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Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory

K. Kajantie·M. Laine·K. Rummukainen·Y. Schroder
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Abstract

We compute the dimensionally regularised four-loop vacuum energy density of the SU(N_c) gauge + adjoint Higgs theory, in the disordered phase. ``Scalarisation'', or reduction to a small set of master integrals of the type appearing in scalar field theories, is carried out in d dimensions, employing general partial integration identities through an algorithm developed by Laporta, while the remaining scalar integrals are evaluated in d = 3 - 2εdimensions, by expanding in ε<< 1 and evaluating a number of coefficients. The results have implications for the thermodynamics of finite temperature QCD, allowing to determine perturbative contributions of orders O(g^6 ln(1/g)), O(g^6) to the pressure, while the general methods are applicable also to studies of critical phenomena in QED-like statistical physics systems.

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K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder. 2003-04-04. Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory. https://doi.org/10.1088/1126-6708%2F2003%2F04%2F036

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