Journal articles: 'Curci-Ferrari model'

1

LAVROV, PETER M. "REMARKS ON THE CURCI–FERRARI MODEL." Modern Physics Letters A 27, no. 22 (July 18, 2012): 1250132. http://dx.doi.org/10.1142/s0217732312501325.

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We study a dependence of Green's functions for the Curci–Ferrari model on the parameter resembling the gauge parameter in massless Yang–Mills theories. It is shown that the on-shell generating functional of vertex functions (effective action) depends on this parameter.

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WSCHEBOR, NICOLÁS. "SOME NONRENORMALIZATION THEOREMS IN CURCI–FERRARI MODEL." International Journal of Modern Physics A 23, no. 19 (July 30, 2008): 2961–73. http://dx.doi.org/10.1142/s0217751x08040469.

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In the present paper, a particular form of Slavnov–Taylor identities for the Curci–Ferrari model is deduced. This model consist of Yang–Mills theory in a particular nonlinear covariant gauge, supplemented with mass terms for gluons and ghosts. It can be used as a regularization for the Yang–Mills theory preserving simple Slavnov–Taylor identities. Employing these identities, two nonrenormalization theorems are proved that reduce the number of independent renormalization factors from five to three. These new relations are verified by a comparison to the already known three-loops renormalization factors. These relations include, as a particular case, the corresponding known identities in Yang–Mills theory in Landau gauge.

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Gracey, J. A. "Two loop MS renormalization of the Curci–Ferrari model." Physics Letters B 525, no. 1-2 (January 2002): 89–94. http://dx.doi.org/10.1016/s0370-2693(01)01420-4.

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Browne, R. E., and J. A. Gracey. "The Curci–Ferrari model with massive quarks at two loops." Physics Letters B 540, no. 1-2 (July 2002): 68–74. http://dx.doi.org/10.1016/s0370-2693(02)02131-7.

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Peláez, Marcela. "Massive gluons in Curci-Ferrari model for describing infrared QCD." EPJ Web of Conferences 274 (2022): 02002. http://dx.doi.org/10.1051/epjconf/202227402002.

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At large energy quarks and gluons behave as free particles and therefore the standard perturbative analysis of QCD gives very good results. However, this is not the situation in the low energy regime of QCD which is generally treated with nonperturbative methods. In spite of this, lattice simulations observe that the expansion parameter is not large in the gluonic sector. In particular, the coupling constant do not reach a Landau pole in the infrared as it is expected by standard perturbation theory. On top of this, lattice simulations find that the gluon propagator behaves as a massive propagator in the infrared. Motivated by these observations we use a model that includes a mass for the gluon (Curci-Ferrari) that can reproduce the same kind of behaviour for the gluon propagator and also a similar expansion parameter as the one found by the lattice. In this proceeding we show some of the results of quenched correlation functions obtained by using that small parameter for computing one and two loops corrections. At the end, we compare them with lattice data obtaining very good results.

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Tripathi, A., A. K. Rao, and R. P. Malik. "Superfield Approaches to a Model of Bosonic String: Curci-Ferrari-Type Restrictions." Advances in High Energy Physics 2022 (August 8, 2022): 1–14. http://dx.doi.org/10.1155/2022/9505924.

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Exploiting the theoretical potential of the modified Bonora-Tonin superfield approach (MBTSA) as well as the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive the complete set of off-shell nilpotent (anti-)BRST symmetry transformations corresponding to the classical two- 1 + 1 dimensional (2D) diffeomorphism symmetry transformations on the worldsheet (that is traced out by the motion of a model of bosonic string). Only the BRST symmetry transformations for this model have been discussed in the earlier literature. We derive the (anti-)BRST invariant Curci-Ferrari- (CF-) type restrictions (using MBTSA) which turn out to be the root cause behind the absolute anticommutativity of the above (anti-)BRST symmetry transformations. We capture the symmetry invariance of the (anti-)BRST invariant Lagrangian densities within the ambit of ACSA. The derivation of the proper anti-BRST transformations (corresponding to the already-known BRST transformations) and the (anti-)BRST invariant CF-type restrictions are the novel results in our present endeavor.

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GUPTA, SAURABH, and R. KUMAR. "AUGMENTED SUPERFIELD APPROACH TO NON-YANG–MILLS SYMMETRIES OF JACKIW–PI MODEL: NOVEL OBSERVATIONS." Modern Physics Letters A 28, no. 06 (February 22, 2013): 1350011. http://dx.doi.org/10.1142/s0217732313500119.

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We derive the off-shell nilpotent and absolutely anti-commuting Becchi–Rouet–Stora–Tyutin (BRST) as well as anti-BRST symmetry transformations corresponding to the non-Yang–Mills (NYM) symmetry transformations of (2+1)-dimensional Jackiw–Pi (JP) model within the framework of "augmented" superfield formalism. The Curci–Ferrari (CF) restriction, which is a hallmark of non-Abelian one-form gauge theories, does not appear in this case. One of the novel features of our present investigation is the derivation of proper (anti-)BRST symmetry transformations corresponding to the auxiliary field ρ that cannot be derived by any conventional means.

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de Boer, Jan, Kostas Skenderis, Peter van Nieuwenhuizen, and Andrew Waldron. "On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons." Physics Letters B 367, no. 1-4 (January 1996): 175–82. http://dx.doi.org/10.1016/0370-2693(95)01455-1.

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Malik, R. P. "Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach." Advances in High Energy Physics 2022 (January 29, 2022): 1–14. http://dx.doi.org/10.1155/2022/8155214.

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Within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the full set of proper BRST and anti-BRST transformations for a 2D diffeomorphism invariant theory which is described by the Lagrangian density of a standard bosonic string. The above (anti-)BRST transformations are off-shell nilpotent and absolutely anticommuting. The latter property is valid on a submanifold of the space of quantum fields where the 2D version of the universal (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is satisfied. We derive the precise forms of the BRST and anti-BRST invariant Lagrangian densities as well as the exact expressions for the conserved (anti-)BRST and ghost charges. The lucid derivation of the proper anti-BRST symmetry transformations and the emergence of the CF-type restrictions are completely novel results for our present bosonic string which has already been discussed earlier in literature where only the BRST symmetry transformations have been pointed out. We briefly mention the derivation of the CF-type restrictions from the modified version of the Bonora-Tonin superfield approach, too.

10

Gracey, J. A. "Three loop MS renormalization of the Curci–Ferrari model and the dimension two BRST invariant composite operator in QCD." Physics Letters B 552, no. 1-2 (January 2003): 101–10. http://dx.doi.org/10.1016/s0370-2693(02)03077-0.

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Fernández, Matías, and Marcela Peláez. "On the contribution of different coupling constants in the infrared regime of Yang–Mills theory: A Curci–Ferrari approach." International Journal of Modern Physics A 34, no. 32 (November 20, 2019): 1950214. http://dx.doi.org/10.1142/s0217751x19502142.

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We investigate the influence of the different vertices of two-point correlation functions in the infrared regime of Yang–Mills theory using a phenomenological description. This regime is studied in Landau-gauge and using perturbation theory within a phenomenological massive model. We perform a one-loop calculation for two-point correlation functions taking into account the different roles of the various interactions in the infrared. Our results show a good agreement with the lattice data.

12

Gupta, S., R. Kumar, and R. P. Malik. "Superfield approach to nilpotent symmetries in 3D Jackiw–Pi model of massive non-Abelian theory." Canadian Journal of Physics 92, no. 9 (September 2014): 1033–42. http://dx.doi.org/10.1139/cjp-2013-0457.

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In the available literature, only the Becchi–Rouet–Stora–Tyutin (BRST) symmetries are known for the Jackiw–Pi model of the three (2 + 1)-dimensional (3D) massive non-Abelian gauge theory. We derive the off-shell nilpotent [Formula: see text] and absolutely anticommuting (sbsab + sabsb = 0) (anti-)BRST transformations s(a)b corresponding to the usual Yang–Mills gauge transformations of this model by exploiting the “augmented” superfield formalism where the horizontality condition and gauge invariant restrictions blend together in a meaningful manner. There is a non-Yang–Mills (NYM) symmetry in this theory, too. However, we do not touch the NYM symmetry in our present endeavor. This superfield formalism leads to the derivation of an (anti-)BRST invariant Curci–Ferrari restriction, which plays a key role in the proof of absolute anticommutativity of s(a)b. The derivation of the proper anti-BRST symmetry transformations is important from the point of view of geometrical objects called gerbes. A novel feature of our present investigation is the derivation of the (anti-)BRST transformations for the auxiliary field ρ from our superfield formalism, which is neither generated by the (anti-)BRST charges nor obtained from the requirements of nilpotency and (or) absolute anticommutativity of the (anti-)BRST symmetries for our present 3D non-Abelian 1-form gauge theory.

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Tripathi, A., B. Chauhan, A. K. Rao, and R. P. Malik. "Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches." Advances in High Energy Physics 2021 (November 10, 2021): 1–24. http://dx.doi.org/10.1155/2021/2056629.

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We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one 0 + 1 -dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism to obtain the nilpotent (anti-)BRST symmetry transformations of the target space variables and the (anti-)BRST invariant Curci-Ferrari- (CF-) type restriction for the 1D model of our supersymmetric (SUSY) system. The nilpotent (anti-)BRST symmetry transformations for other variables of our model are derived by using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of the latter, we have shown the existence of the CF-type restriction by proving the (i) symmetry invariance of the coupled Lagrangians and (ii) the absolute anticommutativity property of the conserved (anti-)BRST charges. The application of the MBTSA to a physical SUSY system (i.e., a 1D model of a massive spinning particle) is a novel result in our present endeavor. In the application of ACSA, we have considered only the (anti-)chiral super expansions of the supervariables. Hence, the observation of the absolute anticommutativity of the (anti-)BRST charges is a novel result. The CF-type restriction is universal in nature as it turns out to be the same for the SUSY and non-SUSY reparameterization (i.e., 1D diffeomorphism) invariant models of the (non-)relativistic particles.

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Tripathi, A., B. Chauhan, A. K. Rao, and R. P. Malik. "Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches." Advances in High Energy Physics 2020 (August 17, 2020): 1–25. http://dx.doi.org/10.1155/2020/1236518.

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We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST), and anti-BRST symmetries and derive corresponding nilpotent charges for the one 0+1-dimensional (1D) massive model of a spinning relativistic particle. We exploit the theoretical potential and power of the BRST and supervariable approaches to derive the (anti-)BRST symmetries and coupled (but equivalent) Lagrangians for this system. In particular, we capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of the newly proposed (anti-)chiral supervariable approach (ACSA) to BRST formalism where only the (anti-)chiral supervariables (and their suitable super expansions) are taken into account along the Grassmannian direction(s). One of the novel observations of our present investigation is the derivation of the Curci-Ferrari- (CF-) type restriction by the requirement of the absolute anticommutativity of the (anti-)BRST charges in the ordinary space. We obtain the same restriction within the framework of ACSA to BRST formalism by (i) the symmetry invariance of the coupled Lagrangians and (ii) the proof of the absolute anticommutativity of the conserved and nilpotent (anti-)BRST charges. The observation of the anticommutativity property of the (anti-)BRST charges is a novel result in view of the fact that we have taken into account only the (anti-)chiral super expansions.

15

Peláez, Marcela, Urko Reinosa, Julien Serreau, Matthieu Tissier, and Nicolás Wschebor. "A window on infrared QCD with small expansion parameters." Reports on Progress in Physics 84, no. 12 (December 1, 2021): 124202. http://dx.doi.org/10.1088/1361-6633/ac36b8.

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Abstract Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector—defined, e.g., in the Taylor scheme—remains finite and moderate at all scales, suggesting that some kind of perturbative description should be valid down to infrared momenta. Second, the gluon propagator reaches a finite nonzero value at vanishing momentum, corresponding to a gluon screening mass. We review recent studies which aim at describing the long-distance properties of Landau gauge QCD by means of the perturbative Curci–Ferrari model. The latter is the simplest deformation of the Faddeev–Popov Lagrangian in the Landau gauge that includes a gluon screening mass at tree-level. There are, by now, strong evidences that this approach successfully describes many aspects of the infrared QCD dynamics. In particular, several correlation functions were computed at one- and two-loop orders and compared with ab-initio lattice simulations. The typical error is of the order of ten percent for a one-loop calculation and drops to few percents at two loops. We review such calculations in the quenched approximation as well as in the presence of dynamical quarks. In the latter case, the spontaneous breaking of the chiral symmetry requires to go beyond a coupling expansion but can still be described in a controlled approximation scheme in terms of small parameters. We also review applications of the approach to nonzero temperature and chemical potential.

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Rao, A. K., A. Tripathi, and R. P. Malik. "Supervariable and BRST Approaches to a Reparameterization Invariant Nonrelativistic System." Advances in High Energy Physics 2021 (July 22, 2021): 1–20. http://dx.doi.org/10.1155/2021/5593434.

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We exploit the theoretical strength of the supervariable and Becchi-Rouet-Stora-Tyutin (BRST) formalisms to derive the proper (i.e., off-shell nilpotent and absolutely anticommuting) (anti-)BRST symmetry transformations for the reparameterization invariant model of a nonrelativistic (NR) free particle whose space x and time t variables are a function of an evolution parameter τ . The infinitesimal reparameterization (i.e., 1D diffeomorphism) symmetry transformation of our theory is defined w.r.t. this evolution parameter τ . We apply the modified Bonora-Tonin (BT) supervariable approach (MBTSA) as well as the (anti)chiral supervariable approach (ACSA) to BRST formalism to discuss various aspects of our present system. For this purpose, our 1D ordinary theory (parameterized by τ ) is generalized onto a 1 , 2 -dimensional supermanifold which is characterized by the superspace coordinates Z M = τ , θ , θ ¯ where a pair of the Grassmannian variables satisfy the fermionic relationships: θ 2 = θ ¯ 2 = 0 , θ θ ¯ + θ ¯ θ = 0 , and τ is the bosonic evolution parameter. In the context of ACSA, we take into account only the 1 , 1 -dimensional (anti)chiral super submanifolds of the general 1 , 2 -dimensional supermanifold. The derivation of the universal Curci-Ferrari- (CF-) type restriction, from various underlying theoretical methods, is a novel observation in our present endeavor. Furthermore, we note that the form of the gauge-fixing and Faddeev-Popov ghost terms for our NR and non-SUSY system is exactly the same as that of the reparameterization invariant SUSY (i.e., spinning) and non-SUSY (i.e., scalar) relativistic particles. This is a novel observation, too.

17

KUMAR, S., B. Chauhan, and R. P. Malik. "(Anti-)chiral supervariable approach to nilpotent and absolutely anticommuting conserved charges of reparametrization invariant theories: A couple of relativistic toy models as examples." International Journal of Modern Physics A 33, no. 22 (August 10, 2018): 1850133. http://dx.doi.org/10.1142/s0217751x18501336.

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We exploit the potential and power of the Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST invariant restrictions on the (anti-)chiral supervariables to derive the proper nilpotent (anti-)BRST symmetries for the reparametrization invariant one (0[Formula: see text]+[Formula: see text]1)-dimensional (1D) toy models of a free relativistic particle as well as a free spinning (i.e. supersymmetric) relativistic particle within the framework of (anti-)chiral supervariable approach to BRST formalism. Despite the (anti-)chiral super expansions of the (anti-)chiral supervariables, we observe that the (anti-)BRST charges, for the above toy models, turn out to be absolutely anticommuting in nature. This is one of the novel observations of our present endeavor. For this proof, we utilize the beauty and strength of Curci–Ferrari (CF)-type restriction in the context of a spinning relativistic particle but no such restriction is required in the case of a free scalar relativistic particle. We have also captured the nilpotency property of the conserved charges as well as the (anti-)BRST invariance of the appropriate Lagrangian(s) of our present toy models within the framework of (anti-)chiral supervariable approach.

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Peláez, Marcela, Matthieu Tissier, and Nicolás Wschebor. "Quark-gluon vertex from the Landau gauge Curci-Ferrari model." Physical Review D 92, no. 4 (August 11, 2015). http://dx.doi.org/10.1103/physrevd.92.045012.

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Surkau, Victor Tomas Mari, and Urko Reinosa. "Deconfinement transition within the Curci-Ferrari model: Renormalization scale and scheme dependences." Physical Review D 109, no. 9 (May 22, 2024). http://dx.doi.org/10.1103/physrevd.109.094033.

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We analyze the confinement/deconfinement transition of pure Yang-Mills theories within the framework of the center-symmetric Landau gauge supplemented by a Curci-Ferrari mass term that models the effect of the associated Gribov copies in the infrared. In addition to providing details for earlier one-loop calculations in that framework, we explore how the results depend on the renormalization scale and/or on the renormalization scheme. We find that the predicted values for the transition temperatures of SU(2) and SU(3) Yang-Mills theories are similar in both schemes and are little sensitive to the renormalization scale μ over a wide range of values including the standard range μ∈[πT,4πT]. These values are also close both to those obtained from a minimal sensitivity principle and to those of lattice simulations, especially in the SU(3) case. These results further confirm the good behavior of perturbative calculations within the Curci-Ferrari model and support the adequacy of the latter as an effective description of Yang-Mills theories in the infrared. We perform a similar analysis for the spinodal temperatures in the SU(3) case and for the Polyakov loop, the order parameter associated with the breaking of center symmetry. Published by the American Physical Society 2024

20

Barrios, Nahuel, John A. Gracey, Marcela Peláez, and Urko Reinosa. "Two-loop corrections to the QCD propagators within the Curci-Ferrari model." Physical Review D 104, no. 9 (November 17, 2021). http://dx.doi.org/10.1103/physrevd.104.094019.

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21

Barrios, Nahuel, Marcela Peláez, Urko Reinosa, and Nicolás Wschebor. "Ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections." Physical Review D 102, no. 11 (December 8, 2020). http://dx.doi.org/10.1103/physrevd.102.114016.

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Gracey, John A., Marcela Peláez, Urko Reinosa, and Matthieu Tissier. "Two-loop calculation of Yang-Mills propagators in the Curci-Ferrari model." Physical Review D 100, no. 3 (August 23, 2019). http://dx.doi.org/10.1103/physrevd.100.034023.

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23

Barrios, Nahuel, Philipe De Fabritiis, and Marcela Peláez. "Four-gluon vertex from the Curci-Ferrari model at one-loop order." Physical Review D 109, no. 9 (May 6, 2024). http://dx.doi.org/10.1103/physrevd.109.l091502.

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24

van Egmond, Duifje Maria, Urko Reinosa, Julien Serreau, and Matthieu Tissier. "A novel background field approach to the confinement-deconfinement transition." SciPost Physics 12, no. 3 (March 9, 2022). http://dx.doi.org/10.21468/scipostphys.12.3.087.

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We propose a novel approach to the confinement-deconfinement transition in Yang-Mills theories in the context of gauge-fixed calculations. The method is based on a background-field generalisation of the Landau gauge (to which it reduces at vanishing temperature) with a given, center-symmetric background. This is to be contrasted with most implementations of background field methods in gauge theories, where one uses a variable, self-consistent background. Our proposal is a bona fide gauge fixing that can easily be implemented on the lattice and in continuum approaches. The resulting gauge-fixed action explicitly exhibits the center symmetry of the nonzero temperature theory that controls the confinement-deconfinement transition. We show that, in that gauge, the electric susceptibility diverges at a second order transition [e.g., in the SU(2) theory], so that the gluon propagator is a clear probe of the transition. We implement our proposal in the perturbative Curci-Ferrari model, known for its successful description of various infrared aspects of Yang-Mills theories, including the confinement-deconfinement transition. Our one-loop calculation confirms our general expectation for the susceptibility while providing transition temperatures in excellent agreement with the SU(2) and SU(3) lattice values. Finally, the Polyakov loops above the transition show a more moderate rise, in contrast to previous implementations of the Curci-Ferrari model using a self-consistent background, and our SU(3) result agrees quite well with the lattice data in the range [0,2T_c][0,2Tc].

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Figueroa, Felipe, and Marcela Peláez. "One-loop unquenched three-gluon and ghost-gluon vertices in the Curci-Ferrari model." Physical Review D 105, no. 9 (May 10, 2022). http://dx.doi.org/10.1103/physrevd.105.094005.

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Barrios, Nahuel, Marcela Peláez, and Urko Reinosa. "Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders." Physical Review D 106, no. 11 (December 30, 2022). http://dx.doi.org/10.1103/physrevd.106.114039.

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Barrios, N., M. Peláez, M. S. Guimaraes, B. W. Mintz, and L. F. Palhares. "Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics." Physical Review D 109, no. 9 (May 24, 2024). http://dx.doi.org/10.1103/physrevd.109.094039.

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Correlation functions are important probes for the behavior of quantum field theories. Already at tree-level, the refined Gribov-Zwanziger (RGZ) effective action for Yang-Mills theories provides a good approximation for the gluon propagator, as compared to that calculated by nonperturbative methods such as lattice field theory and Dyson-Schwinger equations. However, the study of higher correlation functions of the RGZ theory is still at its beginning. In this work we evaluate the ghost-gluon vertex function in Landau gauge at one-loop level, in d=4 space-time dimensions for the gauge groups SU(2) and SU(3). More precisely, we extend the analysis conducted in [1] for the soft-gluon limit to an arbitrary kinematic configuration. We introduce renormalization group effects by means of a toy model for the running coupling and investigate the impact of such a model in the ultraviolet tails of our results. We find that RGZ results match fairly closely those from lattice simulations, Schwinger-Dyson equations and the Curci-Ferrari model for three different kinematic configurations. This is compatible with RGZ being a feasible theory for the strong interaction in the infrared regime. Published by the American Physical Society 2024

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Chauhan, B., A. K. Rao, A. Tripathi, and R. P. Malik. "1D diffeomorphism invariant model of a free scalar relativistic particle: Supervariable and BRST approaches." International Journal of Modern Physics A, November 11, 2022. http://dx.doi.org/10.1142/s0217751x22501640.

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We apply the supervariable approach to derive the proper quantum Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetries for the 1D diffeomorphism invariant model of a free scalar relativistic particle by exploiting the infinitesimal classical reparameterization (i.e. 1D diffeomorphism) symmetry of this theory. We derive the conserved and off-shell nilpotent (anti-)BRST charges and prove their absolute anticommutativity property by using the virtues of Curci–Ferrari (CF)-type restriction of our present theory. We establish the sanctity of the existence of CF-type restriction (i) by considering the (anti-)BRST symmetry transformations of the coupled (but equivalent) Lagrangians and (ii) by proving the symmetry invariance of the Lagrangians within the framework of supervariable approach. We capture the nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of (anti-)chiral supervariable approach (ACSA) to BRST formalism. One of the novel observations of our present endeavor is the derivation of CF-type restriction by using the modified Bonora–Tonin (BT) supervariable approach (while deriving the (anti-)BRST symmetries for the target space–time and/or momenta variables) and by symmetry considerations of the Lagrangians of the theory. The rest of the (anti-)BRST symmetries, for the other variables, are derived by using the newly proposed ACSA. We also demonstrate the existence of CF-type restriction in the proof of absolute anticommutativity of the (anti-)BRST charges.

Journal articles on the topic 'Curci-Ferrari model'

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