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We study the effective Hamiltonian for strong-coupling lattice QCD in the case of non-zero baryon density. In leading order the effective Hamiltonian is a generalized antiferromagnet. For naive fermions, the symmetry is U(4N_f) and the…

高能物理 - 格点 · 物理学 2009-11-07 Barak Bringoltz , Benjamin Svetitsky

Using lattice QCD we study the spectrum of low-lying fermion eigenmodes. According to the Banks-Casher relation, accumulation of the low-mode is responsible for the spontaneous breaking of chiral symmetry in the QCD vacuum. On the lattice…

高能物理 - 唯象学 · 物理学 2014-11-20 Shoji Hashimoto

The symmetry breaking pattern of QCD features two seemingly disconnected phenomena: the spontaneous breakdown of the Z(3) center symmetry in the deconfinement transition of pure-gauge QCD, and the spontaneous breaking of chiral…

高能物理 - 唯象学 · 物理学 2014-11-20 Wolfram Weise

We discuss the origin of chiral symmetry breaking in the light-cone representation of QCD. In particular, we show how quark helicity symmetry is spontaneously broken in SU(N) gauge theory with massless quarks if that theory has a condensate…

高能物理 - 唯象学 · 物理学 2015-06-25 S. Dalley , G. McCartor

We report on a non-perturbative study of two dimensional $\cN=(2,2)$ super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains $N_f$ fermions in the fundamental representation of a…

高能物理 - 格点 · 物理学 2015-09-11 Simon Catterall , Aarti Veernala

We have calculated the ground state wave functions for a systems of multicomponent interacting fermions. We show that it describes the state with spontaneously broken chiral symmetry. In the limit of an infinitely strong interaction it…

强关联电子 · 物理学 2007-05-23 V. V. Afonin , V. L. Gurevich , V. Yu. Petrov

We study the structure of QCD at very large baryon density for an arbitrary number of flavors $N_f$. We provide evidence that for any number of flavors larger than $N_f=2$ chiral symmetry remains broken at asymptotically large chemical…

高能物理 - 唯象学 · 物理学 2009-10-31 Thomas Schaefer

We revisit the strong coupling limit of the Schwinger model on the lattice using staggered fermions and the hamiltonian approach to lattice gauge theories. Although staggered fermions have no continuous chiral symmetry, they posses a…

高能物理 - 格点 · 物理学 2016-08-25 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

We propose a novel lattice calculation of spontaneous chiral symmetry breaking in QED model with 2+1 dimensional fermion brane. Considering the relativistic action with gauge symmetry we rigorously carry out path integral in Monte-Carlo…

高能物理 - 格点 · 物理学 2012-11-29 Eigo Shintani , Tetsuya Onogi

We present a new picture of global symmetry breaking in quantum field theory and propose a novel realization of symmetry breaking phenomena in terms of the conserved charge associated with its symmetry. In particular, the fermion condensate…

高能物理 - 理论 · 物理学 2007-05-23 T. Fujita , M. Hiramoto , T. Homma , M. Matsumoto , H. Takahashi

We investigate the strong coupling limit of lattice QCD in the Hamiltonian formulation for systems with non-zero baryon density. In leading order the Hamiltonian looks like an antiferromagnet that is invariant under global U(N_f)xU(N_f) and…

高能物理 - 格点 · 物理学 2007-05-23 Barak Bringoltz

We propose a new method for the study of the chiral properties of the ground state in QFT's based on the computation of the probability distribution function of the chiral condensate. It can be applied directly in the chiral limit and…

高能物理 - 理论 · 物理学 2009-10-28 Vicente Azcoiti , Victor Laliena , Xiang-Qian Luo

One of the most challenging issues in QCD is the investigation of spontaneous chiral-symmetry breaking, which is characterized by the non-vanishing chiral condensate when the bare fermion mass is zero. In standard methods, one has to…

高能物理 - 格点 · 物理学 2007-05-23 Xiang-Qian Luo

A distinctive feature of the presence of spontaneous chiral symmetry breaking in QCD is the condensation of low modes of the Dirac operator near the origin. The rate of condensation must be equal to the slope of (Mpi^2 Fpi^2)/2 with respect…

高能物理 - 唯象学 · 物理学 2015-03-25 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

统计力学 · 物理学 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

Spontaneous chiral symmetry breaking in QCD with massless quarks at infinite volume can be seen in a finite box by studying, for instance, the dependence of the chiral condensate from the volume and the quark mass. We perform a feasibility…

高能物理 - 格点 · 物理学 2010-10-27 Leonardo Giusti , Silvia Necco

The possibility of Lorentz symmetry breaking (LSB) has attracted considerable attention in recent years. Spontaneous LSB, in particular, offers the attractive prospect of the graviton as a Nambu-Golstone boson. Here we consider the question…

高能物理 - 理论 · 物理学 2015-03-19 E. T. Tomboulis

We propose a new method for the study of the chiral properties of the ground state in Quantum Field Theories (QFT's) which is based on the computation of the probability distribution function (p.d.f.) of the chiral condensate in the chiral…

高能物理 - 格点 · 物理学 2009-10-28 Vicente Azcoiti , Victor Laliena , Xiang-Qian Luo

In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry…

高能物理 - 格点 · 物理学 2008-11-26 Biagio Lucini , Agostino Patella , Claudio Pica

An alternative pattern of the chiral symmetry breaking, suggested recently by Stern, is investigated. It could be self-consistent provided that the chiral $SU(N_f) \times SU(N_f)$ symmetry is broken spontaneously down to $SU(N_f) \times…

高能物理 - 唯象学 · 物理学 2016-08-25 Ian I. Kogan , Alex Kovner , M. A. Shifman
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