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We show that the high temperature behavior of non-commutative QED may be simply obtained from Boltzmann transport equations for classical particles. The transport equation for the charge neutral particle is shown to be characteristically…

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

Classical transport theory for colored particles is reviewed and used to derive the hard thermal loops of QCD. A perturbative study of the non-Abelian transport equations that preserves their gauge symmetry is used to compute the induced…

High Energy Physics - Phenomenology · Physics 2008-02-03 Cristina Manuel

The equivalence between thermal field theory and the Boltzmann transport equation is investigated at higher orders in the context of quantum electrodynamics. We compare the contributions obtained from the collisionless transport equation…

High Energy Physics - Theory · Physics 2015-03-04 F. T. Brandt , R. B. Ferreira , J. F. Thuorst

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. F. Kelly , Q. Liu , C. Lucchesi , C. Manuel

We present results for the equation of state upto previously unreachable, high temperatures. Since the temperature range is quite large, a comparison with perturbation theory can be done directly.

High Energy Physics - Lattice · Physics 2008-11-26 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

These days, as high energy particle colliders become unavailable for testing speculative theoretical ideas, physicists are looking to other environments that may provide extreme conditions where theory confronts physical reality. One such…

High Energy Physics - Theory · Physics 2016-09-06 R. Jackiw

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

We present a derivation of a Boltzmann equation for the QCD plasma, starting from the quantum field equations. The derivation is based on a gauge covariant gradient expansion which takes consistently into account all possible dependences on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jean-Paul Blaizot , Edmond Iancu

In high temperature QCD, the perturbation theory is plagued with infrared divergences which reflect long-range non-perturbative phenomena. I argue that it is possible to study such phenomena within a classical thermal field theory which can…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

We find a near detailed balance solution to the relativistic Boltzmann equation under the relaxation time approximation with a collision term which differs from the Anderson-Witting model and is dependent on the stationary observer. Using…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Song Liu , Xin Hao , Shaofan Liu , Liu Zhao

A new thermodynamic state function is introduced to describe the thermodynamics relevant for the mean transverse momentum fluctuations of charged particles in heavy-ion collisions, which allows us to compute the temperature fluctuations of…

High Energy Physics - Phenomenology · Physics 2026-04-24 Jinhui Chen , Wei-jie Fu , Shi Yin , Chunjian Zhang

Classical transport theory is employed to analyze the hot quark-gluon plasma at the leading order in the coupling constant. A condition on the (covariantly conserved) color current is obtained. {}From this condition, the generating…

High Energy Physics - Phenomenology · Physics 2011-05-05 P. F. Kelly , Q. Liu , C. Lucchesi , C. Manuel

By using the Boltzmann equation describing the relaxation of colour excitations in the QCD plasma, we obtain effective amplitudes for the ultrasoft colour fields carrying momenta of order $g^2 T$. These amplitudes are of the same order in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jean-Paul Blaizot , Edmond Iancu

A recently proposed generating functional allows the construction of the full set of n-point Green functions in QCD at high temperature and at distances larger than 1/gT. One may then learn how the system maintains its thermal equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Guerin

We present preliminary results towards a fully non-perturbative determination of the equation of state of QCD at very high-temperatures, $T\approx 3-80\,{\rm GeV}$. The key ingredient is the lattice formulation of QCD in a moving reference…

High Energy Physics - Lattice · Physics 2019-04-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Transport theory is an efficient approach to derive an effective theory for the soft modes of QCD at high temperature. It is known that the leading order operators of this theory can be obtained from (semi-classical) kinetic equations of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Cristina Manuel

We argue that multi-particle production in high energy hadron and nuclear collisions can be considered as proceeding through the production of gluons in the background classical field. In this approach we derive the gluon spectrum…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dmitri Kharzeev , Eugene Levin , Kirill Tuchin

High temperature expansion of the partition function for a particle on a segment of a line is found to show an example of the quantum system that thermodynamical functions do not approach the thermodynamical functions of its classical…

Physics Education · Physics 2007-05-23 Michal Demetrian

The Equation of State of Quantum Chromodynamics with $N_f=3$ flavours is determined non-perturbatively with a precision of about $0.5\%-1.0\%$ in the range of temperatures between 3 GeV and 165 GeV. The computation is carried out by…

High Energy Physics - Lattice · Physics 2025-10-01 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Mandl , Dénes Sexty , Daniel Unterhuber
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