# Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory

Kajantie K, Laine M, Rummukainen K, Schroeder Y (2003)
JHEP 304: 036.

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Journal Article | Published | English

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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.
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Kajantie K, Laine M, Rummukainen K, Schroeder Y. Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory. JHEP. 2003;304:036.
Kajantie, K., Laine, M., Rummukainen, K., & Schroeder, Y. (2003). Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory. JHEP, 304, 036.
Kajantie, K., Laine, M., Rummukainen, K., and Schroeder, Y. (2003). Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory. JHEP 304, 036.
Kajantie, K., et al., 2003. Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory. JHEP, 304, p 036.
K. Kajantie, et al., “Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory”, JHEP, vol. 304, 2003, pp. 036.
Kajantie, K., Laine, M., Rummukainen, K., Schroeder, Y.: Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory. JHEP. 304, 036 (2003).
Kajantie, K., Laine, Mikko, Rummukainen, K., and Schroeder, York. “Four loop vacuum energy density of the SU(N(c)) + adjoint Higgs theory”. JHEP 304 (2003): 036.
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arXiv hep-ph/0304048