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相关论文: Lattice Gross-Neveu model with domain-wall fermion…

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We investigate the two dimensional lattice Gross--Neveu model in large flavor number limit using the domain-wall fermion formulation, as a toy model of lattice QCD. We study nonperturbative behaviorn of the restoration of chiral symmetry of…

高能物理 - 格点 · 物理学 2009-10-31 Taku Izubuchi , Kei-ichi Nagai

We investigate the parity-broken phase (Aoki phase) for staggered-Wilson fermions by using the Gross-Neveu model and the strong-coupling lattice QCD. In the both cases the gap equations indicate the parity-broken phase exists and the pion…

高能物理 - 格点 · 物理学 2012-01-30 Tatsuhiro Misumi , Michael Creutz , Taro Kimura , Takashi Z. Nakano , Akira Ohnishi

We investigate the parity-broken phase structure for staggered and naive fermions in the Gross-Neveu model as a toy model of QCD. We consider a generalized staggered Gross-Neveu model including two types of four-point interactions. We use…

高能物理 - 格点 · 物理学 2011-05-24 Michael Creutz , Taro Kimura , Tatsuhiro Misumi

We investigate the phase structure of the two-dimensional lattice Gross-Neveu model formulated with the Wilson fermion action to leading order of 1/N expansion. Structural change of the parity-broken phase under the influence of finite…

高能物理 - 格点 · 物理学 2016-08-25 Taku Izubuchi , Junichi Noaki , Akira Ukawa

We formulate new two dimensional fermions breaking $\gamma_{5}$hermiticity, based on the minimal doubling fermion. We investigate their properties: (I) Symmetries, (II) eigenvalue distributions, and (III)the number of poles. As a simple…

高能物理 - 格点 · 物理学 2014-06-27 Syo Kamata , Hidekazu Tanaka

We construct 2D non-$\gamma_{5}$hermiticity fermions based on the minimal doubling fermion. We investigate symmetries, reflection positivity, eigenvalue distribution and the number of poles for our fermions. As simple tests for application…

高能物理 - 格点 · 物理学 2014-03-03 Syo Kamata , Hidekazu Tanaka

We study the chiral properties and the validity of perturbation theory for domain wall fermions in quenched lattice QCD at beta=6.0. The explicit chiral symmetry breaking term in the axial Ward-Takahashi identity is found to be very small…

高能物理 - 格点 · 物理学 2009-10-31 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

The nature of the phase transition in the lattice Gross-Neveu model with Wilson fermions is investigated using a new analytical technique. This involves a new type of weak coupling expansion which focuses on the partition function zeroes of…

高能物理 - 格点 · 物理学 2009-11-07 R. Kenna , J. C. Sexton

Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless…

高能物理 - 格点 · 物理学 2009-10-30 T. Reisz

We explore the phase structure of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors using lattice field theory. Besides a chirally symmetric phase and a homogeneously broken phase we find evidence for the existence…

高能物理 - 格点 · 物理学 2022-09-21 Laurin Pannullo , Julian Lenz , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We analytically investigate the 2-dimensional Gross-Neveu model at finite temperature and density using Wilson fermion action. The relation between the phase structure on the lattice and that in the continuum is clarified.

高能物理 - 格点 · 物理学 2009-10-31 T. Izubuchi , J. Noaki , A. Ukawa

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

高能物理 - 格点 · 物理学 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We study the quenched lattice QCD using domain-wall fermions at $\beta=6.0$. Behaviors of both pion mass and the explicit breaking term in the axial Ward-Takahashi identity support the existence of the chiral zero modes. We observe a good…

高能物理 - 格点 · 物理学 2015-06-25 S. Aoki , T. Izubuchi , Y. Kuramashi , Y. Taniguchi

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an…

高能物理 - 格点 · 物理学 2009-10-30 Pavlos M. Vranas

Gross-Neveu model in 2+1 dimensions exhibits a continuous transition from gapless Dirac semimetal to the gapped quantum anomalous Hall (QAH) insulator at a finite (attractive) coupling, at which the inversion and time-reversal symmetry…

强关联电子 · 物理学 2025-12-08 Gabriel Osiander Rein , Fakher F. Assaad , Igor F. Herbut

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an…

高能物理 - 格点 · 物理学 2009-10-30 Pavlos M. Vranas

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

高能物理 - 格点 · 物理学 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We investigate the chiral phase structure of the Gross-Neveu model on a 2-D lattice using the Borici-Creutz fermion action. We present a strong coupling analysis of the Gross-Neveu model and perform a hybrid Monte Carlo simulation of the…

高能物理 - 格点 · 物理学 2015-06-23 J. Goswami , D. Chakrabarti , S. Basak

We present results from simulations of two flavor QCD thermodynamics at N_t=4 with domain wall fermions. In contrast to other lattice fermion formulations, domain wall fermions preserve the full chiral symmetry of the continuum at finite…

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

This work is concerned with the phase diagram of Wilson fermions in the mass and coupling constant plane for two-flavor (unquenched) QCD. We show that as the continuum limit is approached, one can study the lattice theory using the…

高能物理 - 格点 · 物理学 2012-08-27 Stephen Sharpe , Robert Singleton,
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