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The Thirring model is an interacting fermion theory with current-current interaction. The model in $1+2$ dimensions has applications in condensed-matter physics to describe the electronic excitations of Dirac materials. Earlier…

High Energy Physics - Lattice · Physics 2019-09-11 Julian Lenz , Björn Wellegehausen , Andreas Wipf

We study the light-front Schwinger model at finite temperature following the recent proposal in \cite{alves}. We show that the calculations are carried out efficiently by working with the full propagator for the fermion, which also avoids…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Xingxiang Zhou

The linear-$\sigma$ model has been widely used to describe the chiral phase transition. Numerically, the critical temperature $T_{c}$ of the chiral phase transition is in agreement with other effective theories of QCD. However, in the…

High Energy Physics - Phenomenology · Physics 2011-10-24 Achim Heinz

We introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving…

High Energy Physics - Theory · Physics 2011-07-19 M. De Francia , H. Falomir , M. Loewe

By using the lattice Monte-Carlo simulation, we investigate the finite temperature (T) chiral phase transition at color SU(3) gauge theories with various species of fundamental fermions, and discuss the signal of the (pre-)conformality at…

High Energy Physics - Lattice · Physics 2015-06-11 Kohtaroh Miura

We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice…

High Energy Physics - Lattice · Physics 2011-11-07 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

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…

High Energy Physics - Lattice · Physics 2016-11-02 Daniel Schmidt , Björn Wellegehausen , Andreas Wipf

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…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

QED with N species of massive fermions on a circle of circumference L is analyzed by bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and one gauge field zero modes on the circle, with nontrivial…

High Energy Physics - Theory · Physics 2016-09-06 J. E. Hetrick , Y. Hosotani , S. Iso

The multi-flavor Schwinger model on $R^1$ at finite temperature $T$ is mathematically equivalent to the model on $S^1$ at $T=0$. The latter is reduced to a quantum mechanical system of $N-1$ degrees of freedom. Physics sensitively depends…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Hosotani

We extend our earlier results concerning the breaking of the U_A(1) symmetry in finite temperature QCD. In particular, we use topological arguments to investigate the chiral limit.

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , J. F. Lagae , D. K. Sinclair

In this work we investigate the finite-size effects on the phase structure of a two-flavor four-fermion interaction model with a flavor-mixing four-body interaction and in the presence of a magnetic background, taking into account different…

High Energy Physics - Phenomenology · Physics 2021-03-11 L. M. Abreu , E. B. S. Corrêa , E. S. Nery

The chiral phase transition is investigated within the framework of the linear sigma model at finite temperature. We concentrate on the meson sector of the model and calculate the finite temperature effective potential in the Hartree…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicholas Petropoulos

We study rotating fermionic matter at finite temperature in the framework of the Nambu-Jona-Lasinio model. In order to respect causality the rigidly rotating system must be bound by a cylindrical boundary with appropriate boundary…

High Energy Physics - Theory · Physics 2017-03-08 M. N. Chernodub , Shinya Gongyo

Starting from a NJL-type model with N fermion species fermion and difermion condensates and their associated phase structures are considered at nonzero chemical potential $\mu$ and zero temperature in spaces with nontrivial topology of the…

High Energy Physics - Phenomenology · Physics 2014-11-21 D. Ebert , K. G. Klimenko

We investigate multi-flavour gauge theories confined in $d\es 2n$-dimensional Euclidean bags. The boundary conditions for the 'quarks' break the axial flavour symmetry and depend on a parameter $\theta$. We determine the $\theta$-dependence…

High Energy Physics - Theory · Physics 2009-10-28 A. Wipf , S. Duerr

The critical temperature is computed for N_f = 2 dynamical flavors of nonperturbatively improved Wilson fermions. The new simulations are performed on lattices 40^3 x 14 with lattice spacing and pion mass about 0.08 fm and 200 MeV,…

High Energy Physics - Lattice · Physics 2011-02-23 V. G. Bornyakov , R. Horsley , Y. Nakamura , M. I. Polikarpov , P. Rakow , G. Schierholz

Feynman's functional formulation of statistical mechanics is used to study the renormalizability of the well known Linear Chiral Sigma Model in the presence of fermionic fields at finite temperature in an alternative way. It is shown that…

High Energy Physics - Theory · Physics 2009-11-07 H. C. de Godoy Caldas , M. C. Nemes

Based on an analytical technique using a unitary transformation and the variational method, we study the chiral order parameter in the Schwinger model in the lattice formalism with Kogut-Susskind fermions. The fermion condensate $\langle…

High Energy Physics - Lattice · Physics 2016-09-01 Jen-Fa Min , Huei-Shih Liao