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We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting…

高能物理 - 唯象学 · 物理学 2008-12-18 A. Bashir , A. Raya , S. Sanchez-Madrigal

We introduce a gauge invariant and string independent two-point fermion correlator which is analyzed in the context of the Schwinger model (QED_2). We also derive an effective infrared worldline action for this correlator, thus enabling the…

高能物理 - 理论 · 物理学 2008-11-26 D. G. Barci , L. E. Oxman , S. P. Sorella

Quantum field theories with global symmetries simplify considerably in the large-charge limit allowing to compute correlators via a semiclassical expansion in the inverse powers of the conserved charges. A generalization of the approach to…

高能物理 - 理论 · 物理学 2023-01-27 Oleg Antipin , Alexander Bednyakov , Jahmall Bersini , Pantelis Panopoulos , Andrey Pikelner

A variational method is discussed, extending the Gaussian effective potential to higher orders. The single variational parameter is replaced by trial unknown two-point functions, with infinite variational parameters to be optimized by the…

高能物理 - 唯象学 · 物理学 2013-09-30 Fabio Siringo

We clarify issues of convexity, gauge-dependence and radiative corrections in relation to tunneling rates. Despite the gauge dependence of the effective action at zero and finite temperature, it is shown that tunneling and nucleation rates…

高能物理 - 唯象学 · 物理学 2016-10-24 Alexis D. Plascencia , Carlos Tamarit

The QCD partition function in the external stationary gluomagnetic field is computed in the third order in external field invariants in arbitrary dimension and arbitrary covariant gauge. The contributions proportional to third order…

高能物理 - 理论 · 物理学 2009-11-11 Andrei Leonidov , Vladimir Nechitailo

In recent years new types of coordinate transformations have appeared in cosmology on top of the standard gauge transformations, such as the dilatations and special conformal transformations, or the ones leading to (conformal) Fermi…

宇宙学与河外天体物理 · 物理学 2022-10-18 Ermis Mitsou , Jaiyul Yoo

The damping rate of two-dimensional massless Dirac fermions exhibit non-Fermi liquid behavior, $\propto \epsilon^{1/2}$, due to gauge field at zero temperature and zero chemical potential. We study the fate of this behavior at finite…

强关联电子 · 物理学 2015-11-23 Jing-Rong Wang , Guo-Zhu Liu

Fermion propagator of the Schwinger Model is revisited from the point of view of its infrared behavior. The values of anomalous dimensions are found in arbitrary covariant gauge and in all contributing instanton sectors. In the case of a…

高能物理 - 理论 · 物理学 2008-11-26 Tomasz Radozycki

The gauge-invariance properties and singularity elimination of the modified perturbation theory for QCD introduced in previous works, are investigated. The construction of the modified free propagators is generalized to include the…

高能物理 - 唯象学 · 物理学 2009-01-07 Alejandro Cabo , Marcos Rigol

We consider the covariant graviton propagator in de Sitter spacetime in a gauge with two parameters, alpha and beta, in the Euclidean approach. We give an explicit form of the propagator with a particular choice of beta but with arbitrary…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Atsushi Higuchi , Spyros S. Kouris

We investigate gauge dependence of a nonrelativistic boundstate formalism used in contemporary calculations. It is known that the effective Hamiltonian of the boundstate system depends on the choice of gauge. We obtain the gauge…

高能物理 - 唯象学 · 物理学 2007-05-23 Y. Sumino

We consider the properties of the gauge-invariant two-point correlation functions of the gauge-field strengths for QCD in the presence of a magnetic background field. We discuss the general structure of the correlators in this case and…

高能物理 - 格点 · 物理学 2016-03-23 Massimo D'Elia , Enrico Meggiolaro , Michele Mesiti , Francesco Negro

We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta…

高能物理 - 理论 · 物理学 2016-01-13 Nobuyoshi Ohta , Roberto Percacci

We consider four-dimensional non-Abelian gauge theory living on a complex projective space $\mathbb{CP}^2$ as a way of gaining insights into (3+1)-dimensional QCD. In particular, we use a complex parametrization of gauge fields on which…

高能物理 - 理论 · 物理学 2024-10-31 Antonina Maj

The covariant two-point functions, derived from Ward identities in direct space, can be affected by consistency problems and can become unbounded for large time- or space-separations. This difficulty arises for several extensions of…

数学物理 · 物理学 2016-11-11 Malte Henkel , Stoimen Stoimenov

The problem of maintaining gauge invariance when truncating the two particle irreducible (2PI) effective action has been studied recently by several authors. Here we give a simple and very general derivation of the gauge dependence…

高能物理 - 唯象学 · 物理学 2011-09-13 M. E. Carrington , G. Kunstatter , H. Zaraket

This paper reports on our diagrammatic approach to characterize the gauge dependence of Quantum Electrodynamics in the linear covariant gauge. Our dimensionally independent technique is purely based on a perturbative analysis and allows us…

高能物理 - 理论 · 物理学 2018-08-02 Henry Kißler

A statistical method for the estimation of spatial correlation lengths of Gaussian-shaped fluctuating signals with two measurement points is examined to quantitatively evaluate its reliability (variance) and accuracy (bias error). The…

等离子体物理 · 物理学 2016-08-24 Jaewook Kim , Y. U. Nam , M. Lampert , Y. -c. Ghim

We reexamine the invariance of two-photon transition matrix elements and corresponding two-photon Rabi frequencies under the "gauge" transformation from the length to the velocity gauge. It is shown that gauge invariance, in the most…

量子物理 · 物理学 2017-05-23 U. D. Jentschura