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In this paper, we give a simple diagrammatic identification of the unique combination of the causal n-point vertex functions in the real time formalism that would coincide with the corresponding functions obtained in the imaginary time…

High Energy Physics - Theory · Physics 2016-08-25 F. T. Brandt , Ashok Das , J. Frenkel , A. J. da Silva

We study, in the imaginary time formalism, the relation between loops and on-shell forward scattering tree amplitudes in thermal field theories. This allows for an efficient evaluation, at all temperatures, of Green's functions with causal…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon , G. S. S. Sakoda

We develop systematically to all orders the forward scattering description for retarded amplitudes in field theories at zero temperature. Subsequently, through the application of the thermal operator, we establish the forward scattering…

High Energy Physics - Theory · Physics 2008-11-26 Fernando T. Brandt , Ashok Das , Josif Frenkel , Silvana Perez

Combining the thermal operator representation with the dispersion relation in QED at finite temperature and chemical potential, we determine the complete retarded photon self-energy only from its absorptive part at zero temperature. As an…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel

We calculate the two-loop effective action of QED for arbitrary constant electromagnetic fields at finite temperature T in the limit of T much smaller than the electron mass. It is shown that in this regime the two-loop contribution always…

High Energy Physics - Phenomenology · Physics 2009-09-25 Holger Gies

Through the application of the thermal operator to the zero temperature retarded Green's functions, we derive in a simple way the well known hard thermal effective action in QCD. By relating these functions to forward scattering amplitudes…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , J. Frenkel

We discuss the high temperature behavior of retarded thermal loops in static external fields. We employ an analytic continuation of the imaginary time formalism and use a spectral representation of the thermal amplitudes. We show that, to…

High Energy Physics - Theory · Physics 2015-06-17 F. T. Brandt , J. Frenkel , J. B. Siqueira

We derive the spectral representations of QED 3-point functions and then explicitly calculate the 3-point spectral densities in hard thermal loop approximation within the real time formalism. The Ward identities obeyed by the retarded and…

High Energy Physics - Theory · Physics 2009-10-09 Hou Defu , U. Heinz

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

We extend to a general class of covariant gauges an approach which relates the thermal Green functions to forward scattering amplitudes of thermal particles. A brief discussion of the non-transversality of the thermal gluon polarization…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

Strongly Correlated Electrons · Physics 2017-11-01 J. J. Kas , J. J. Rehr

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid…

High Energy Physics - Phenomenology · Physics 2019-12-25 Greg Jackson

An often used rule that the thermal correction to the self-energy is the thermal phase-space times the forward scattering amplitude from target particles is shown to be the leading term in an exact multiple scattering expansion. Starting…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sangyong Jeon , Paul J. Ellis

We derive spectral representations for the different components of the 4-point function at finite temperature in the real time formalism in terms of five real spectral densities. We explicitly calculate all these functions in QED in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hou Defu , M. E. Carrington , R. Kobes , U. Heinz

In a recent paper (Phys. Rev. D78, 084031 (2008), arXiv:0808.0642, Ref. [1]) it was shown in examples that the covariant retarded Green's functions in particular gauges for electromagnetism and linearized gravity can be used to reproduce…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Atsushi Higuchi , Yen Cheong Lee , Jack R. Nicholas

The general relationship between a Retarded-Advanced Green function of the Real Time formalism and analytical continuations of the Imaginary Time Amplitude is obtained via perturbation theory. A 4-point R-A function is, at most, a linear…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. Guerin

We investigate temperature behavior up to two loop level in QED in the background heat bath using real time formalism. The thermal correction to the coupling constant in QED at low temperature are presented up to the two loop level. It is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mahnaz Haseeb , Samina S. Masood

We study the single-particle Green function for a two-dimensional superconductor in a regime of strong classical phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on d-wave superconductors. We…

Superconductivity · Physics 2010-04-09 M. Khodas , A. M. Tsvelik

In order to investigate the systematics of the loop expansion in high temperature gauge theories beyond the leading order hard thermal loop (HTL) approximation, we calculate the two-loop electron proper self-energy in high temperature QED.…

High Energy Physics - Phenomenology · Physics 2010-04-06 Emil Mottola , Zsolt Szep

Starting from linear equations for the complex scalar field, the two- and three-point Green's functions are obtained in the infrared approximation. We show that the infrared singularity factorizes in the vertex function as in spinorial QED,…

High Energy Physics - Theory · Physics 2017-02-01 B. M. Pimentel , J. L. Tomazelli
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