Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-04-04
JHEP 0304 (2003) 036
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages
Scientific paper
10.1088/1126-6708/2003/04/036
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 - 2\epsilon dimensions, by expanding in \epsilon << 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.
Kajantie K.
Laine Mikko
Rummukainen Kari
Schroder York
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