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We present an extension of the HTL resummation technique to non-equilibrium situations, starting from the real time formalism in the Keldysh representation. As an example we calculate the HTL photon self energy, from which we derive the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Carrington , Hou Defu , M. H. Thoma

We calculate the two loop hard correction to the photon self-energy in an electron-positron plasma (EPP) for arbitrary soft momenta. This provides the only missing ingredient to obtain the Hard Thermal Loop (HTL) effective Lagrangian at…

High Energy Physics - Phenomenology · Physics 2020-01-09 Stefano Carignano , Margaret E. Carrington , Joan Soto

Within the real-time formalism (RTF) of thermal field theory,we apply the hard thermal loop (HTL) resummation technique to calculating effective two-loop thermodynamic potential in quark-gluon plasma (QGP) and its renormalization. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wang Xin , Li Jiarong

Using the hard-thermal-loop (HTL) resummation in real-time formalism, we study the next-to-leading order (NLO) quark self-energy and corresponding NLO dispersion laws. In NLO, we have replaced all the propagators and vertices with the…

High Energy Physics - Phenomenology · Physics 2023-05-24 Sumit , Najmul Haque , Binoy Krishna Patra

We propose a gauge-invariant and manifestly UV finite resummation of the physics of hard thermal/dense loops (HTL/HDL) in the thermodynamics of the quark-gluon plasma. The starting point is a simple, effectively one-loop expression for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. -P. Blaizot , E. Iancu , A. Rebhan

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 complete one-loop self energies (real and imaginary parts) for photons, gluons, electrons and quarks at finite temperature are calculated numerically and compared to the results of the hard thermal loop (HTL) approximation used for the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Peshier , K. Schertler , M. H. Thoma

We study the real-time nonequilibrium dynamics in hot QED plasmas implementing a dynamical renormalization group and using the hard thermal loop (HTL) approximation. The focus is on the study of the relaxation of gauge and fermionic mean…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. -Y. Wang , D. Boyanovsky , H. J. de Vega , D. -S. Lee

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

Starting from the Phi-derivable approximation scheme at leading-loop order, the thermodynamical potential in a hot scalar theory, as well as in QED and QCD, is expressed in terms of hard thermal loop propagators. This nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre Peshier

The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop…

High Energy Physics - Phenomenology · Physics 2010-09-27 Nan Su , Jens O. Andersen , Michael Strickland

We implement the dynamical renormalization group (DRG) using the hard thermal loop (HTL) approximation for the real-time nonequilibrium dynamics in hot plasmas. The focus is on the study of the relaxation of gauge and fermionic mean fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega

We present a new perturbative formulation of non-equilibrium thermal field theory, based upon non-homogeneous free propagators and time-dependent vertices. Our approach to non-equilibrium dynamics yields time-dependent diagrammatic…

High Energy Physics - Phenomenology · Physics 2013-10-11 Peter Millington , Apostolos Pilaftsis

We study the thermodynamics of QCD in the limit of large flavor number (N_f) and test the proposal to resum the physics of hard thermal loops (HTL) through a nonperturbative expression for the entropy obtained from a Phi-derivable two-loop…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jean-Paul Blaizot , Andreas Ipp , Anton Rebhan , Urko Reinosa

The poor convergence of quantum field theory at finite temperature has been one of the main obstacles in the practical applications of thermal QCD for decades. Here we briefly review the progress of hard-thermal-loop perturbation theory…

High Energy Physics - Phenomenology · Physics 2012-04-03 Nan Su

The thermodynamical potential of relativistic gauge theories can be consistently resummed in terms of HTL propagators, which is, without being restricted to it, exemplified for the case of hot QED. The nonperturbative resummation is gauge…

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

The lecture provides an introduction to thermal field theory and its applications to the physics of the quark-gluon plasma, possibly created in relativistic heavy ion collisions. In particular the Hard Thermal Loop resummation technique,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus H. Thoma

We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Strickland , Nan Su , Jens O. Andersen

Within the Closed Time Path Formalism of Thermal Field Theory we calculate the hard photon emission rate as well as the collisional energy-loss rate for a quark-gluon plasma away from chemical equilibrium. Mass singularities are shown to be…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Baier , M. Dirks , K. Redlich

We compare our previously proposed hard-thermal-loop (HTL) resummed calculation of quark number susceptibilities using a self-consistent two-loop approximation to the quark density with a recent calculation of the same quantity at the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. -P. Blaizot , E. Iancu , A. Rebhan
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