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Two-dimensional QED with $N$ flavor fermions is solved at zero and finite temperature with arbitrary fermion masses to explore QCD physics such as chiral condensate and string tension. The problem is reduced to solving a Schr\"odinger…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hosotani , R. Rodriguez , J. E. Hetrick , S. Iso

We investigate the phase structure of Quantum Chromodynamics (QCD) in the vacuum as a function of quark flavor number $N_f$ within the chiral limit. By self-consistently solving the coupled DSEs for the quark and gluon propagators in a…

High Energy Physics - Phenomenology · Physics 2026-02-19 Yi-huai Chen , Yi Lu , Zhi-wei Wang , Yu-xin Liu , Fei Gao

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m)…

High Energy Physics - Theory · Physics 2009-10-28 J. E. Hetrick , Y. Hosotani , S. Iso

We evaluate the Polyakov loop and string tension at zero and finite temperature in $QED_2.$ Using bozonization the problem is reduced to solving the Schr\"odinger equation with a particular potential determined by the ground state. In the…

High Energy Physics - Theory · Physics 2007-05-23 R. Rodriguez , Y. Hosotani , J. E. Hetrick , S. Iso

We evaluate Polyakov loops and string tension in two-dimensional QED with both massless and massive $N$-flavor fermions at zero and finite temperature. External charges, or external electric fields, induce phases in fermion masses and shift…

High Energy Physics - Theory · Physics 2009-10-30 Ramon Rodriguez , Yutaka Hosotani

We determine the chiral phase structure of $2+1$-flavour QCD in dependence of temperature and the light flavour quark mass with Dyson-Schwinger equations. Specifically, we compute the renormalised chiral condensate and its susceptibility.…

High Energy Physics - Phenomenology · Physics 2022-06-01 Fei Gao , Jan M. Pawlowski

The catalysis of chiral symmetry breaking by a magnetic field in the massless weak-coupling phase of QED is studied. The dynamical mass of a fermion (energy gap in the fermion spectrum) is shown to depend essentially nonanalytically on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Valery P. Gusynin

Non-compact QED(3) with four-component fermion flavor content larger than or equal to two is studied numerically near the chiral limit to understand its chiral symmetry breaking features. We monitor discretization and finite size effects on…

High Energy Physics - Lattice · Physics 2009-11-07 S. J. Hands , J. B. Kogut , L. Scorzato , C. G. Strouthos

A first study of critical behavior in the vicinity of the chiral phase transition of (2+1)-flavor QCD is presented. We analyze the quark mass and volume dependence of the chiral condensate and chiral susceptibilities in QCD with two…

High Energy Physics - Lattice · Physics 2014-11-20 S. Ejiri , F. Karsch , E. Laermann , C. Miao , S. Mukherjee , P. Petreczky , C. Schmidt , W. Soeldner , W. Unger

We present numerical results for non-compact three-dimensional QED for numbers of flavors N_f=1 and N_f=4.In particular, we address the issue of whether chiral symmetry is spontaneously broken in the continuum limit, and obtain a positive…

High Energy Physics - Lattice · Physics 2009-11-10 S. J. Hands , J. B. Kogut , L. Scorzato , C. G. Strouthos

The chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac operator shows a strong dependence on the chemical potential. The…

High Energy Physics - Theory · Physics 2009-02-23 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We evaluate the chiral condensate and Polyakov loop in two-dimensional QED with a fermion of an arbitrary mass ($m$). We find discontinuous $m$ dependence in the chiral condensate and anomalous temperature dependence in Polyakov loops when…

High Energy Physics - Theory · Physics 2009-10-30 Yutaka Hosotani , Ramon Rodriguez

Based on the feature of chiral susceptibility and thermal susceptibility at finite temperature, the nature of chiral phase transition around the critical number of fermion flavors ($N_c$) and the critical temperature ($T_c$) at a fixed…

High Energy Physics - Phenomenology · Physics 2015-06-22 Hong-tao Feng , Jian-Feng Li , Yuan-mei Shi , Hong-shi Zong

We study the quark mass dependence of various response functions, which contribute to chiral susceptibilities and the specific heat in the staggered fermion formulation of two-flavour QCD. This yields information about the critical…

High Energy Physics - Lattice · Physics 2009-10-22 Frithjof Karsch , Edwin Laermann

We demonstrate that in unquenched quantum electrodynamics (QED), chiral symmetry breaking ceases to exist above a critical number of fermion flavours $N_f$. This is a necessary and sufficient consequence of the fact that there exists a…

High Energy Physics - Phenomenology · Physics 2011-02-21 A. Bashir , C. Calcaneo-Roldan , L. X. Gutiérrez-Guerrero , M. E. Tejeda-Yeomans

We present the renormalized Taylor expansion of the chiral condensate with chemical potential. The relation with the Taylor coefficients of meson susceptibilities and the quark mass dependence of the quark number susceptibilities are…

High Energy Physics - Lattice · Physics 2008-11-26 Sourendu Gupta , R. Ray

We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of…

High Energy Physics - Lattice · Physics 2010-12-13 Christian Schmidt , Swagato Mukherjee

We present results on the chiral and deconfinement properties of the QCD transition at finite temperature. Calculations are performed with 2+1 flavors of quarks using the p4, asqtad and HISQ/tree actions. Lattices with temporal extent…

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field at finite temperature is studied. The temperature of the symmetry restoration is estimated analytically as $T_c\simeq m_{dyn}$, where $m_{dyn}$…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. P. Gusynin , I. A. Shovkovy

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner
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