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We derive a closed form expression for the long wavelength limit of the effective action for hard thermal loops in an external gravitational field. It is a function of the metric, independent of time derivatives. It is compared and…

High Energy Physics - Theory · Physics 2009-03-24 F T Brandt , J Frenkel , J C Taylor

We study, in the imaginary-time formalism, the high temperature behavior of n-point thermal loops in static Yang-Mills and gravitational fields. We show that in this regime, any hard thermal loop gives the same leading contribution as the…

High Energy Physics - Theory · Physics 2011-11-10 J. Frenkel , S. H. Pereira , N. Takahashi

We examine, through a Boltzmann equation approach, the generating action of hard thermal loops in the background of gravitational fields. Using the gauge and Weyl invariance of the theory at high temperature, we derive an explicit…

High Energy Physics - Theory · Physics 2016-04-20 R. R. Francisco , J. Frenkel , J. C. Taylor

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 propose a formulation of the long-distance dynamics of gauge theories at finite temperature on a lattice in Minkowski space, including the effects of hard thermal loops on the dynamics of the long wavelength modes. Our approach is based…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. R. Hu , B. Muller

We derive a closed-form result for the leading thermal contributions which appear in the n-dimensional phi3 theory at high temperature. These contributions become local only in the long wavelength and in the static limits, being given by…

High Energy Physics - Theory · Physics 2012-11-09 F. T. Brandt , J. Frenkel

We prove that the hard thermal loop contribution to static thermal amplitudes can be obtained by setting all the external four-momenta to zero before performing the Matsubara sums and loop integrals. At the one-loop order we do an iterative…

High Energy Physics - Theory · Physics 2015-06-11 F. T. Brandt , J. B. Siqueira

We show that the high temperature limit of the noncommutative thermal Yang-Mills theory can be directly obtained from the Boltzmann transport equation of classical particles. As an illustration of the simplicity of the Boltzmann method, we…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel , D. G. C. McKeon , J. C. Taylor

The high temperature limit of the 3-graviton vertex function is studied in thermal quantum gravity, to one loop order. The leading ($T^4$) contributions arising from internal gravitons are calculated and shown to be twice the ones…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. T. Brandt , J. Frenkel

Hard thermal loops play a central role in the theory of long wavelength excitations of a quark-gluon plasma. We show in this paper how our recent derivation of their generating functional from the Dyson-Schwinger equations sheds light on…

High Energy Physics - Phenomenology · Physics 2010-11-01 Jean-Paul Blaizot , Edmond Iancu

Thermal field theory is indispensable for describing hot and dense systems. Yet perturbative calculations are often stymied by a host of energy scales, and tend to converge slowly. This means that precise results require the apt use of…

High Energy Physics - Phenomenology · Physics 2023-04-20 Andreas Ekstedt

Summation over hard thermal loops, by themselves and as insertions in higher order Feynman diagrams, is important in thermal perturbation theory for Quantum Chromodynamics, so that all contributions of a given order in the coupling constant…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Nair

I consider the calculation of the two and three-point functions for QED at finite temperature in the presence of a background plasma velocity. The final expressions are consistent with Lorentz invariance, gauge invariance and current…

High Energy Physics - Phenomenology · Physics 2010-12-17 D. Metaxas

We present a systematic discussion of Braaten and Pisarski's hard thermal loop (HTL) effective theory within the framework of the real-time (Schwinger-Keldysh) formalism. As is well known, the standard imaginary-time HTL amplitudes for hot…

High Energy Physics - Phenomenology · Physics 2009-11-13 Simon Caron-Huot

The fermionic dispersion relation in the presence of a background magnetic field and a high temperature QED plasma is calculated exactly in the external field, using the Hard Thermal Loop effective action. As the field strength increases…

High Energy Physics - Phenomenology · Physics 2009-10-28 Per Elmfors

In this paper we compute the effective Lagrangian of static gravitational fields interacting with thermal fields of generalized electrodynamics at high temperature. We employ the usual Matsubara imaginary-time formalism to obtain a closed…

High Energy Physics - Theory · Physics 2014-12-09 R. Bufalo

In this review, we present the key aspects of modern thermal perturbation theory based on the hard thermal loop (HTL) approximation, including its theoretical foundations and applications within quantum electrodynamics (QED) and quantum…

High Energy Physics - Phenomenology · Physics 2024-09-20 Najmul Haque , Munshi G. Mustafa

Hard thermal loops describe how soft gauge fields are screened and damped in hot plasmas. As such they are used to calculate transport coefficients, Sphaleron rates, equations of state, and particle production. However, most calculations…

High Energy Physics - Phenomenology · Physics 2023-07-12 Andreas Ekstedt

This paper discusses attempts to numerically compute the effects of hard thermal loops in non-abelian gauge theories at finite temperature by means of solutions of Heinz' transport equation for an ensemble of classical colored particles…

Nuclear Theory · Physics 2007-05-23 Berndt Müller

In hot gauge theories, perturbation theory at the scale of the Debye screening mass requires the resummation of the so-called hard thermal loops, which corresponds to using an effective action obtained by integrating out the modes with…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Rebhan
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