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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

The conventional results for hard thermal loops, which are the building blocks of resummed perturbation theory in thermal field theories, have collinear singularities when external momenta are light-like. It is shown that by taking into…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fritjof Flechsig , Anton K. Rebhan

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

The production rate of soft real photons or soft lepton pairs by a hot QCD plasma is dominated by strong collinear divergences. As a consequence, it appears that the effective theory based on the resummation of hard thermal loops fails to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francois Gelis

Hard thermal loop effective actions furnish the building blocks of resummed thermal perturbation theory, which is expected to work as long as the quantities under consideration are not sensitive to the nonperturbative (chromo-)magnetostatic…

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

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 calculate within the Hard Thermal Loop expansion the production rate of soft photons and lepton pairs by a hot quark-gluon plasma at thermal equilibrium, up to the 2-loop order. Strong collinear divergences appear to mix the orders of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francois Gelis

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

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

We derive the hard thermal loop action for soft electromagnetic fields in the finite temperature world-line formulation at imaginary time, by first integrating out the hard fermion modes from the microscopic QED action. Further, using the…

High Energy Physics - Theory · Physics 2009-11-07 R. Venugopalan , J. Wirstam

Strong collinear divergences, although regularized by a thermal mass, result in a breakdown of the standard hard thermal loop expansion in the calculation of the production rate of photons by a plasma of quarks and gluons using thermal…

High Energy Physics - Phenomenology · Physics 2009-10-28 Francois Gelis

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

The dynamics of soft ($|\vec{p}|\sim g^2 T$) non-Abelian gauge fields at finite temperature is non-perturbative. The effective theory for the soft scale is determined by diagrams with external momenta $p_0\lsim g^2 T$, $|\vec{p}|\sim g^2 T$…

High Energy Physics - Phenomenology · Physics 2015-06-25 Dietrich Bodeker

In this paper we study the hard-thermal-loop effective theory at next-to-leading order. Standard power-counting predicts that a large number of diagrams, including 2-loop diagrams, may need to be calculated. In all of the calculations that…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Mirza , M. E. Carrington

We compute corrections to the hard thermal (or dense) loop photon polarization tensor associated to a small mass $m$ of the fermions of an electromagnetic plasma at high temperature $T$ (or chemical potential $\mu$). To this aim we use the…

High Energy Physics - Phenomenology · Physics 2021-10-13 Marc Comadran , Cristina Manuel

We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether…

High Energy Physics - Theory · Physics 2017-10-11 Oliver Gould , Arttu Rajantie

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

Scalar QED is used to study approximations in thermal field theory beyond the Hard Thermal Loop resummation scheme. For this purpose the photon self energy is calculated for external momenta of the order e^2T using Hard Thermal Loop…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stefan Leupold , Markus H. Thoma

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 this paper, we extend the study of bremsstrahlung photon production in a quark-gluon plasma to the cases of soft static photons and hard real photons. The general framework of this study is the effective perturbative expansion based on…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Aurenche , F. Gelis , R. Kobes , H. Zaraket
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