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We calculate the polarization tensor of charged gluons in a Abelian homogeneous magnetic background field at finite temperature in one loop order Lorentz background field gauge in full generality. Thereby we first determine the ten…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , V. Skalozub

We study the polarization and dispersion properties of gluons moving within a weakly magnetized background at one-loop order. To this end, we show two alternative derivations of the charged fermion propagator in the weak field expansion and…

High Energy Physics - Phenomenology · Physics 2021-05-05 Alejandro Ayala , Jorge David Castaño-Yepes , L. A. Hernández , Jordi Salinas , R. Zamora

In SU(2) gluodynamics we calculate the gluon polarization tensor in an Abelian homogeneous magnetic field in one-loop order in the Lorentz background field gauge. It turned out to be non transversal and consisting of ten tensor structures…

High Energy Physics - Theory · Physics 2009-01-07 M. Bordag , V. Skalozub

We obtain the general expression of the gluon propagator at finite temperature ($T$) and in a magnetic field ($B$), for the case that the four transverse tensor structures appear in the gluon self-energy. By using this expression and a…

High Energy Physics - Phenomenology · Physics 2018-02-07 Koichi Hattori , Daisuke Satow

In the framework of SU(2) gluodynamics, we derive the tensor structure of the neutral gluon polarization tensor in an Abelian homogeneous magnetic field at finite temperature and calculate it in one-loop approximation in the Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , V. Skalozub

In this work, we calculate the one-loop contribution to the polarization tensor for photons (and gluons) in the presence of a classical background magnetic field with white-noise stochastic fluctuations. The magnetic field fluctuations are…

High Energy Physics - Theory · Physics 2024-01-24 Jorge David Castaño-Yepes , Enrique Muñoz

We investigate the question about the transversality of the gluon polarization tensor in a homogeneous chromomagnetic background field. We re-derive the non transversality known from a pure one loop calculation using the Slavnov-Taylor…

High Energy Physics - Theory · Physics 2009-11-11 M. Bordag , J. Grebenyuk , V. Skalozub

In this paper, we have developed a systematic technique to regularize double summations of Landau levels and analytically evaluated the photon vacuum polarization at an external magnetic field. The final results are described by Lerch…

High Energy Physics - Theory · Physics 2014-09-05 Jingyi Chao , Lang Yu , Mei Huang

Hattori-Itakura have recently derived the full Landau-level summation form for the photon vacuum polarization tensor in constant external magnetic fields at the one-loop level. The Landau-level summation form is essential when the photon…

High Energy Physics - Phenomenology · Physics 2013-10-31 Ken-Ichi Ishikawa , Daiji Kimura , Kenta Shigaki , Asako Tsuji

The gluon polarization functional is evaluated for a generic linear covariant gauge and for any space dimension in pure Yang-Mills SU(N) theory up to second order in a generalized perturbation theory, where the zeroth order action is freely…

High Energy Physics - Phenomenology · Physics 2015-10-28 Fabio Siringo

We compute the gluon polarization tensor in a thermo-magnetic environment in the strong magnetic field limit at zero and high temperature. The magnetic field effects are introduced using Schwinger's proper time method. Thermal effects are…

We consider the polarization tensor of a color charged gluon field in SU(2) in the background of a homogeneous color magnetic field and calculate its projection onto the lower (tachyonic) state. We obtain a quite simple representation of…

High Energy Physics - Theory · Physics 2013-05-30 M. Bordag , V. Skalozub

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

We compute the heavy quarkonium complex potential in an arbitrary magnetic field strength generated in the relativistic heavy-ion collision. First, the one-loop gluon polarization tensor is obtained in the presence of an external, constant,…

High Energy Physics - Phenomenology · Physics 2023-11-03 Jobin Sebastian , Lata Thakur , Hiranmaya Mishra , Najmul Haque

Having in mind the pre-equilibrium stage in peripheral heavy-ion collisions as a possible scenario for the production of electromagnetic radiation, we compute the two-gluon one-photon vertex in the presence of an intense magnetic field at…

High Energy Physics - Phenomenology · Physics 2022-12-21 Alejandro Ayala , Jorge David Castaño-Yepes , L. A. Hernández , Ana Julia Mizher , María Elena Tejeda-Yeomans , R. Zamora

Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived by a one-loop massive expansion in the Landau gauge, and are studied in Minkowski space, yielding a direct proof of positivity violation and…

High Energy Physics - Phenomenology · Physics 2017-04-04 Fabio Siringo

We find the general structure for the two-gluon one-photon vertex in the presence of a constant magnetic field. We show that, when accounting for the symmetries satisfied by the strong and electromagnetic interactions under parity, charge…

High Energy Physics - Phenomenology · Physics 2024-10-22 Alejandro Ayala , Santiago Bernal-Langarica , Jorge Jaber-Urquiza , José Jorge Medina-Serna

The quark gap equation under the rainbow truncation, with two versions of a phenomenological one-gluon exchange interaction and in the presence of a uniform magnetic field is considered. It is argued that in order to describe the quark…

High Energy Physics - Phenomenology · Physics 2013-12-02 Peter Watson , Hugo Reinhardt

We compute the one loop corrections to the pole mass of the gluon in the MSbar scheme in the Landau gauge in both the Curci-Ferrari model and the local composite operator formalism with Nf flavours of massless quarks. For the latter we…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. E. Browne , J. A. Gracey

The results of different non-perturbative studies agree on a power law as the infrared behavior of the Landau gauge gluon propagator. This propagator violates positivity and thus indicates the absence of the transverse gluons from the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris
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