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We discuss the confining features of the Schwinger model on the Poincare half plane. We show that despite the fact that the expectation value of the large Wilson loop of massless Schwinger model displays the perimeter behavior, the system…

High Energy Physics - Theory · Physics 2007-05-23 H. Mohseni Sadjadi , M. Alimohammadi

\noindent The well-known exact solution of the massless Schwinger model can be simply obtained by perturbing around a vacuum without the Dirac sea of filled negative energy states. The unusual vacuum structure changes the sign of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Paul Hoyer

Confinement properties of the $1+1$ Schwinger model can bestudied by computing the string tension between two charges. It is finite (vanishing) if the fermions are massive (massless) corresponding to the occurrence of confinement…

High Energy Physics - Theory · Physics 2019-08-28 Joao C. Pinto Barros , Marcello Dalmonte , Andrea Trombettoni

Within the framework of Euclidean path integral and mass perturbation theory we compute the Wilson loop of widely separated external charges for the massive Schwinger model. From this result we show for arbitrary order mass perturbation…

High Energy Physics - Theory · Physics 2009-07-24 C. Adam

We examine the possibility of a confinement-deconfinement phase transition at finite temperature in both parity invariant and topologically massive three-dimensional quantum electrodynamics. We review an argument showing that the Abelian…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano , O. Tirkkonen

We consider the massless charge-$N$ Schwinger model and its deformation with two four-fermion operators. Without the deformations, this model exhibits chiral symmetry breaking without confinement. It is usually asserted that the massless…

High Energy Physics - Theory · Physics 2023-02-01 Aleksey Cherman , Theodore Jacobson , Mikhail Shifman , Mithat Unsal , Arkady Vainshtein

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

We show that, in 1+1 dimensional gauge theories, a heavy probe charge is screened by dynamical massless fermions both in the case when the source and the dynamical fermions belong to the same representation of the gauge group and,…

High Energy Physics - Theory · Physics 2009-10-28 D. J. Gross , I. R. Klebanov , A. V. Matytsin , A. V. Smilga

We consider the two-dimensional Schwinger model of a massless charged fermion coupled to an Abelian gauge field on a fixed de Sitter background. The theory admits an exact solution, first examined by Jayewardena, and can be analyzed…

High Energy Physics - Theory · Physics 2024-09-12 Dionysios Anninos , Tarek Anous , Alan Rios Fukelman

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

The one-dimensional lattice Schwinger model has recently been realized by using bosons in optical lattices. This model contains both confinement and deconfinement phases, whose phase diagram is controlled by the mass of the matter field and…

Quantum Gases · Physics 2023-01-09 Yanting Cheng , Shang Liu , Wei Zheng , Pengfei Zhang , Hui Zhai

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

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano

We investigate the massive Schwinger model in $d=1+1$ dimensions using bosonization and the nonperturbative functional renormalization group. In agreement with previous studies we find that the phase transition, driven by a change of the…

High Energy Physics - Theory · Physics 2022-02-02 Patrick Jentsch , Romain Daviet , Nicolas Dupuis , Stefan Floerchinger

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

We analyze entanglement generated by the Schwinger effect using a mode-by-mode formalism for scalar and spinor QED in constant backgrounds. Starting from thermal initial states, we derive compact, closed-form results for bipartite…

High Energy Physics - Theory · Physics 2026-02-13 Dimitrios Kranas , Amaury Marchon , Silvia Pla

We construct the integration measure over the moduli space of an arbitrary number of N kinds of dyons of the pure SU(N) gauge theory at finite temperatures. The ensemble of dyons governed by the measure is mathematically described by a…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri Diakonov , Victor Petrov

The confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

High Energy Physics - Lattice · Physics 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

We introduced in a previous paper a general notion of asymptotic morphism of a given local net of observables, which allows to describe the sectors of a corresponding scaling limit net. Here, as an application, we illustrate the general…

Mathematical Physics · Physics 2019-10-02 Roberto Conti , Gerardo Morsella
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