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Related papers: Fermion mass-function in thermal QED3

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The dynamics of {\it light} fermions propagating in a spatial direction at high temperatures can be described effectively by a two--dimensional Schr\"odinger equation with {\it heavy} effective mass $m_{\rm eff} = \pi T$. Starting from QED,…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Koch , E. V. Shuryak , G. E. Brown , A. D. Jackson

The Schwinger-Dyson equation of fermion self-energy in the linearization approximation is solved exactly in a theory with gauge and effective four-fermion interactions. Different expressions for the indepedent solutions which respectively…

High Energy Physics - Theory · Physics 2008-11-26 Bang-Rong Zhou

We solved with a numerical procedure the HTL improved ladder DS equation for the retarded fermion self-energy function $\Sigma_R$ to study the spontaneous generation of fermion mass in thermal QCD/QED, and studied the gauge-dependence of…

High Energy Physics - Phenomenology · Physics 2007-09-05 Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations,…

High Energy Physics - Theory · Physics 2009-10-31 David Nolland , Paul Mansfield

A recent study of dynamical chiral symmetry breaking in N-flavour QED$_3$ at finite temperature is extended to include the effect of fermion wavefunction renormalisation in the Schwinger-Dyson equations. The simple ``zero-frequency''…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. J. R. Aitchison , M. Klein-Kreisler

We show that the three-dimensional map between fermions and bosons at finite temperature generalises for all odd dimensions $d>3$. We further argue that such a map has a nontrivial large $d$ limit. Evidence comes from studying the gap…

High Energy Physics - Theory · Physics 2019-03-27 Evangelos G. Filothodoros , Anastasios C. Petkou , Nicholas D. Vlachos

Numerical study of the Schwinger-Dyson equation (SDE) for the fermion propagator (FP) to obtain dynamically generated chirally asymmetric solution in an arbitrary covariant gauge $\xi$ is a complicated exercise specially if one employs a…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bashir , A. Raya

We evaluate the fermionic determinant for massless QED_2 at finite temperature, in the imaginary time formalism. By using a decoupling transformation of the fermionic fields, we show that the determinant factorizes into the usual,…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco , R. E. Gamboa Saravi , F. A. Schaposnik

We consider the thermoelectric properties of the mixed-dimensional quantum electrodynamics of the relativistic Dirac fermion and Wilson-Fisher boson. These models are self-dual, and can form non-trivial many-body phases depending on the…

Strongly Correlated Electrons · Physics 2021-12-08 Wei-Han Hsiao

A serious problem with the Schwinger-Dyson approach to dynamical mass generation in QED3 at finite temperature is that the contribution from the transverse part of the photon propagator, in the Landau gauge, leads to infrared divergences in…

High Energy Physics - Theory · Physics 2007-05-23 D. J. Lee

We have proven the general relations between the gap equations obeyed by dynamical fermion mass and corresponding effective potentials at finite temperature and chemical potential in D dimensional four-fermion interaction models. This gives…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhou Bang-Rong

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. --I. Kondo , P. Maris

The conductivity of a finite temperature 1+1 dimensional fermion gas described by the massive Thirring model is shown to be related to the retarded propagator of the dual boson sine-Gordon model. Duality provides a natural resummation which…

High Energy Physics - Theory · Physics 2009-11-07 T. S. Evans , A. Gomez Nicola , R. J. Rivers , D. A. Steer

We perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The Fermi operators are explicitly constructed in terms of the vector potential and the electric field. We carefully specify…

High Energy Physics - Theory · Physics 2015-06-26 A. Kovner , P. S. Kurzepa

We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for…

High Energy Physics - Theory · Physics 2015-05-13 Ashok Das , J. Frenkel

We investigate how a dynamical mass of a fermion is affected by a topological mass of a gauge field in a Maxwell-Chern-Simons $QED_3$ coupled with a two-component fermion. The dynamical mass and also a parity condensate are estimated by…

High Energy Physics - Theory · Physics 2009-10-31 Toyoki Matsuyama , Hideko Nagahiro

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

The 2+1d Gross-Neveu model with finite density and finite temperature are studied by the staggered fermion discretization. The kinetic part of this staggered fermion in momentum space is used to build the relation between the staggered…

High Energy Physics - Lattice · Physics 2021-05-05 Daming Li

In 2+1 dimensions, QED becomes exactly solvable for all values of the fermion charge $e$ in the limit of many fermions $N_f\gg 1$. We present results for the free energy density at finite temperature $T$ to next-to-leading-order in large…

High Energy Physics - Theory · Physics 2019-10-30 Paul Romatschke , Matias Säppi

We characterize the high-temperature thermodynamics of rotating bosons and fermions in two- (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients…

Quantum Gases · Physics 2020-08-12 C. E. Berger , K. J. Morrell , J. E. Drut