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Weak coupling expansion of a chiral gauge theory on a lattice is discussed in the overlap formulation. We analyze the fermion propagator and the fermion-fermion-gauge boson vertex in the one loop level. The chiral properties of the…

High Energy Physics - Lattice · Physics 2009-10-30 Atsushi Yamada

The low-energy limit of pure Yang-Mills SU(3) gauge theory is studied in Feynman gauge by the method of stationary variance, a genuine second-order variational method that is suited to deal with the minimal coupling of fermions in gauge…

High Energy Physics - Phenomenology · Physics 2014-11-26 Fabio Siringo

The well-known physical equivalence drawn from hole theory is applied in this article. The author suggests to replace, in the part of Feynman diagram which cannot be fixed by experiments, each fermion field operator, and hence fermion…

High Energy Physics - Theory · Physics 2011-04-20 Ji Sun

We derive the propagator for a massless, minimally coupled scalar on a $D$-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism, by…

General Relativity and Quantum Cosmology · Physics 2008-12-18 T. M. Janssen , S. P. Miao , T. Prokopec , R. P. Woodard

To remove the linear infrared divergences in quenched approximation we include the massive fermion loop to the photon spectral function.Spectral function of fermion has no one particle singularity if we fix the anomalous dimension to be…

High Energy Physics - Theory · Physics 2017-08-23 Yuichi Hoshino

We study the behavior of the pole of the fermion propagator, in QED in $n$-dimensions, in a general class of gauges which interpolate between the covariant, the axial and the Coulomb gauges. We use Nielsen identities, following from the…

High Energy Physics - Theory · Physics 2015-06-16 Ashok K. Das , J. Frenkel

The Landau gauge lattice gluon propagator is discussed for different sets of lattices. Particular attention is given to its infrared properties. Our results show that the lattice propagator can be made compatible with either the…

High Energy Physics - Lattice · Physics 2011-07-14 O. Oliveira , P. J. Silva

Fermion propagator is computed in a simple model on an extremely anisotropic lattice $\xi\gg1$. Fermion determinant is evaluated up to $\xi^{-4}$ order. Chiral condensate is estimated in mean field approximation.

High Energy Physics - Lattice · Physics 2007-05-23 Vladimir K. Petrov

To study the infrared behaviour of the propagator, exponentiation of the lowest order spectral function has been known.We show this method is helpful in super renormalizable theory with dimension-full coupling constant.In the 1/N…

High Energy Physics - Theory · Physics 2009-01-28 Yuichi Hoshino

We present a comprehensive analysis of the Landau-Khalatnikov-Fradkin transformations for the charged fermion propagator in reduced quantum electrodynamics (RQED). Starting from the propagator in a reference gauge, we perform a gauge…

High Energy Physics - Theory · Physics 2026-05-15 Anam Ashraf , Faisal Akram , M. Jamil Aslam , Dania Rodríguez-Tzintzun , Adnan Bashir , Luis Albino

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

High Energy Physics - Phenomenology · Physics 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

We investigate the renormalized fermion-gluon vertex, the fermion effective mass, and the fermion condensate when the fermion propagates in an external Yang-Mills gauge field. We use an exact Green's function for the Dirac operator in a…

High Energy Physics - Theory · Physics 2026-05-26 V. V. Parazian

We discuss the infrared and ultraviolet behavior of the fermion propagator in (2+1)-dimensional QED based on spectral representation.If we choose soft-photon exponentiation to include all orders of soft-photon emission by electron,its…

High Energy Physics - Theory · Physics 2014-03-17 Yuichi Hoshino

The problem of infrared divergence of the effective electromagnetic field produced by elementary particles is revisited using the non-equilibrium model of an electron interacting with low-temperature photons. It is argued that the infrared…

Quantum Physics · Physics 2011-01-27 Kirill A. Kazakov , Vladimir V. Nikitin

In this review, we present a derivation of the on-shell renormalization conditions for scalar and fermionic fields in theories with and without parity conservation. We also discuss the specifics of Majorana fermions. Our approach only…

High Energy Physics - Phenomenology · Physics 2017-03-22 W. Grimus , M. Löschner

Quantum electrodynamics in three dimensions in the bispinor formulation is considered. It is shown that the Dyson-Schwinger equations for fermion and boson propagators may be self-consistently solved in the infrared domain if on uses the…

High Energy Physics - Theory · Physics 2015-06-12 Tomasz Radozycki

The full gluon propagator relevant for the description of the truly non-perturbative QCD dynamics, the so-called intrinsically non-perturbative gluon propagator has been derived in our previous work. It explicitly depends on the regularized…

High Energy Physics - Phenomenology · Physics 2009-12-15 V. Gogokhia

We calculate the self-energy of fermions in Landau level n, in a finite field. Two cases are considered, in which fermions couple either to gauge fluctuations (as in the composite fermion gauge theory) or to phonons, as an example of a…

Condensed Matter · Physics 2009-10-28 S. Curnoe , P. C. E. Stamp

It is well known how multiplicative renormalizability of the fermion propagator, through its Schwinger-Dyson equation, imposes restrictions on the 3-point fermion-boson vertex in massless quenched quantum electrodynamics in 4-dimensions…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Bashir , R. Delbourgo

We study the infrared problem in the usual model of QED with non-relativistic matter. We prove spectral and regularity properties characterizing the mass shell of an electron and one-electron infraparticle states of this model. Our results…

Mathematical Physics · Physics 2015-05-13 Thomas Chen , Juerg Froehlich , Alessandro Pizzo