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Related papers: Chiral Phase Transition for SU(N) Gauge Theories

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We show that at sufficiently large chemical potential SU(N) lattice gauge theories in the strong coupling limit with staggered fermions are in a chirally symmetric phase. The proof employs a polymer cluster expansion which exploits the…

High Energy Physics - Lattice · Physics 2015-06-15 E. T. Tomboulis

The fermionic measure in the functional integral of a gauge theory suffers from an ambiguity in the form of a chiral phase. By fixing it, one is led once again to the conclusion that a chiral phase in the quark mass term of QCD has no…

High Energy Physics - Theory · Physics 2007-05-23 P. Mitra

The chiral phase transition at a certain critical temperature is a restoration mechanism of the chiral symmetry, broken by the nonzero mass of quarks and mesons. The transition can be studied through several models, among which are the…

High Energy Physics - Phenomenology · Physics 2008-02-20 F. A. Correa , J. Morales

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential $\mu$ and temperature $T$ and the results are compared to the predictions of Effective Lagrangians. Simulations on $16^4$ lattices indicate…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut , Dominique Toublan , D. K. Sinclair

We explore the phase structure of the Standard Model as the relative strengths of the SU(2) weak force and SU(3) strong force are varied. With a single generation of fermions, the structure of chiral symmetry breaking suggests that there is…

High Energy Physics - Theory · Physics 2019-11-13 Nakarin Lohitsiri , David Tong

We consider three-dimensional lattice SU(Nc) gauge theories with degenerate multicomponent (Nf>1) complex scalar fields that transform under the fundamental representation of the gauge SU(Nc) group and of the global U(Nf) invariance group,…

Statistical Mechanics · Physics 2022-01-26 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

We consider the dynamics of a strongly coupled SU(N) chiral gauge theory. By using its large-N equivalence with N=1 super-Yang-Mills theory we find the vacuum structure of the former. We also consider its finite-N dynamics.

High Energy Physics - Theory · Physics 2013-05-30 A. Armoni , M. Shifman

We investigate the physical spectrum of vector-like SU(N) gauge theories with infrared coupling close to but above the critical value for a conformal phase transition. We use dispersion relations, the momentum dependence of the dynamical…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Appelquist , F. Sannino

Holography has allowed the exact solution of a small number of large Nc gauge theories. Amongst these is an N=2 SYM theory of quarks interacting with N=4 gauge fields. The temperature chemical potential phase diagram for this theory in the…

High Energy Physics - Theory · Physics 2020-09-02 Nick Evans , M. J. Russell

Based on the analogy between the Nambu--Jona-Lasinio model of chiral symmetry breaking and the BCS theory of superconductivity, we investigate the effect of $\bar q q$ pair fluctuations on the chiral phase transition. We include uncondensed…

High Energy Physics - Phenomenology · Physics 2007-09-19 Lianyi He , Pengfei Zhuang

We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times…

High Energy Physics - Theory · Physics 2024-03-26 Kenichi Konishi , Stefano Bolognesi , Andrea Luzio

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

The SU(2) and SU(3) chiral phase transitions in a hot gas made of pions, kaons and etas are studied within the framework of Chiral Perturbation Theory. By using the meson meson scattering phase shifts in a second order virial expansion, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Pelaez

Chiral phase transition is investigated in an $SU(3)_L \times SU(3)_R$ symmetric vector meson extended linear sigma model with additional constituent quarks and Polyakov loops (extended Polyakov quark meson model). The parameterization of…

High Energy Physics - Phenomenology · Physics 2015-07-09 Péter Kovács , György Wolf

We explore the possible low energy phases of the confining non-supersymmetric $SU(5)$ chiral gauge theory with three generations of fermions in the $(10+\bar{5})$ representations. This theory has the same fermion and gauge matter content as…

High Energy Physics - Theory · Physics 2022-04-13 Yang Bai , Daniel Stolarski

We investigate the order of the finite temperature chiral symmetry restoration transition for QCD with two massless fermions, by using a novel method, based on simulating imaginary values of the quark chemical potential…

High Energy Physics - Lattice · Physics 2014-10-30 Claudio Bonati , Philippe de Forcrand , Massimo D'Elia , Owe Philipsen , Francesco Sanfilippo

The SU(2) gauge theory with 8 fundamental fermions is studied using unimproved staggered regularization. A phase transition or a crossover at strong coupling, which can be a bulk transition. By using chiral random matrix model we analyze…

High Energy Physics - Lattice · Physics 2019-12-04 Issaku Kanamori , C. -J. David Lin

We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(N_f)_L x U(N_f)_R chiral flavor symmetry at zero temperature. The theory involved is a 4+1…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Jacob Sonnenschein , Shimon Yankielowicz

For (3+1)-dimensional fermions, a net axial charge and external magnetic field can lead to a current parallel to the magnetic field. This is the chiral magnetic effect. We use gauge-gravity duality to study the chiral magnetic effect in…

High Energy Physics - Theory · Physics 2015-05-28 Carlos Hoyos , Tatsuma Nishioka , Andy O'Bannon

We report on Monte Carlo simulations focused on elucidating the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional…

High Energy Physics - Lattice · Physics 2012-11-16 Simon Catterall , Aarti Veernala