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We propose a construction of a 2-dimensional lattice chiral gauge theory. The construction may be viewed as a particular limit of an infinite warped 3-dimensional theory. We also present a "single-site'' construction using Ginsparg-Wilson…

高能物理 - 格点 · 物理学 2007-05-23 Tanmoy Bhattacharya , Matthew R. Martin , Erich Poppitz

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

高能物理 - 格点 · 物理学 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied for four-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. The covariant gauge fixing term and the Faddeev-Popov…

高能物理 - 格点 · 物理学 2007-05-23 Yoshio Kikukawa

The probability amplitude for tunneling between the Dirac vacua corresponding to different signs of a parity breaking fermionic mass $M$ in $2+1$ dimensions is studied, making contact with the continuum overlap formulation for chiral…

高能物理 - 理论 · 物理学 2009-10-30 C. D. Fosco

After mentioning some of the difficulties arising in lattice gauge theory from chiral symmetry, I discuss one of the recent attempts to resolve these issues using fermionic surface states in an extra space-time dimension. This picture can…

高能物理 - 格点 · 物理学 2007-05-23 Michael Creutz

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

高能物理 - 格点 · 物理学 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential $\mu$ for the fermionic charge, and monitor its evolution with real-time…

高能物理 - 理论 · 物理学 2020-06-30 Daniel G. Figueroa , Adrien Florio , Mikhail Shaposhnikov

We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of…

高能物理 - 格点 · 物理学 2009-10-28 Geoffrey T. Bodwin

We present a new staggered discretization of the Dirac operator. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. If coupled with gauge fields, an $(1+\gamma^5)$ chiral…

高能物理 - 格点 · 物理学 2009-12-09 I. Schmelzer

We present a study of the topological susceptibility $\chi$ on the lattice for full QCD with 2 and 4 flavours of staggered fermions at zero and finite temperature T. We find that $\chi$ presents a sharp drop across the deconfinement…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

A manifestly gauge invariant lattice action for nonanomalous chiral models is proposed which leads in the continuum limit to the theory free of doublers.

高能物理 - 格点 · 物理学 2009-10-22 A. A. Slavnov

We consider lattice gauge theories at strong coupling with gauge group $U(N_C)$, or $SU(N_C)$ restricted to the meson sector, and coupled to $N_F$ flavors of fundamental representation staggered fermions. We study the formation of a chiral…

高能物理 - 格点 · 物理学 2015-06-12 E. T. Tomboulis

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

Contents: 1. Introduction, 2. Chiral gauge theories & the gauge anomaly, 3. The regularization problem, 4. Weyl fermions from 4+1 dimensions, 5. The Ginsparg-Wilson relation, 6. Gauge-invariant lattice regularization of anomaly-free…

高能物理 - 理论 · 物理学 2017-08-23 Martin Lüscher

An approach to the formulation of chiral gauge theories on the lattice is to start with a vector-like theory, but decouple one chirality (the "mirror" fermions) using strong Yukawa interactions with a chirally coupled "Higgs" field. While…

高能物理 - 格点 · 物理学 2015-06-12 Chen Chen , Joel Giedt , Erich Poppitz

We study the expectation value of the phase of the fermion determinant for Wilson lattice fermions with chemical potential. We use quenched SU(3) ensembles and implement a recently proposed exact dimensional reduction of the fermion…

高能物理 - 格点 · 物理学 2009-11-23 Julia Danzer , Christof Gattringer , Ludovit Liptak , Marina Marinkovic

We consider large N gauge theory on a two dimensional lattice in the presence of a baryonic chemical potential. We work with one copy of naive fermion and argue that reduction holds even in the presence of a chemical potential. Analytical…

高能物理 - 格点 · 物理学 2009-11-18 Richard Galvez , Ari Hietanen , Rajamani Narayanan

Only requiring that Dirac operators decribing massless fermions on the lattice decompose into Weyl operators we arrive at a large class of them. After deriving general relations from spectral representations we study correlation functions…

高能物理 - 格点 · 物理学 2009-11-10 Werner Kerler

Studies of non-interacting lattice fermions give an estimate of the size of discretization errors and finite size effects for more interesting problems like finite temperature QCD. We present a calculation of the thermodynamic equation of…

高能物理 - 格点 · 物理学 2009-10-31 George T. Fleming

Standard lattice fermion algorithms run into the well-known sign problem at real chemical potential. In this paper we investigate the possibility of using imaginary chemical potential, and argue that it has advantages over other methods,…

高能物理 - 格点 · 物理学 2009-07-09 M. Alford , A. Kapustin , F. Wilczek