Finite temperature phase transitions in quantum field theory

O'Connor, Denjoe and Stephens, C. R. and Freire, F. (1992) Finite temperature phase transitions in quantum field theory. (Preprint)

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Abstract

Using the formalism developed in [1] we discuss finite temperature quantum field theory in the high temperature regime T >> m_T where m_T represents a generic finite temperature mass in the theory. In particular we consider λϕ⁴ theory in four dimensions showing perturbatively that it has a non-trivial fixed point at finite temperature, the relevant anomalous dimensions near the second-order phase transition being three-dimensional ones. We emphasize the importance of having renormalization schemes and a renormalization group (RG) equation that can explicitly take into account the fact that the degrees of freedom of a theory may be qualitatively different at different scales.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:13
Last Modified: 19 Jul 2018 12:57
URI: http://dair.dias.ie/id/eprint/739

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