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The conventional weak-coupling expansion for the pressure of a hot plasma shows no sign of convergence unless the the coupling constant $g$ is tiny. In this talk, I discuss screened perturbation theory (SPT) which is a reorganization of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jens O. Andersen

The variational Hamiltonian approach to QCD in Coulomb gauge is reviewed and the essential results obtained in recent years are summarized. First the results for the vacuum sector are discussed, with a special emphasis on the mechansim of…

High Energy Physics - Theory · Physics 2016-11-23 H. Reinhardt , D. Campagnari , J. Heffner , M. Quandt , P. Vastag

Nonperturbative inequalities constrain the thermodynamic pressure of Quantum Chromodynamics (QCD) with its phase-quenched version, a Sign-Problem-free theory amenable to lattice treatment. In the perturbative regime with a small QCD…

High Energy Physics - Phenomenology · Physics 2024-12-18 Pablo Navarrete , Risto Paatelainen , Kaapo Seppänen

We compute the pressure of the standard model at high temperatures in the symmetric phase to three loops, or to O(g^5) in all coupling constants. We find that the terms of the perturbative expansion in the SU(2) + Higgs sector decrease…

High Energy Physics - Phenomenology · Physics 2011-01-13 A. Gynther , M. Vepsalainen

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

High Energy Physics - Lattice · Physics 2015-06-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

Identifying the atomic structure and properties of solid hydrogen under high pressures is a long-standing problem of high-pressure physics with far-reaching significance in planetary and materials science. Determining the…

Materials Science · Physics 2020-04-16 Ke Liao , Xin-Zheng Li , Ali Alavi , Andreas Grüneis

Following the original idea of Debye, we define and extract a gauge-invariant screening mass from the complex static in-medium heavy-quark potential $V_{Q\bar{Q}}$, recently obtained from lattice QCD. To this end we derive a field…

High Energy Physics - Phenomenology · Physics 2017-03-08 Yannis Burnier , Alexander Rothkopf

The one-loop QCD heavy quark potential is computed to order v^2 in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on |p'…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aneesh V. Manohar , Iain W. Stewart

During the first part of this review we will focus on the thermodynamics of $SU(N)$ gauge theories at finite temperature. We will present results from a calculation of electric and magnetic screening masses for the gluons, discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

We present a new method for the evaluation of the perturbative expansion of the QCD pressure which is valid at all values of the temperature and quark chemical potentials in the deconfined phase and which we work out up to and including…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Ipp , K. Kajantie , A. Rebhan , A. Vuorinen

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

We compute two-loop helicity amplitudes in QCD for diphoton production through quark- and gluon-initiated channels, accounting for a massive internal quark loop by keeping its full mass dependence. Using physical projectors, we directly…

High Energy Physics - Phenomenology · Physics 2025-02-06 Taushif Ahmed , Amlan Chakraborty , Ekta Chaubey , Mandeep Kaur

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

It is argued that in hot gauge field theories, "Hard Thermal Loops" leading order calculations call for a definite sequence of angular averages and discontinuity (or Imaginary part prescription) operations, and run otherwise into incorrect…

High Energy Physics - Phenomenology · Physics 2015-06-25 Thierry Grandou

We introduce the running coupling constant of QCD in the high temperature phase, $\tilde{g}^2(T)$, through a renormalization scheme where the dimensional reduction is optimal at the one-loop level. We then calculate the relevant scale…

High Energy Physics - Phenomenology · Physics 2010-11-01 Suzhou Huang , Marcello Lissia

We calculate $\gamma_l(0)$, the damping rate for longitudinal on-shell gluons with zero momentum in hot QCD using the hard-thermal-loop (htl) scheme. We find it to be divergent in the infrared, which means that in this scheme $\gamma_l(0)$…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Abada , O. Azi

We derive an effective classical theory for real-time SU($N$) gauge theories at high temperature. By separating off and integrating out quantum fluctuations we obtain a 3D classical path integral over the initial fields and conjugate…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. J. Nauta , Ch. G. van Weert

The Debye mass sets a scale for the screening of static charges and the scattering of fast charges within a gauge plasma. Inspired by its potential cosmological applications, we determine a QCD Debye mass at 2-loop order in a broad…

High Energy Physics - Phenomenology · Physics 2020-02-03 M. Laine , P. Schicho , Y. Schroder

We compute the simplest hard thermal loops for a spatial 't Hooft loop in the deconfined phase of a SU(N) gauge theory. We expand to quadratic order about a constant background field A_0 = Q/g, where Q is a diagonal, color matrix and g is…

High Energy Physics - Phenomenology · Physics 2020-09-04 Yoshimasa Hidaka , Robert D. Pisarski

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
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