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Related papers: Dynamical Symmetry Breaking in Planar QED

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In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ…

High Energy Physics - Lattice · Physics 2012-06-15 E. -M. Ilgenfritz , M. Kalinowski , M. Muller-Preussker , B. Petersson , A. Schreiber

A constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this…

High Energy Physics - Theory · Physics 2009-10-28 V. A. Miransky

In this article we derive the anomalous magnetic moment of fermions in (2+1)-dimensional parity-conserving QED3, in the presence of an externally applied constant magnetic field. We use a spectral representation of the photon propagator to…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jean Alexandre , K. Farakos , N. E. Mavromatos

In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to…

High Energy Physics - Theory · Physics 2011-06-16 Taichi Itoh , Hiroshi Kato

We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the presence of a strong external magnetic field. The calculation is done at finite temperature and the fermionic self energy is not supposed to be momentum-independent,…

High Energy Physics - Theory · Physics 2009-10-31 J. Alexandre , K. Farakos , G. Koutsoumbas

The influence of a magnetic field on the mass generation in 2+1 dimensional QED is considered.It is shown that the magnetic field is a catalyst of the generation of a fermion dynamical mass. The mass arises in the system with arbitrary…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Shpagin

The charge screening, confinement of fermion quantum numbers and the chiral condensate formation in two-dimensional QED is studied in details. It is shown that charge screening and confinement of fermion number in two-dimensional QED is due…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov , I. T. Dyatlov , V. Yu. Petrov

It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We consider the parity invariant (2+1)-dimensional QED where the matter is represented as a mixture of fermions with opposite spins. It is argued that the perturbative ground state of the system is unstable with respect to the formation of…

High Energy Physics - Theory · Physics 2009-10-31 M. Eliashvili , G. Tsitsishvili

We study chiral symmetry breaking for relativistic fermions, described by a parity violating Lagrangian in 2+1-dimensions, in the presence of a heat bath and a uniform external magnetic field. Working within their four-component formalism…

High Energy Physics - Phenomenology · Physics 2014-11-21 Alejandro Ayala , Adnan Bashir , Enif Gutierrez , Alfredo Raya , Angel Sanchez

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

We perform a lattice study, in the quenched approximation, of dynamical mass generation in a system of relativistic (Dirac) fermions, coupled to an Abelian gauge field in (2+1)-dimensions, in the presence of an external (constant) magnetic…

High Energy Physics - Lattice · Physics 2009-10-31 K. Farakos , G. Koutsoumbas , N. E. Mavromatos

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that…

High Energy Physics - Theory · Physics 2009-10-31 Ashok Das , Gerald Dunne

We study QED in external electromagnetic fields using methods developed for simulating lattice QCD. Our first project is to simulate QED in a constant (in space and time) external magnetic field on a euclidean space-time lattice using the…

High Energy Physics - Lattice · Physics 2021-11-04 D. K. Sinclair , J. B. Kogut

In recent years, two-dimensional Dirac materials patterned with a superlattice structure have emerged as a rich platform for exploring correlated and topological quantum matter. In this work, we propose that by subjecting Dirac electrons to…

Strongly Correlated Electrons · Physics 2023-02-21 Xue-Yang Song , Hart Goldman , Liang Fu

We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scalar fields: QED in a constant magnetic field.

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We study the Euclidean effective action and the full fermion propagator for a Dirac field in the presence of a scalar field with a domain wall defect, in 2+1 dimensions. We include quantum effects due to both fermion and scalar field…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco

In this letter we study (2+1)-dimensional QED. The first part contains the computation of the flavor symmetry-breaking condensate and its relation to the trace of the energy-momentum tensor, while the second part is concerned with the…

High Energy Physics - Theory · Physics 2009-10-30 Walter Dittrich , Holger Gies

We study two-dimensional QED with unequal charges at finite temperature, and show that there is a phase with a spontaneously broken $Z_n$ symmetry. In spite of this, we were not able to establish the presence of domain walls. The relevance…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. H. Hansson , H. B. Nielsen , I. Zahed

The problem of chiral symmetry breaking in QED in a strong magnetic field is briefly reviewed. Recent progress on issues regarding the gauge fixing independence of the dynamically generated fermion mass is discussed.

High Energy Physics - Phenomenology · Physics 2017-08-23 S. -Y. Wang