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Articoli di riviste sul tema "Lattice gauge theories"

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Autore: Grafiati

Pubblicato: 4 giugno 2021

Ultima modifica: 21 febbraio 2023

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1

Hasenfratz, A., e P. Hasenfratz. "Lattice Gauge Theories". Annual Review of Nuclear and Particle Science 35, n. 1 (dicembre 1985): 559–604. http://dx.doi.org/10.1146/annurev.ns.35.120185.003015.

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2

Shuo-hong, Guo. "Lattice Gauge-Theories". Communications in Theoretical Physics 4, n. 5 (settembre 1985): 613–30. http://dx.doi.org/10.1088/0253-6102/4/5/613.

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3

Majumdar, Peter. "Lattice gauge theories". Scholarpedia 7, n. 4 (2012): 8615. http://dx.doi.org/10.4249/scholarpedia.8615.

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4

Golterman, Maarten. "Lattice chiral gauge theories". Nuclear Physics B - Proceedings Supplements 94, n. 1-3 (marzo 2001): 189–203. http://dx.doi.org/10.1016/s0920-5632(01)00953-7.

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5

Barbiero, Luca, Christian Schweizer, Monika Aidelsburger, Eugene Demler, Nathan Goldman e Fabian Grusdt. "Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux attachment to ℤ2 lattice gauge theories". Science Advances 5, n. 10 (ottobre 2019): eaav7444. http://dx.doi.org/10.1126/sciadv.aav7444.

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From the standard model of particle physics to strongly correlated electrons, various physical settings are formulated in terms of matter coupled to gauge fields. Quantum simulations based on ultracold atoms in optical lattices provide a promising avenue to study these complex systems and unravel the underlying many-body physics. Here, we demonstrate how quantized dynamical gauge fields can be created in mixtures of ultracold atoms in optical lattices, using a combination of coherent lattice modulation with strong interactions. Specifically, we propose implementation of ℤ2 lattice gauge theories coupled to matter, reminiscent of theories previously introduced in high-temperature superconductivity. We discuss a range of settings from zero-dimensional toy models to ladders featuring transitions in the gauge sector to extended two-dimensional systems. Mastering lattice gauge theories in optical lattices constitutes a new route toward the realization of strongly correlated systems, with properties dictated by an interplay of dynamical matter and gauge fields.

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6

Fachin, Stefano, e Claudio Parrinello. "Global gauge fixing in lattice gauge theories". Physical Review D 44, n. 8 (15 ottobre 1991): 2558–64. http://dx.doi.org/10.1103/physrevd.44.2558.

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7

Ryang, S., T. Saito, F. Oki e K. Shigemoto. "Lattice thermodynamics for gauge theories". Physical Review D 31, n. 6 (15 marzo 1985): 1519–21. http://dx.doi.org/10.1103/physrevd.31.1519.

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8

PESANDO, IGOR. "VECTOR INDUCED LATTICE GAUGE THEORIES". Modern Physics Letters A 08, n. 29 (21 settembre 1993): 2793–801. http://dx.doi.org/10.1142/s0217732393003184.

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We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We show that the fermionic models have D c = 6 as upper critical dimension for N ≠ ∞ while the N = ∞ model has no upper critical dimension. We also show that the bosonic models without potential are not critical in the range of stability of the integral definition of the partition function but they behave as the fermionic models when we analytically continue the free energy.

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9

Pendleton, Brian. "Acceleration of lattice gauge theories". Nuclear Physics B - Proceedings Supplements 4 (aprile 1988): 590–94. http://dx.doi.org/10.1016/0920-5632(88)90160-0.

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10

Maiani, L., G. C. Rossi e M. Testa. "On lattice chiral gauge theories". Physics Letters B 261, n. 4 (giugno 1991): 479–85. http://dx.doi.org/10.1016/0370-2693(91)90459-4.

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11

Testa, Massimo. "On lattice chiral gauge theories". Nuclear Physics B - Proceedings Supplements 26 (gennaio 1992): 228–33. http://dx.doi.org/10.1016/0920-5632(92)90241-j.

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12

Tagliacozzo, L., A. Celi, A. Zamora e M. Lewenstein. "Optical Abelian lattice gauge theories". Annals of Physics 330 (marzo 2013): 160–91. http://dx.doi.org/10.1016/j.aop.2012.11.009.

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13

DASS, N. D. HARI. "REGULARISATION OF CHIRAL GAUGE THEORIES". International Journal of Modern Physics B 14, n. 19n20 (10 agosto 2000): 1989–2010. http://dx.doi.org/10.1142/s0217979200001138.

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This article gives a review of the topic of regularising chiral gauge theories and is aimed at a general audience. It begins by clarifying the meaning of chirality and goes on to discussing chiral projections in field theory, parity violation and the distinction between vector and chiral field theories. It then discusses the standard model of electroweak interactions from the perspective of chirality. It also reviews at length the phenomenon of anomalies in quantum field theories including the intuitive understanding of anomalies based on the Dirac sea picture as given by Nielsen and Ninomiya. It then raises the issue of a non-perturbative and constructive definition of the standard model as well as the importance of such formulations. The second Nielsen–Ninomiya theorem about the impossibility of regularising chiral gauge theories under some general assumptions is also discussed. After a brief review of lattice regularisation of field theories, it discusses the issue of fermions on the lattice with special emphasis on the problem of species doubling. The implications of these problems to introducing chiral fermions on the lattice as well as the interpretations of anomalies within the lattice formulations and the lattice Dirac sea picture are then discussed. Finally the difficulties of formulating the standard model on the lattice are illustrated through detailed discussions of the Wilson–Yukawa method, the domain wall fermions method and the recently popular Ginsparg–Wilson method.

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14

Halimeh, Jad C., Haifeng Lang e Philipp Hauke. "Gauge protection in non-abelian lattice gauge theories". New Journal of Physics 24, n. 3 (1 marzo 2022): 033015. http://dx.doi.org/10.1088/1367-2630/ac5564.

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Abstract Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter. A major challenge is the reliability of such schemes in non-abelian gauge theories where local conservation laws do not commute. Here, we show through exact diagonalization (ED) that non-abelian gauge invariance can be reliably controlled using gauge-protection terms that energetically stabilize the target gauge sector in Hilbert space, suppressing gauge violations due to unitary gauge-breaking errors. We present analytic arguments that predict a volume-independent protection strength V, which when sufficiently large leads to the emergence of an adjusted gauge theory with the same local gauge symmetry up to least a timescale ∝ V / V 0 3 . Thereafter, a renormalized gauge theory dominates up to a timescale ∝exp(V/V 0)/V 0 with V 0 a volume-independent energy factor, similar to the case of faulty abelian gauge theories. Moreover, we show for certain experimentally relevant errors that single-body protection terms robustly suppress gauge violations up to all accessible evolution times in ED, and demonstrate that the adjusted gauge theory emerges in this case as well. These single-body protection terms can be readily implemented with fewer engineering requirements than the ideal gauge theory itself in current ultracold-atom setups and noisy intermediate-scale quantum (NISQ) devices.

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15

Golterman, Maarten F. L., e Yigal Shamir. "A gauge-fixing action for lattice gauge theories". Physics Letters B 399, n. 1-2 (aprile 1997): 148–55. http://dx.doi.org/10.1016/s0370-2693(97)00277-3.

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16

Bock, Wolfgang, Maarten Golterman e Yigal Shamir. "Gauge-fixing approach to lattice chiral gauge theories". Nuclear Physics B - Proceedings Supplements 63, n. 1-3 (aprile 1998): 147–52. http://dx.doi.org/10.1016/s0920-5632(97)00706-8.

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17

Shamir, Yigal. "Lattice chiral gauge theories in a renormalizable gauge". Nuclear Physics B - Proceedings Supplements 53, n. 1-3 (febbraio 1997): 664–67. http://dx.doi.org/10.1016/s0920-5632(96)00748-7.

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18

Mizutani, Masashi, e Atsushi Nakamura. "Stochastic gauge fixing for compact lattice gauge theories". Nuclear Physics B - Proceedings Supplements 34 (aprile 1994): 253–55. http://dx.doi.org/10.1016/0920-5632(94)90359-x.

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19

ALFORD, MARK G., e JOHN MARCH-RUSSELL. "DISCRETE GAUGE THEORIES". International Journal of Modern Physics B 05, n. 16n17 (ottobre 1991): 2641–73. http://dx.doi.org/10.1142/s021797929100105x.

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In this review we discuss the formulation and distinguishing characteristics of discrete gauge theories, and describe several important applications of the concept. For the abelian (ℤN) discrete gauge theories, we consider the construction of the discrete charge operator F(Σ*) and the associated gauge-invariant order parameter that distinguishes different Higgs phases of a spontaneously broken U(1) gauge theory. We sketch some of the important thermodynamic consequences of the resultant discrete quantum hair on black holes. We further show that, as a consequence of unbroken discrete gauge symmetries, Grand Unified cosmic strings generically exhibit a Callan-Rubakov effect. For non-abelian discrete gauge theories we discuss in some detail the charge measurement process, and in the context of a lattice formulation we construct the non-abelian generalization of F(Σ*). This enables us to build the order parameter that distinguishes the different Higgs phases of a non-abelian discrete lattice gauge theory with matter. We also describe some of the fascinating phenomena associated with non-abelian gauge vortices. For example, we argue that a loop of Alice string, or any non-abelian string, is super-conducting by virtue of charged zero modes whose charge cannot be localized anywhere on or around the string (“Cheshire charge”). Finally, we discuss the relationship between discrete gauge theories and the existence of excitations possessing exotic spin and statistics (and more generally excitations whose interactions are purely “topological”).

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20

Kovács, Tamás G., e Zsolt Schram. "Homology and abelian lattice gauge theories". Acta Physica Hungarica A) Heavy Ion Physics 1, n. 3-4 (giugno 1995): 273–83. http://dx.doi.org/10.1007/bf03053747.

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21

Kijowski, Jerzy, e Gerd Rudolph. "New lattice approximation of gauge theories". Physical Review D 31, n. 4 (15 febbraio 1985): 856–64. http://dx.doi.org/10.1103/physrevd.31.856.

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22

Davis, Anne C., Tom W. B. Kibble, Arttu Rajantie e Hugh P. Shanahan. "Topological defects in lattice gauge theories". Journal of High Energy Physics 2000, n. 11 (6 novembre 2000): 010. http://dx.doi.org/10.1088/1126-6708/2000/11/010.

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23

Bodwin, Geoffrey T. "Lattice formulation of chiral gauge theories". Physical Review D 54, n. 10 (15 novembre 1996): 6497–520. http://dx.doi.org/10.1103/physrevd.54.6497.

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24

Buividovich, P. V., e M. I. Polikarpov. "Entanglement entropy in lattice gauge theories". Journal of Physics A: Mathematical and Theoretical 42, n. 30 (14 luglio 2009): 304005. http://dx.doi.org/10.1088/1751-8113/42/30/304005.

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25

Friedberg, R., T. D. Lee, Y. Pang e H. C. Ren. "Noncompact lattice formulation of gauge theories". Physical Review D 52, n. 7 (1 ottobre 1995): 4053–81. http://dx.doi.org/10.1103/physrevd.52.4053.

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26

Aoki, Sinya. "Chiral Gauge Theories on a Lattice". Physical Review Letters 60, n. 21 (23 maggio 1988): 2109–12. http://dx.doi.org/10.1103/physrevlett.60.2109.

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27

Funakubo, Koichi, e Taro Kashiwa. "Chiral Gauge Theories on a Lattice". Physical Review Letters 60, n. 21 (23 maggio 1988): 2113–16. http://dx.doi.org/10.1103/physrevlett.60.2113.

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28

Mitrjushkin, V. K. "Classical solutions in lattice gauge theories". Physics Letters B 389, n. 4 (dicembre 1996): 713–19. http://dx.doi.org/10.1016/s0370-2693(96)80014-1.

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29

Mathur, Manu. "Loop approach to lattice gauge theories". Nuclear Physics B 779, n. 1-2 (settembre 2007): 32–62. http://dx.doi.org/10.1016/j.nuclphysb.2007.04.031.

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30

Lüscher, M., e P. Weisz. "On-shell improved lattice gauge theories". Communications in Mathematical Physics 98, n. 3 (settembre 1985): 433. http://dx.doi.org/10.1007/bf01205792.

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31

Lüscher, M., e P. Weisz. "On-shell improved lattice gauge theories". Communications in Mathematical Physics 97, n. 1-2 (marzo 1985): 59–77. http://dx.doi.org/10.1007/bf01206178.

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32

Bałaban, T. "Averaging operations for lattice gauge theories". Communications in Mathematical Physics 98, n. 1 (marzo 1985): 17–51. http://dx.doi.org/10.1007/bf01211042.

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33

Gavai, R. V. "Recent advances in lattice gauge theories". Pramana 54, n. 4 (aprile 2000): 487–97. http://dx.doi.org/10.1007/s12043-000-0145-7.

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34

Schoenmaker, Wim, e Roger Horsley. "Transport coefficients and lattice gauge theories". Nuclear Physics B - Proceedings Supplements 4 (aprile 1988): 318–21. http://dx.doi.org/10.1016/0920-5632(88)90121-1.

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35

Kronfeld, Andreas S. "Topological aspects of lattice gauge theories". Nuclear Physics B - Proceedings Supplements 4 (aprile 1988): 329–51. http://dx.doi.org/10.1016/0920-5632(88)90123-5.

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36

Testa, Massimo. "Chiral gauge theories on the lattice". Nuclear Physics B - Proceedings Supplements 17 (settembre 1990): 467–69. http://dx.doi.org/10.1016/0920-5632(90)90294-5.

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37

Petronzio, Roberto, e Ettore Vicari. "Overrelaxed operators in lattice gauge theories". Physics Letters B 245, n. 3-4 (agosto 1990): 581–84. http://dx.doi.org/10.1016/0370-2693(90)90694-2.

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38

Montvay, I. "Supersymmetric gauge theories on the lattice". Nuclear Physics B - Proceedings Supplements 53, n. 1-3 (febbraio 1997): 853–55. http://dx.doi.org/10.1016/s0920-5632(96)00801-8.

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39

Eleutério, S. M., e R. Vilela Mendes. "Stochastic models for lattice gauge theories". Zeitschrift für Physik C Particles and Fields 34, n. 4 (dicembre 1987): 451–63. http://dx.doi.org/10.1007/bf01679864.

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40

Colangelo, P., e E. Scrimieri. "Gauge theories on a pseudorandom lattice". Physical Review D 35, n. 10 (15 maggio 1987): 3193–97. http://dx.doi.org/10.1103/physrevd.35.3193.

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41

Gambini, Rodolfo, Lorenzo Leal e Antoni Trias. "Loop calculus for lattice gauge theories". Physical Review D 39, n. 10 (15 maggio 1989): 3127–35. http://dx.doi.org/10.1103/physrevd.39.3127.

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42

Eichten, Estia, e John Preskill. "Chiral gauge theories on the lattice". Nuclear Physics B 268, n. 1 (aprile 1986): 179–208. http://dx.doi.org/10.1016/0550-3213(86)90207-5.

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43

Witten, Edward. "Gauge theories and integrable lattice models". Nuclear Physics B 322, n. 3 (agosto 1989): 629–97. http://dx.doi.org/10.1016/0550-3213(89)90232-0.

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44

Narayanan, R., e H. Neuberger. "Progress in lattice chiral gauge theories". Nuclear Physics B - Proceedings Supplements 47, n. 1-3 (marzo 1996): 591–95. http://dx.doi.org/10.1016/0920-5632(96)00128-4.

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45

Martin, Olivier, K. J. M. Moriarty e Stuart Samuel. "Computer techniques for lattice gauge theories". Computer Physics Communications 40, n. 2-3 (giugno 1986): 173–79. http://dx.doi.org/10.1016/0010-4655(86)90106-2.

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46

MCKELLAR, BRUCE H. J., CONRAD R. LEONARD e LLOYD C. L. HOLLENBERG. "COUPLED CLUSTER METHODS FOR LATTICE GAUGE THEORIES". International Journal of Modern Physics B 14, n. 19n20 (10 agosto 2000): 2023–37. http://dx.doi.org/10.1142/s0217979200001151.

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47

BOCK, WOLFGANG. "CHIRAL GAUGE THEORIES ON THE LATTICE WITHOUT GAUGE FIXING?" International Journal of Modern Physics C 05, n. 02 (aprile 1994): 327–29. http://dx.doi.org/10.1142/s0129183194000416.

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We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking is not too severe this procedure could lead in the continuum limit to the desired chiral gauge theory.

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48

Oliveira, O., e P. J. Silva. "Gribov copies and gauge fixing in lattice gauge theories". Nuclear Physics B - Proceedings Supplements 106-107 (marzo 2002): 1088–90. http://dx.doi.org/10.1016/s0920-5632(01)01937-5.

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49

Petronzio, Roberto. "Gauge spins for the renormalisation of lattice gauge theories". Physics Letters B 224, n. 3 (giugno 1989): 329–32. http://dx.doi.org/10.1016/0370-2693(89)91240-9.

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50

Lautrup, B., M. J. Lavelle, M. P. Tuite e A. Vladikas. "Stochastic quantisation and gauge fixing in lattice gauge theories". Nuclear Physics B 290 (gennaio 1987): 188–204. http://dx.doi.org/10.1016/0550-3213(87)90184-2.

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