Resummation of phi^4 free energy up to an arbitrary order

Details Resummation of phi^4 free energy up to an arbitrary order Resummation of phi^4 free energy up to an arbitrary order

1997-03-25

arxiv.org/abs/hep-ph/9703414v2

Phys.Lett. B404 (1997) 291-301

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, latex, 3 figures using latex, more discussion below (4.14), 3 Ref's added, slight changes in notation

Scientific paper

10.1016/S0370-2693(97)00563-7

The consistency condition, which guarantees a well organized small-coupling asymptotic expansion for the thermodynamics of massless $\phi^4$-theory, is generalized to any desired order of the perturbative treatment. Based on a strong conjecture about forbidden two-particle reducible diagrams, this condition is derived in terms of functions of four-momentum in place of the common toy mass in previous treatments. It has the form of a set of gap equations and marks the position in the space of these functions at which the free energy is extremal.

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