Relevant bibliographies by topics / Weyl-invariance

Academic literature on the topic 'Weyl-invariance'

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Published: 14 March 2023

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Journal articles on the topic "Weyl-invariance"

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NIETO, J. A. "REMARKS ON WEYL INVARIANT p-BRANES AND Dp-BRANES." Modern Physics Letters A 16, no. 40 (December 28, 2001): 2567–78. http://dx.doi.org/10.1142/s0217732301005497.

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A mechanism to find different Weyl invariant p-branes and Dp-branes actions is explained. Our procedure clarifies the Weyl invariance for such systems. Besides, by considering gravity–dilaton effective action in higher dimensions, we also derive a Weyl invariant action for p-branes. We argue that this derivation provides a geometrical scenario for the Weyl invariance of p-branes. Our considerations can be extended to the case of super-p-branes.
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Iorio, A., L. O'Raifeartaigh, I. Sachs, and C. Wiesendanger. "Weyl gauging and conformal invariance." Nuclear Physics B 495, no. 1-2 (June 1997): 433–50. http://dx.doi.org/10.1016/s0550-3213(97)00190-9.

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Gover, A. R., A. Shaukat, and A. Waldron. "Tractors, mass, and Weyl invariance." Nuclear Physics B 812, no. 3 (May 2009): 424–55. http://dx.doi.org/10.1016/j.nuclphysb.2008.11.026.

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Zaikov, R. P. "Conformal invariance in Weyl gravity." International Journal of Theoretical Physics 26, no. 6 (June 1987): 537–48. http://dx.doi.org/10.1007/bf00670092.

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Dabholkar, Atish. "Quantum Weyl invariance and cosmology." Physics Letters B 760 (September 2016): 31–35. http://dx.doi.org/10.1016/j.physletb.2016.06.034.

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Edery, Ariel, and Yu Nakayama. "Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance." Modern Physics Letters A 30, no. 30 (September 7, 2015): 1550152. http://dx.doi.org/10.1142/s0217732315501527.

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Recently, it has been pointed out that dimensionless actions in four-dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed restricted Weyl invariance. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein–Hilbert action with cosmological constant and a Higgs mass. The model also contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to the Higgs field is negligibly small, this fixes the coefficient of the nonminimal coupling [Formula: see text] between the Higgs field and gravity. Besides the Higgs sector, all the other fields of the Standard Model can be incorporated into the original restricted Weyl invariant action.
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BIZDADEA, C., E. M. CIOROIANU, and A. C. LUNGU. "NO INTERACTIONS FOR A COLLECTION OF WEYL GRAVITONS INTERMEDIATED BY A SCALAR FIELD." International Journal of Modern Physics A 21, no. 19n20 (August 10, 2006): 4083–126. http://dx.doi.org/10.1142/s0217751x06031284.

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The cross-couplings among several Weyl gravitons (described in the free limit by a sum of linearized Weyl actions) in the presence of a scalar field are studied with the help of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincaré invariance, (background) Lorentz invariance, and the preservation of the number of derivatives on each field, together with the supplementary assumption that the internal metric defined by the sum of Weyl Lagrangians is positively defined, we prove that there are no consistent cross-interactions among different Weyl gravitons in the presence of a scalar field. The couplings of a single Weyl graviton to a scalar field are also discussed.
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FUJIWARA, TAKANORI, YUJI IGARASHI, and JISUKE KUBO. "WEYL INVARIANCE AND SPURIOUS BLACK HOLES IN TWO-DIMENSIONAL DILATON GRAVITY." International Journal of Modern Physics A 09, no. 27 (October 30, 1994): 4811–35. http://dx.doi.org/10.1142/s0217751x94001953.

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In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes the black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The crucial observation is that the conformal anomaly can be cohomologically trivial and so not truly anomalous in such dilaton gravity models.
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Alvarez, Enrique, Sergio González-Martín, and Mario Herrero-Valea. "Some cosmological consequences of Weyl invariance." Journal of Cosmology and Astroparticle Physics 2015, no. 03 (March 19, 2015): 035. http://dx.doi.org/10.1088/1475-7516/2015/03/035.

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Kuzenko, Sergei M., and Gabriele Tartaglino-Mazzucchelli. "Super-Weyl invariance in 5D supergravity." Journal of High Energy Physics 2008, no. 04 (April 10, 2008): 032. http://dx.doi.org/10.1088/1126-6708/2008/04/032.

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Dissertations / Theses on the topic "Weyl-invariance"

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Bonezzi, Roberto <1983&gt. "Complex higher spins, Weyl invariance and tractors." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amsdottorato.unibo.it/3546/1/bonezzi_roberto_tesi.pdf.

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In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effective action on a Kaehler background, as well as exact duality relations. Interesting results are found also in the definition of the functional integral for the so called O(N) spinning particles, that will allow to study real higher spins on curved spaces. In the second part, I study Weyl invariant field theories by using a particular mathematical framework known as tractor calculus, that enable to maintain at each step manifest Weyl covariance.
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Bonezzi, Roberto <1983&gt. "Complex higher spins, Weyl invariance and tractors." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amsdottorato.unibo.it/3546/.

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In this thesis work I analyze higher spin field theories from a first quantized perspective, finding in particular new equations describing complex higher spin fields on Kaehler manifolds. They are studied by means of worldline path integrals and canonical quantization, in the framework of supersymmetric spinning particle theories, in order to investigate their quantum properties both in flat and curved backgrounds. For instance, by quantizing a spinning particle with one complex extended supersymmetry, I describe quantum massless (p,0)-forms and find a worldline representation for their effective action on a Kaehler background, as well as exact duality relations. Interesting results are found also in the definition of the functional integral for the so called O(N) spinning particles, that will allow to study real higher spins on curved spaces. In the second part, I study Weyl invariant field theories by using a particular mathematical framework known as tractor calculus, that enable to maintain at each step manifest Weyl covariance.
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D'Odorico, Giulio. "Applications of the Functional Renormalization Group: From Statistical Models to Quantum Gravity." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4815.

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The present dissertation is essentially a collection of three investigations, in the context of the functional Renormalization Group. First, we will apply it to scalar models with internal O(N) symmetry, to study their universality classes and how the Mermin-Wagner theorem is seen in the RG framework. Next, we will use it to study Weyl-invariant systems, and in particular to obtain a nonperturbative proof that a quantization procedure respecting Weyl invariance is always possible, regardless of the field content of the theory. Finally, to investigate the corrections to the gravitational beta functions due to the anomalous dimensions of gravitons and ghosts.
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Broccoli, Matteo. "On the trace anomaly of a Weyl fermion in a gauge background." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16408/.

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In this thesis we study the trace anomaly of a Weyl fermion in an abelian gauge background. We first introduce the topic of anomaly in Quantum Fields Theory and provide case studies of a global and a gauge anomaly. Then, we review the lagrangians of the Weyl fermion and Dirac fermion, the models that are the focus of our chiral and trace anomaly computations. Since we evaluate the anomalies using Pauli-Villars (PV) regularization, we present different PV masses and discuss the classical symmetries they break. We identify the differential operators that enter our regularization schemes and we review the method that we use to evaluate anomalies: we read them from the path integral à la Fujikawa and compute them with heat kernel formulas. Then, we evaluate the chiral and trace anomaly of the models we are interested in. The chiral anomaly is well studied in the literature and we reproduce the standard result. The trace anomaly is our original result and, although the presence of the chiral anomaly implies a breakdown of gauge invariance, we find that the trace anomaly can be cast in a gauge invariant form. The issue is analogous to the one recently discussed in the literature about a conjectured contribution of an odd-parity term to the trace anomaly of a Weyl fermion in curved backgrounds. With an abelian gauge background, this odd-parity term would be a Chern-Pontryagin density, that does not appear in our final results.
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Books on the topic "Weyl-invariance"

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Strocchi, Franco. Gauge Invariance and Weyl-polymer Quantization. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6.

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Strocchi, Franco. Gauge Invariance and Weyl-polymer Quantization. Springer, 2015.

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Strocchi, Franco. Gauge Invariance and Weyl-Polymer Quantization. Springer London, Limited, 2015.

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Rajeev, S. G. Boundary Layers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0007.

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It is found experimentally that all the components of fluid velocity (not just thenormal component) vanish at a wall. No matter how small the viscosity, the large velocity gradients near a wall invalidate Euler’s equations. Prandtl proposed that viscosity has negligible effect except near a thin region near a wall. Prandtl’s equations simplify the Navier-Stokes equation in this boundary layer, by ignoring one dimension. They have an unusual scale invariance in which the distances along the boundary and perpendicular to it have different dimensions. Using this symmetry, Blasius reduced Prandtl’s equations to one dimension. They can then be solved numerically. A convergent analytic approximation was also found by H. Weyl. The drag on a flat plate can now be derived, resolving d’Alembert’s paradox. When the boundary is too long, Prandtl’s theory breaks down: the boundary layer becomes turbulent or separates from the wall.
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Book chapters on the topic "Weyl-invariance"

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Strocchi, Franco. "Diffeomorphism Invariance and Weyl Polymer Quantization." In Gauge Invariance and Weyl-polymer Quantization, 77–84. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_5.

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Strocchi, Franco. "Heisenberg Quantization and Weyl Quantization." In Gauge Invariance and Weyl-polymer Quantization, 1–9. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_1.

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Strocchi, Franco. "Delocalization, Gauge Invariance and Non-regular Representations." In Gauge Invariance and Weyl-polymer Quantization, 11–33. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_2.

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Strocchi, Franco. "Quantum Mechanical Gauge Models." In Gauge Invariance and Weyl-polymer Quantization, 35–51. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_3.

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Strocchi, Franco. "Non-regular Representations in Quantum Field Theory." In Gauge Invariance and Weyl-polymer Quantization, 53–76. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_4.

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Strocchi, Franco. "∗ A Generalization of the Stone-von Neumann Theorem." In Gauge Invariance and Weyl-polymer Quantization, 85–90. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-17695-6_6.

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Ryckman, Thomas. "Hermann Weyl and “First Philosophy”: Constituting Gauge Invariance." In The Western Ontario Series In Philosophy of Science, 279–98. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9510-8_17.

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Romero, Carlos, and J. B. Fonseca-Neto. "GENERAL RELATIVITY AND WEYL GEOMETRY: TOWARDS A NEW INVARIANCE PRINCIPLE." In Particle Physics at the Tercentenary of Mikhail Lomonosov, 408–11. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814436830_0088.

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STOCHEL, JAN, and F. H. SZAFRANIEC. "CIRCULAR INVARIANCE OF THE WEYL FORM OF THE CANONICAL COMMUTATION RELATION." In Mathematical Physics and Stochastic Analysis, 379–83. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792167_0030.

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Conference papers on the topic "Weyl-invariance"

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Oda, Ichiro. "Planck scale from broken local conformal invariance in Weyl geometry." In Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity". Trieste, Italy: Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.376.0070.

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