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Naively resummed perturbative approximations to the thermodynamic functions of QCD do not converge at phenomenologically relevant temperatures. Here we review recent results of a three-loop hard-thermal-loop perturbation theory calculation…

High Energy Physics - Phenomenology · Physics 2011-05-27 Michael Strickland , Jens O. Andersen , Lars E. Leganger , Nan Su

We introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner…

Quantum Physics · Physics 2013-06-11 Timo Fischer , Clemens Gneiting , Klaus Hornberger

We study a generalization of the Wigner function to arbitrary tuples of hermitian operators, which is a distribution uniquely characterized by the property that the marginals for all linear combinations of the given operators agree with the…

Quantum Physics · Physics 2020-07-09 René Schwonnek , Reinhard F. Werner

The phase-space representation for a relativistic linear oscillator in a homogeneous external field expressed through the finite-difference equation is constructed. Explicit expressions of the relativistic oscillator Wigner…

Mathematical Physics · Physics 2009-10-27 S. M. Nagiyev , G. H. Guliyeva , E. I. Jafarov

Studying the diffusion and kinetic equilibration of heavy quarks within a hot QCD medium profits from the knowledge of a coloured Lorentz force that acts on them. Starting from the spatial components of the vector current, and carrying out…

High Energy Physics - Phenomenology · Physics 2021-06-25 M. Laine

Free-space propagation can be described as a shearing of the Wigner distribution function in the spatial coordinate; this shearing is linear in paraxial approximation but assumes a more complex shape for wide-angle propagation. Integration…

Optics · Physics 2009-11-10 J. B. Almeida , V. Lakshminarayanan

The current article completes our investigation of the hard-particle interaction by determining their distribution functionals. Beginning with a short review of the perturbation expansion of the free-energy functional, we derive two…

Soft Condensed Matter · Physics 2015-02-17 Stephan Korden

We show that the high-temperature behaviour of the recently proposed confining strings reproduces exactly the correct large-N QCD result, for a large class of truncations of the long-range interaction between surface elements.

High Energy Physics - Theory · Physics 2011-07-19 M. C. Diamantini , C. A. Trugenberger

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

We derive the quantum dynamics of heavy quark systems in quark-gluon plasma as open quantum systems. The scatterings of a heavy quark with the hard medium particles give rise to Debye screened QCD force and drag force and its fluctuation.…

Nuclear Theory · Physics 2017-08-23 Yukinao Akamatsu

A scalar Wigner distribution function for describing polarized light is proposed in analogy with the treatment of spin variables in quantum kinetic theory. The formalism is applied to the propagation of circularly polarized light in…

Optics · Physics 2015-06-11 T. Hansson , E. Wallin , G. Brodin , M. Marklund

Within the framework of the effective theory for ultrasoft field modes a problem of interacting an energetic color particle with ultrasoft fluctuations in hot gluon plasma is considered. The procedure of calculation of certain effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Markova , Yu. A. Markov

We derive an exact quantum equation of motion for the photon Wigner operator in non-commutative QED, which is gauge covariant. In the classical approximation, this reduces to a simple transport equation which describes the hard thermal…

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

The Wigner function, which provides a phase-space description of quantum systems, has various applications in quantum mechanics, quantum kinetic theory, quantum optics, radiation transport and others. The concept of Wigner function has been…

High Energy Physics - Theory · Physics 2013-04-05 Stanislaw Mrowczynski

The phenomenological success of PQCD is based on processes where the effects of the color field environment on parton propagation can be eliminated or is universal. In hard diffraction and quarkonium production the PQCD subprocess is the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Paul Hoyer

Based on the correspondence between Collins diffraction formula (optical Fresnel transform) and the transformation matrix element of a three-parameters two-mode squeezing operator in the entangled state representation (Opt. Lett. 31 (2006)…

Quantum Physics · Physics 2009-01-06 Hong-yi Fan , Li-yun Hu

It is argued why thermodynamic approximations in terms of dressed propagators may, at larger coupling strength, be better behaved than perturbative results, and why in hot QCD the hard thermal loop approximation of the thermodynamic…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Peshier

Within the QED effective action approach, we study the propagation of low-frequency light at finite temperature. Starting from a general effective Lagrangian for slowly varying fields whose structure is solely dictated by Lorentz covariance…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Gies

A general expression of the hard thermal loop gluon propagator is given for a variety of abelian gauge fixing conditions (Coulomb gauge, axial gauge, covariant gauge, temporal gauge ...) The current --- current interaction energy, in…

Nuclear Theory · Physics 2022-02-23 Tamas S. Biro

Starting from the quantum Liouville equation for the density operator and applying the Weyl quantization, Wigner equations for the longitudinal and transversal optical and acoustic phonons are deduced. The equations are valid for any solid,…

Mathematical Physics · Physics 2023-01-03 Vito Dario Camiola , Giorgia Vitanza , Vittorio Romano