Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-02-16
Phys.Rev. D53 (1996) 4538-4551
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, revtex v3.0
Scientific paper
10.1103/PhysRevD.53.4538
Dimensional reduction of high temperature field theories improves IR features of their perturbative treatment. A crucial question is, what three-dimensional theory is representing the full system the most faithful way. Careful investigation of the induced 3-dimensional counterterm structure of the finite temperature 4D O(N) symmetric scalar theory at 2-loop level leads to proposing the presence of non-local operators in the effective theory. On scales beyond ${\cal O}(T^{-1})$, the scaling behavior of the couplings, consequently, deviates from the usual three-dimensional scaling characteristic for superrenormalizable theories.
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