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Gross-Neveu type models with a finite number of fermion flavours are studied on a two-dimensional Euclidean space-time lattice. The models are asymptotically free and are invariant under a chiral symmetry. These similarities to QCD make…

高能物理 - 格点 · 物理学 2011-11-10 Bjorn Leder

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

高能物理 - 唯象学 · 物理学 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

The dymamical chiral symmetry breaking in higher- derivative quantum gravity has been investigated on the flat background. The Schwinger- Dyson equations numerical solutions have been found in the ladder approximation. Both two- and four-…

高能物理 - 理论 · 物理学 2007-05-23 Y. I. Shil'nov , V. V. Chitov , A. T. Kotwicki

We explore the conditions for chiral symmetry breaking in reduced (or pseudo) quantum electrodynamics at finite temperature in connection with graphene and other 2D-materials with an underlying Dirac behavior of the charge carriers. By…

高能物理 - 理论 · 物理学 2020-09-30 Jean Báez , Alfredo Raya , J. C. Rojas

The Wegner-Houghton formulation of the exact renormalization group evolution equation is used in order to study the chiral symmetry breaking of the linear sigma model coupled to an isospin doublet of quarks. A numerical investigation for a…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Bonanno , D. Zappala'

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

高能物理 - 唯象学 · 物理学 2016-09-01 K. --I. Kondo , P. Maris

The Schwinger-Dyson equations in the ladder approximation for $2D$ induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry…

高能物理 - 理论 · 物理学 2009-09-25 E. Elizalde , S. D. Odintsov , A. Romeo , Yu. I. Shil'nov

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a…

高能物理 - 理论 · 物理学 2013-08-28 Alessandro Codello , Roberto Percacci , Christoph Rahmede

We consider the perturbative renormalization of the Schwinger-Dyson functional, which is the generating functional of the expectation values of the products of the composite operator given by the field derivative of the action. It is argued…

高能物理 - 理论 · 物理学 2021-02-24 Enore Guadagnini , Vittoria Urso

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible…

高能物理 - 理论 · 物理学 2010-02-04 Holger Gies , Lukas Janssen , Stefan Rechenberger , Michael M. Scherer

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical…

高能物理 - 唯象学 · 物理学 2007-05-23 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The order parameters of dynamical chiral symmetry breaking in QCD, the dynamical mass of quarks and the chiral condensates, are evaluated by numerically solving the Non-Perturbative Renormalization Group (NPRG) equations. We employ an…

高能物理 - 理论 · 物理学 2009-10-31 Ken-Ichi Aoki , Kaoru Takagi , Haruhiko Terao , Masashi Tomoyose

Chiral symmetry at finite temperature is studied using the Schwinger-Dyson equation. We calculate numerically the critical temperature using the Schwinger-Dyson equation with the gauge parameter that depends on an external momentum. The…

高能物理 - 唯象学 · 物理学 2015-03-17 Shuji Sasagawa , Hidekazu Tanaka

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…

高能物理 - 理论 · 物理学 2007-05-23 Y. Jack Ng

We apply the functional renormalization-group (FRG) equation to analyze the nature of the QCD critical point beyond the mean-field approximation by taking into consideration the fact that the soft mode associated with the QCD critical point…

高能物理 - 唯象学 · 物理学 2014-01-29 K. Kamikado , T. Kunihiro , K. Morita , A. Ohnishi

We apply the functional renormalisation group to few-nucleon systems. Our starting point is a local effective action that includes three- and four-nucleon interactions, expressed in terms of nucleon and two-nucleon boson fields. The…

核理论 · 物理学 2015-03-20 Michael C. Birse , Boris Krippa , Niels R. Walet

We investigate dynamical chiral symmetry breaking in vector-like gauge theories in $D$ dimensions with ($D-4$) compactified extra dimensions, based on the gap equation (Schwinger-Dyson equation) and the effective potential for the bulk…

高能物理 - 唯象学 · 物理学 2009-11-07 V. Gusynin , M. Hashimoto , M. Tanabashi , K. Yamawaki

The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved…

高能物理 - 理论 · 物理学 2014-11-21 A. G. Dias , A. F. Ferrari

We analyze patterns of dynamical symmetry breaking in strongly coupled chiral gauge theories with direct-product gauge groups $G$. If the gauge coupling for a factor group $G_i \subset G$ becomes sufficiently strong, it can produce bilinear…

高能物理 - 理论 · 物理学 2016-10-04 Yan-Liang Shi , Robert Shrock

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…

高能物理 - 理论 · 物理学 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino