Titlebook: Basics of Thermal Field Theory; A Tutorial on Pertur Mikko Laine,Aleksi Vuorinen Book 2016 Springer International Publishing Switzerland 20

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Fermions,oncept of Grassmann variables satisfying antiperiodic boundary conditions. The corresponding Matsubara frequencies are introduced, the partition function is evaluated in the low and high-temperature expansions, and the structures of these expansions are compared with those of a scalar field theory.

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Gauge Fields,chinery is employed for defining and computing a thermal gluon mass, also known as a Debye mass. Finally, the free energy density of non-Abelian black-body radiation is determined up to third order in the coupling constant, revealing a highly non-trivial structure in this asymptotic series.

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Basics of Thermal Field Theory978-3-319-31933-9Series ISSN 0075-8450 Series E-ISSN 1616-6361

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P. Huber,A. M. Jensen,L. O. Jepsen,K. Jensenion for the partition function of an interacting scalar field. The issues of ultraviolet and infrared divergences are brought up. These problems are cured through renormalization and resummation, respectively.

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P. Huber,K. Jensen,R. M. Shapiroated in the standard canonical formalism. An imaginary-time path integral representation is subsequently developed for the partition function, the path integral is evaluated in momentum space, and the earlier result is reproduced upon a careful treatment of the zero-mode contribution. Finally, the c