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In this work we discuss the phase structure of a deformed supersymmetric nonlinear sigma model in a three-dimensional space-time. The deformation is introduced by a term that breaks supersymmetry explicitly, through imposing a slightly…

高能物理 - 理论 · 物理学 2013-10-24 A. C. Lehum , A. J. da Silva

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 investigate the fate of the non-supersymmetric Gross-Neveu-Yukawa fixed point found by Fei et al in $4-\epsilon$ dimensions with a two-component Majorana fermion continued to two dimensions. Assuming that it is a fermionic minimal model…

高能物理 - 理论 · 物理学 2023-04-19 Yu Nakayama , Ken Kikuchi

We study the phase structure of five-dimensional Yang-Mills theories coupled to Dirac fermions. In order to tackle their non-perturbative character, we derive the flow equations for the gauge coupling and the effective potential for the…

高能物理 - 理论 · 物理学 2024-05-09 Álvaro Pastor-Gutiérrez , Masatoshi Yamada

Dynamical spontaneous breaking of some discrete symmetries including special parities and time reversal and their restoration at finite temperature T are researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the…

高能物理 - 理论 · 物理学 2009-10-31 Bang-Rong Zhou

We present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N_f=4 fermion species at non-zero temperature. We provide evidence that there are two different chirally symmetric…

高能物理 - 格点 · 物理学 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos

We study the $2d$ chiral Gross-Neveu model at finite temperature $T$ and chemical potential $\mu$. The analysis is performed by relating the theory to a $SU(N)\times U(1)$ Wess-Zumino-Witten model with appropriate levels and global…

高能物理 - 理论 · 物理学 2024-01-25 Riccardo Ciccone , Lorenzo Di Pietro , Marco Serone

We investigate a class of four-fermion theories which includes well-known models like the Gross-Neveu model and the Thirring model. In three spacetime dimensions, they are used to model interesting solid state systems like high temperature…

高能物理 - 格点 · 物理学 2016-11-02 Daniel Schmidt , Björn Wellegehausen , Andreas Wipf

The vacuum structure of QCD with two degenerated flavours of Wilson fermions is discussed by means of the p.d.f. (probability distribution function) formalism. Under certain assumptions, either new phases related to Aoki's appear,…

高能物理 - 格点 · 物理学 2010-11-05 V. Azcoiti , G. Di Carlo , E. Follana , A. Vaquero

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase…

高能物理 - 理论 · 物理学 2019-10-02 Riccardo Argurio , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by…

高能物理 - 理论 · 物理学 2008-11-26 Oliver Schnetz , Michael Thies , Konrad Urlichs

We discuss the chiral phase diagram in the parameter space of lattice QCD with minimal-doubling fermions, which can be seen as lattice fermions with flavored chemical potential terms. We study strong-coupling lattice QCD with the…

高能物理 - 格点 · 物理学 2012-08-14 Tatsuhiro Misumi

We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the…

高能物理 - 理论 · 物理学 2015-06-18 Anson Hook , Shamit Kachru , Gonzalo Torroba , Huajia Wang

In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion…

高能物理 - 理论 · 物理学 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

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 study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems…

高能物理 - 理论 · 物理学 2009-10-28 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

We present a numerical analysis of spin-$\frac{1}{2}$ fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic…

Recently the revised phase diagram of the (large N) Gross-Neveu model in 1+1 dimensions with discrete chiral symmetry has been determined numerically. It features three phases, a massless and a massive Fermi gas and a kink-antikink crystal.…

高能物理 - 理论 · 物理学 2009-11-10 Oliver Schnetz , Michael Thies , Konrad Urlichs

We propose a minimal theoretical model for the description of a two-dimensional (2D) strongly interacting Fermi gas confined transversely in a tight harmonic potential, and present accurate predictions for its equation of state and…

量子气体 · 物理学 2020-04-22 Fan Wu , Jianshen Hu , Lianyi He , Xia-Ji Liu , Hui Hu

We consider the Gross-Neveu model with a continuous chiral symmetry in two and three spacetime dimensions at zero and finite temperature. In order to study long-range phase coherence, we construct an effective low-energy Lagrangian for the…

高能物理 - 理论 · 物理学 2007-05-23 Jens O. Andersen