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The Bethe-Salpeter equation restores exact elastic unitarity in the $s-$ channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken in the two particle irreducible amplitude…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Nieves , E. Ruiz Arriola

The non-perturbative Schwinger-Dyson equation is used to show that chiral symmetry is dynamically broken in QED at weak gauge couplings when an external uniform magnetic field is present. A complete analysis of this phenomenon may shed…

High Energy Physics - Theory · Physics 2007-05-23 Y. Jack Ng

In the framework of Coulomb Gauge QCD we explore dynamical breaking of chiral symmetry and screening of the confinement potential at finite density. The screened potential is applied in study of charmonium dissociation.

High Energy Physics - Phenomenology · Physics 2010-04-23 Peng Guo , Adam P. Szczepaniak

We show how the functional renormalization group can be applied to a study of chiral symmetry breaking in QCD. We discuss the running gauge coupling at finite temperature for QCD. For scales smaller than the corresponding temperature, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens Braun

We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we briefly review the basic notions and formulation, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ken-Ichi Aoki

In this paper we study the breaking of chiral symmetry with non-confining power-like potentials. The region of allowed exponents is identified and, after the previous study of confining (positive exponent) potentials, we now specialize in…

High Energy Physics - Phenomenology · Physics 2009-07-30 P. Bicudo

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman , R. F. Wagenbrunn

We study the full infrared dynamics of 2+1 flavour QCD with the functional renormalisation group approach. We resolve self-consistently the glue dynamics as well as the dynamics of chiral symmetry breaking. The computation hosts no…

High Energy Physics - Phenomenology · Physics 2025-02-21 Wei-jie Fu , Chuang Huang , Jan M. Pawlowski , Yang-yang Tan , Li-jun Zhou

We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

The solution of the axial U(1) problem, the role of the topology of the gauge group in forcing the breaking of axial symmetry in any irreducible representation of the observable algebra and the theta vacua structure are revisited in the…

High Energy Physics - Theory · Physics 2009-09-28 G. Morchio , F. Strocchi

The Bethe-Salpeter equation restores exact elastic unitarity in the s- channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the…

Nuclear Theory · Physics 2009-10-31 Juan Nieves , Enrique Ruiz Arriola

Solutions of the superspace Schwinger-Dyson equations, describing mass generation and chiral symmetry breaking in supersymmetric gauge theory, need not be constrained to vanish by no-renormalization theorems, nor by special choices of gauge…

High Energy Physics - Theory · Physics 2007-05-23 Andras Kaiser , Stephen B. Selipsky

The Bethe-Salpeter equation is related to a generalized quantum-mechanical Hamiltonian. Instability of the presumed vacuum, indicated by a tachyon, is related to a negative energy eigenstate of this Hamiltonian. The variational method shows…

High Energy Physics - Theory · Physics 2008-11-26 Bithika Jain , Indrajit Mitra , H. S. Sharatchandra

We project onto the light-front the pion's Poincare'-covariant Bethe-Salpeter wave-function, obtained using two different approximations to the kernels of QCD's Dyson-Schwinger equations. At an hadronic scale both computed results are…

Nuclear Theory · Physics 2015-06-12 Lei Chang , I. C. Cloet , J. J. Cobos-Martinez , C. D. Roberts , S. M. Schmidt , P. C. Tandy

Pion valence, glue and sea distributions are calculated using a continuum approach to the two valence-body bound-state problem. Since the framework is symmetry preserving, physical features of the distributions are properly expressed. The…

Nuclear Theory · Physics 2020-03-18 Minghui Ding , Khepani Raya , Daniele Binosi , Lei Chang , C. D. Roberts , S. M. Schmidt

We give a general description of gauge symmetry breaking using vertical and remainder fluxes in 4D F-theory models. The fluxes can break a geometric gauge group to a smaller group and induce chiral matter, even when the larger group admits…

High Energy Physics - Theory · Physics 2022-11-21 Shing Yan Li , Washington Taylor

We study in detail the effect of the finite current quark mass on chiral symmetry breaking, in the framework of truncated Coulomb gauge QCD with a linear confining quark-antiquark potential. In the chiral limit of massless current quarks,…

High Energy Physics - Phenomenology · Physics 2015-05-19 P. Bicudo

I propose a controlled approximation to QCD-like theories with massless quarks by employing supersymmetric QCD perturbed by anomaly-mediated supersymmetry breaking. They have identical massless particle contents. Thanks to the…

High Energy Physics - Theory · Physics 2021-06-30 Hitoshi Murayama

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards…

High Energy Physics - Phenomenology · Physics 2015-04-01 Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We study the consistency of the non-Abelian Coulomb gauge. There are energy divergences in individual diagrams, which are known to cancel at 2-loop order when suitable sets of diagrams are summed. We investigate to 3-loop order the…

High Energy Physics - Theory · Physics 2019-01-07 A Andrasi , J C Taylor