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We calculate the effective action for a constant magnetic field and a time-dependent time-component of the gauge field in 2+1 dimensions at finite temperature. We also discuss the behaviour of the charge density and the fermion condensate…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcelo Hott , Georgios Metikas

We investigate a model with a massless fermion and a massive scalar field with the Yukawa interaction between these two fields. The model possess a discrete symmetry. The chiral condensate is calculated in one-loop approximation in…

High Energy Physics - Phenomenology · Physics 2017-03-28 V. G. Ksenzov , A. I. Romanov

It is shown the analysis [1] for QED in 2+1 dimensions with N four-component fermions in the leading and next-to-leading orders of the 1/N expansion. As it was demonstrated in [1] the range of the admissible values N, where the dynamical…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. V. Kotikov

The fermion determinant in four-dimensional quantum electrodynamics in the presence of O(2)XO(3) symmetric background gauge fields with a nonvanishing global chiral anomaly is considered. It is shown that the leading mass singularity of the…

High Energy Physics - Theory · Physics 2014-11-21 M. P. Fry

We discuss how the inclusion of singular gauge fields in the partition function for QCD can lead to a domain-like picture for the QCD vacuum by virtue of specific conditions on quantum fluctuations at the singularities. With a simplified…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. C. Kalloniatis , S. N. Nedelko

Mixed dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four-dimensional. Here we investigate dynamical breaking of chiral…

High Energy Physics - Phenomenology · Physics 2020-09-21 Juan Angel Casimiro Olivares , Luis Albino , Ana Julia Mizher , Alfredo Raya

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 construct a self-consistent holographic QCD model which can realize two most important phenomena of QCD, i.e. chiral symmetry breaking and confinement. The model is formulated in the framework of graviton-dilaton-scalar system, where the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Danning Li , Mei Huang , Qi-Shu Yan

We explicitly derive the duality between a free electronic Dirac cone and quantum electrodynamics in $(2+1)$ dimensions (QED$_3$) with $N = 1$ fermion flavors. The duality proceeds via an exact, non-local mapping from electrons to dual…

Strongly Correlated Electrons · Physics 2016-07-06 David F. Mross , Jason Alicea , Olexei I. Motrunich

We investigate the effects of temperature $T$ and external magnetic fields $eB$ on the chiral condensates and screening masses of neutral pseudoscalar mesons, including $\pi^0$, $K^0$, and $\eta_{s\bar{s}}^0$, in (2+1)-flavor lattice QCD…

High Energy Physics - Lattice · Physics 2025-04-29 Heng-Tong Ding , Jin-Biao Gu , Sheng-Tai Li , Rishabh Thakkar

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to…

High Energy Physics - Theory · Physics 2022-08-12 Juan Angel Casimiro Olivares , Ana Julia Mizher , Alfredo Raya

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is reviewed. These fields play the role of the confining medium for color charged…

High Energy Physics - Phenomenology · Physics 2017-04-05 Sergei N. Nedelko , Vladimir E. Voronin

Dynamical fermion mass generation in external chromomagnetic fields is considered at non--zero temperature. The general features of dynamical chiral symmetry breaking ($D\chi SB$) are investigated for several field configurations in…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Ebert , V. Ch. Zhukovsky

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar)…

High Energy Physics - Theory · Physics 2018-04-05 S. Teber , A. V. Kotikov

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is briefly reviewed. These fields play the role of the confining medium for color…

High Energy Physics - Phenomenology · Physics 2016-05-18 Sergei N. Nedelko , Vladimir E. Voronin

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

We show that the logarithmically rising static potential between opposite-charged sources in two dimensions is screened by dynamical fields even if the probe charges are fractional, in units of the charge of the dynamical fields. The effect…

High Energy Physics - Theory · Physics 2010-02-03 D. Diakonov , K. Zarembo

Singular gauge fields in the partition function for QCD can lead to a domain-like picture for the QCD vacuum by virtue of constraints on quantum fluctuations at the singularities. With a simple model of hyperspherical domains with interiors…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. C. Kalloniatis , S. N. Nedelko

The three-dimensional non-compact QED is known to exhibit weak confinement when fermions acquire a finite mass via the mechanism of dynamical chiral symmetry breaking. In this paper, we study the effect of fermion damping caused by elastic…

High Energy Physics - Theory · Physics 2015-11-23 Jing Wang , Jing-Rong Wang , Wei Li , Guo-Zhu Liu

We identify two distinct, complementary gauge field configurations for QCD with SU(2) gauge group, one (instanton-like configurations) having to do with chiral symmetry breaking but not with confinement, the other (regularized Wu-Yang…

High Energy Physics - Theory · Physics 2009-10-31 Kenichi Konishi , Kazunori Takenaga