Resummation of phi^4 free energy up to an arbitrary order
High Energy Physics - Phenomenology
2009-10-30 v2
Abstract
The consistency condition, which guarantees a well organized small-coupling asymptotic expansion for the thermodynamics of massless -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.
Keywords
Cite
@article{arxiv.hep-ph/9703414,
title = {Resummation of phi^4 free energy up to an arbitrary order},
author = {Jens Reinbach and Hermann Schulz},
journal= {arXiv preprint arXiv:hep-ph/9703414},
year = {2009}
}
Comments
15 pages, latex, 3 figures using latex, more discussion below (4.14), 3 Ref's added, slight changes in notation