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In gauge field theories with asymptotic freedom, the short distance properties of Green's functions can be obtained on the basis of weak coupling perturbation expansions. Within this framework, the large momentum behavior of the structure…

高能物理 - 理论 · 物理学 2016-09-06 Jack Wentao Xu

A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive…

高能物理 - 理论 · 物理学 2008-11-26 Yakov Itin

Gauge fields in the light front are traditionally addressed via the employment of an algebraic condition $n\cdot A=0$ in the Lagrangian density, where $A_{\mu}$ is the gauge field (Abelian or non-Abelian) and $n^\mu$ is the external,…

高能物理 - 理论 · 物理学 2009-11-10 A. T. Suzuki , J. H. O. Sales

The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this…

高能物理 - 理论 · 物理学 2011-05-26 Alfredo Takashi Suzuki

Covariant $R_\xi$ gauge fixing is notoriously difficult for large lattice volumes, large $\xi$ and small $N_c$. We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume…

高能物理 - 格点 · 物理学 2015-09-23 Pedro Bicudo , Daniele Binosi , Nuno Cardoso , Orlando Oliveira , Paulo J. Silva

The implementation of gauge theories on a four-dimensional anisotropic lattice with two distinct lattice spacings is discussed, with special attention to the case where two axes are finely and two axes are coarsely discretized. Feynman…

高能物理 - 格点 · 物理学 2010-03-25 Giuseppe Burgio , Alessandra Feo , Mike Peardon , Sinead M. Ryan

Within the framework of the Dyson-Schwinger equations in the axial gauge, we study the effect that non-perturbative glue has on the quark propagator. We show that Ward-Takahashi identities, combined with the requirement of matching…

高能物理 - 唯象学 · 物理学 2009-10-28 J. R. Cudell , A. J. Gentles , D. A. Ross

In this paper we study the question of residual gauge fixing in the path integral approach for a general class of axial-type gauges including the light-cone gauge. We show that the two cases -- axial-type gauges and the light-cone gauge --…

高能物理 - 理论 · 物理学 2008-11-26 Ashok Das , J. Frenkel , Silvana Perez

Complete two-loop calculation of a dimensionally regularized Wilson loop with light-like segments is performed in the light-like axial gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator. We find an expression which…

高能物理 - 唯象学 · 物理学 2009-10-22 A. Bassetto , I. A. Korchemskaya , G. P. Korchemsky , G. Nardelli

The fermion propagator in an arbitrary covariant gauge can be obtained from the Landau gauge result via a Landau-Khalatnikov-Fradkin transformation. This transformation can be written in a practically useful form in both configuration and…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bashir , A. Raya , S. Sanchez-Madrigal , C. D. Roberts

A general expression of the hard thermal loop gluon propagator is given for a variety of abelian gauge fixing conditions (Coulomb gauge, axial gauge, covariant gauge, temporal gauge ...) The current --- current interaction energy, in…

核理论 · 物理学 2022-02-23 Tamas S. Biro

Green's functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the…

高能物理 - 格点 · 物理学 2009-03-27 Axel Maas , Attilio Cucchieri , Tereza Mendes

We study the propagator of a colored scalar particle in the background of a non-abelian gauge field using the worldline formalism. It is obtained by considering the open worldline of a scalar particle with extra degrees of freedom needed to…

高能物理 - 理论 · 物理学 2016-02-03 Naser Ahmadiniaz , Fiorenzo Bastianelli , Olindo Corradini

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

高能物理 - 格点 · 物理学 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. Sternbeck

We show that the application of the pinch technique to the conventional Schwinger-Dyson equations for the gluon propagator, gluon-quark vertex, and three-gluon vertex, gives rise to new equations endowed with special properties. The new…

高能物理 - 唯象学 · 物理学 2011-07-20 D. Binosi , J. Papavassiliou

We consider (effective) Quantum General Relativity coupled to the Standard Model and study its transversality. To this end, we provide all propagator and three-valent vertex Feynman rules. Then we examine the longitudinal, identical and…

高能物理 - 理论 · 物理学 2022-08-31 David Prinz

In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

Employing methods introduced by Schwinger in quantum electrodynamics, we compute the propagator for a non-Abelian gauge field in a plane wave background field. In the long distance limit a mass-like term for the gauge field is induced by…

高能物理 - 理论 · 物理学 2019-05-01 D. G. C. McKeon

We study numerically magnetic $G_M(p)$ and electric $G_E(p)$ gluon propagators and their dependence on the choice of the lattice gauge field $\caa_{x\mu}$ in SU(2) gauge theory, especially, in the low--momentum limit. We find that two…

高能物理 - 格点 · 物理学 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin

The most general covariant gauge fixing Lagrangian is considered for a spin-two gauge theory in the context of the Faddeev-Popov procedure. In general, five parameters characterize this gauge fixing. Certain limiting values for these…

高能物理 - 理论 · 物理学 2024-12-31 F. T. Brandt , J. Frenkel , D. G. C. McKeon