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This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's…

High Energy Physics - Theory · Physics 2009-10-28 James V. Steele , Ajay Subramanian , Ismail Zahed

At high temperature measurements of the Polyakov loop suggest a deconfinement transition to the (strongly interacting) quark-gluon plasma. At the same time at the infinitely large temperature the four-dimensional QCD is reduced to the…

High Energy Physics - Lattice · Physics 2015-08-13 L. Ya. Glozman

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

The temperature dependence of the order parameter of the Schwinger model is calculated in the euclidean functional integral approach. For that we solve the model on a finite torus and let the spatial extension tend to infinity at the end of…

High Energy Physics - Theory · Physics 2011-02-09 Ivo Sachs , Andreas Wipf

We show that matrix models in Chern-Simons theory admit an interpretation as 1D exactly solvable models, paralleling the relationship between the Gaussian matrix model and the Calogero model. We compute the corresponding Hamiltonians,…

High Energy Physics - Theory · Physics 2010-01-06 Miguel Tierz

The Schwinger model at finite temperature is analyzed using the Thermofield Dynamics formalism. The operator solution due to Lowenstein and Swieca is generalized to the case of finite temperature within the thermofield bosonization…

High Energy Physics - Theory · Physics 2010-12-13 L. V. Belvedere , R. L. P. G. Amaral , K. D. Rothe , A. F. Rodrigues

We analyze the problem of screening in 1+1 dimensional gauge theories. Using QED2 as a warm-up for the non-abelian models we show the mechanism of the string breaking, in particular the vanishing overlap of the Wilson loops to the…

High Energy Physics - Lattice · Physics 2012-12-05 Piotr Korcyl , Mateusz Koren

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected…

High Energy Physics - Lattice · Physics 2010-01-21 Michael C. Ogilvie , Peter N. Meisinger

We study analytically the Wigner function $W_N({\bf x},{\bf p})$ of $N$ noninteracting fermions trapped in a smooth confining potential $V({\bf x})$ in $d$ dimensions. At zero temperature, $W_N({\bf x},{\bf p})$ is constant over a finite…

Statistical Mechanics · Physics 2018-06-20 David S. Dean , P. Le Doussal , Satya N. Majumdar , Gregory Schehr

The Schwinger model is a model of a two-dimensional $U(1)$ gauge theory coupled to a Dirac fermion. It is an interesting model that exhibits phenomena like confinement and chiral symmetry breaking. In this paper, we study the massless…

High Energy Physics - Theory · Physics 2025-10-20 Aashish Chahal , Rajesh Kumar Gupta

We evaluate the entanglement entropy and entropic function of massive two dimensional QED (Schwinger model) at finite temperature, density, and $\theta$-angle. In the strong coupling regime, the entropic function is dominated by the boson…

High Energy Physics - Theory · Physics 2024-01-30 Sebastian Grieninger , Kazuki Ikeda , Dmitri E. Kharzeev , Ismail Zahed

We discuss the correlation function of hadronic currents in the Schwinger model at finite temperature $T$. We explicitly construct the retarded correlator in real time and obtain analytical results for the Euclidean correlator on a torus.…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Fayyazuddin , T. H. Hansson , M. A. Nowak , J. J. M. Verbaarschot , I. Zahed

We consider prescriptions that are free from the direct charge-screening effects by quark loops and enable us to clarify the confining nature of a vacuum. We test two candidates for an order parameter, a Polyakov loop ($P$) evaluated in…

High Energy Physics - Lattice · Physics 2008-07-29 Toru T. Takahashi

Thermal corrections to Schwinger pair production are potentially important in particle physics, nuclear physics and cosmology. However, the lowest-order contribution, arising at one loop, has proved difficult to calculate unambiguously. We…

High Energy Physics - Theory · Physics 2017-03-15 Leandro Medina , Michael C. Ogilvie

We study the massless Schwinger model with an additional 4-fermi interaction and a topological term. For topological angle $\theta = \pi$ charge conjugation symmetry is implemented in a non-trivial way and we study the possibility of its…

High Energy Physics - Lattice · Physics 2022-10-26 Dominic Hirtler , Christof Gattringer

Confinement may be more easily demonstrated at finite temperature using the Polyakov loop than at zero temperature using the Wilson loop. A natural mechanism for confinement can arise via the coupling of the adjoint Polyakov loop to F_{mu…

High Energy Physics - Lattice · Physics 2009-10-30 Peter N. Meisinger , Michael C. Ogilvie

We study again the phenomenon of charge fractionalization at finite temperature. Our calculations are done in a framework in which the connection between the induced fermion number and the chiral anomaly is manifest. We find that the…

High Energy Physics - Theory · Physics 2012-01-30 Yeong-Chuan Kao , Ming-Chiun Wu

We investigate the Casimir effect at finite temperature for a charged scalar field in the presence of an external uniform and constant magnetic field, perpendicular to the Casimir plates. We have used a boundary condition characterized by a…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes , A. Tort

We calculate the complete one-loop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: phi, the angle associated with a non-trivial Polyakov loop, and H, a constant background chromomagnetic field.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Michael C. Ogilvie