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In this paper, we discuss the gluon propagator in the linear covariant gauges in $D=2,3,4$ Euclidean dimensions. Non-perturbative effects are taken into account via the so-called Refined Gribov-Zwanziger framework. We point out that, as in…

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

Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a non-trivial problem due to the presence of Gribov copies. In particular, there are different gauges in the non-perturbative regime which all correspond to the same…

High Energy Physics - Lattice · Physics 2009-01-27 Axel Maas

We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the…

High Energy Physics - Phenomenology · Physics 2023-04-26 José Roberto Lessa , Fernando E. Serna , Bruno El-Bennich , Adnan Bashir , Orlando Oliveira

We make a proposal for gauge-invariant observables in perturbative quantum gravity in cosmological spacetimes, building on the recent work of Brunetti et al. [JHEP 08 (2016) 032]. These observables are relational, and are obtained by…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Markus B. Fröb , William C. C. Lima

We report on a lattice study of the gauge boson propagator of 3D compact QED in Landau gauge at zero and finite temperature. Non-perturbative effects are reflected by the generation of a mass m and by an anomalous dimension alpha. These…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We study the lattice gauge boson propagator of 3D compact QED in Landau gauge at zero and non-zero temperature. Non-perturbative effects are reflected by the generation of a mass $m$, by an anomalous dimension $\alpha$ and by the photon…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We perform perturbative computations in a lattice gauge theory with a conformal measure that is quadratic in a non-compact abelian gauge field and is nonlocal, as inspired by the induced gauge action in massless QED$_3$. In a previous work,…

High Energy Physics - Lattice · Physics 2023-01-11 Nikhil Karthik , Matthew Klein , Rajamani Narayanan

We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. The summation terms in the resulting expressions…

High Energy Physics - Theory · Physics 2022-03-23 S. N. Iablokov , A. V. Kuznetsov

The axion modified electrodynamics is usually used as a model for description of possible violation of Lorentz invariance in field theory. The low-energy manifestation of Lorentz violation can hopefully be observed in experiments with the…

High Energy Physics - Theory · Physics 2008-11-26 Yakov Itin

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…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Radozycki

It is well known that the long-range nature of the Coulomb interaction makes the definition of asymptotic ``in'' and ``out'' states of charged particles problematic in quantum field theory. In particular, the notion of a simple particle…

High Energy Physics - Theory · Physics 2008-11-26 S. Gulzari , J. Swain , A. Widom

This paper addresses perturbative aspects of the renormalization of a fermion with mass dimension one non-minimally coupled to the electromagnetic field. Specifically, we calculate the one-loop corrections to the propagators and vertex…

High Energy Physics - Phenomenology · Physics 2025-06-19 Willian Carvalho , M. Dias , A. C. Lehum , J. M. Hoff da Silva

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

We study field theories on the noncommutative Minkowski space with noncommuting time. The focus lies on dispersion relations in quantized interacting models in the Yang-Feldman formalism. In particular, we compute the two-point correlation…

High Energy Physics - Theory · Physics 2007-07-17 Jochen Zahn

We investigate the gauge boson propagator in three dimensional compact Abelian gauge model in the Landau gauge at finite temperature. The presence of the monopole plasma in the confinement phase leads to appearance of an anomalous dimension…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We discuss the equivalence of the standard covariant expressions and light-front expressions of the three fundamental one loop Feynman diagrams of Quantum Electrodynamics viz. vertex correction, fermion self-energy and vacuum polarization…

High Energy Physics - Theory · Physics 2020-04-01 Deepesh Bhamre , Anuradha Misra , Vivek Kumar Singh

We provide an analytic propagator for non-Hermitian dimers showing linear gain or losses in the quantum regime. In particular, we focus on experimentally feasible realizations of the $\mathcal{PT}$-symmetric dimer and provide their mean…

Quantum Physics · Physics 2017-08-09 José Delfino Huerta Morales , B. M. Rodríguez-Lara

The momentum diffusion coefficient of a heavy quark in a hot QCD plasma can be extracted as a transport coefficient related to the correlator of two colour-electric fields dressing a Polyakov loop. We determine the perturbative…

High Energy Physics - Lattice · Physics 2016-03-23 C. Christensen , M. Laine

We develop a complete formulation of quantum gauge invariance in light-front dynamics for interacting theories with massless vector gauge fields in the framework of null-plane causal perturbation theory. We apply the general results to…

High Energy Physics - Theory · Physics 2022-12-07 O. A. Acevedo , B. M. Pimentel