
arXiv: 2002.10188
handle: 11250/3042036
In this review article, we discuss the current status and future prospects of perturbation theory as a means of studying the equilibrium thermodynamic and near-equilibrium transport properties of deconfined QCD matter. We begin with a brief introduction to the general topic, after which we review in some detail the foundations and modern techniques of the real- and imaginary-time formalisms of thermal field theory, covering e.g. the different bases used in the real-time formalism and the resummations required to deal with soft and collinear contributions. After this, we discuss the current status of applications of these techniques, including topics such as electromagnetic rates, transport coefficients, jet quenching, heavy quarks and quarkonia, and the Equations of State of hot quark-gluon plasma as well as cold and dense quark matter. Finally, we conclude with our view of the future directions of the field, i.e. how we anticipate perturbative calculations to contribute to our collective understanding of strongly interacting matter in the coming years.
137 pages, 44 figures. v4: Version published in Physics Reports; two typographical errors corrected from v3
High Energy Physics - Theory, deconfinement, real-time formalism, Nuclear Theory, review, Nuclear physics, collinear, field theory: thermal, FOS: Physical sciences, Thermal field theory, Perturbation theory, 530, Perturbative methods of renormalization applied to problems in quantum field theory, Nuclear Theory (nucl-th), thermodynamics, High Energy Physics - Phenomenology (hep-ph), Constructive quantum field theory, Statistical thermodynamics, quantum chromodynamics, transport theory, heavy quark, Quantum Chromodynamics, imaginary-time formalism, equation of state, quark gluon: plasma, Real-time formalism, quantum chromodynamics: matter, perturbation theory, quark: matter, Transport processes in time-dependent statistical mechanics, VDP::Matematikk og Naturvitenskap: 400, Imaginary-time formalism, Strong interaction, including quantum chromodynamics, thermal field theory, [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph], High Energy Physics - Phenomenology, electromagnetic, High Energy Physics - Theory (hep-th), resummation, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], Thermal quantum field theory, jet: quenching, quarkonium
High Energy Physics - Theory, deconfinement, real-time formalism, Nuclear Theory, review, Nuclear physics, collinear, field theory: thermal, FOS: Physical sciences, Thermal field theory, Perturbation theory, 530, Perturbative methods of renormalization applied to problems in quantum field theory, Nuclear Theory (nucl-th), thermodynamics, High Energy Physics - Phenomenology (hep-ph), Constructive quantum field theory, Statistical thermodynamics, quantum chromodynamics, transport theory, heavy quark, Quantum Chromodynamics, imaginary-time formalism, equation of state, quark gluon: plasma, Real-time formalism, quantum chromodynamics: matter, perturbation theory, quark: matter, Transport processes in time-dependent statistical mechanics, VDP::Matematikk og Naturvitenskap: 400, Imaginary-time formalism, Strong interaction, including quantum chromodynamics, thermal field theory, [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph], High Energy Physics - Phenomenology, electromagnetic, High Energy Physics - Theory (hep-th), resummation, [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], Thermal quantum field theory, jet: quenching, quarkonium
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