On the CJT Formalism in Multi-Field Theories

Details On the CJT Formalism in Multi-Field Theories On the CJT Formalism in Multi-Field Theories

1996-03-20

arxiv.org/abs/hep-th/9603135v1

Nucl.Phys. B476 (1996) 255-274

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex

Scientific paper

10.1016/0550-3213(96)00374-4

The issues that arise when using the Cornwall-Jackiw-Tomboulis formalism in multi-field theories are investigated. Particular attention is devoted to the interplay between temperature effects, ultraviolet structure, and the interdependence of the gap equations. Results are presented explicitly in the case of the evaluation of the finite temperature effective potential of a theory with two scalar fields which has attracted interest as a toy model for symmetry nonrestoration at high temperatures. The lowest nontrivial order of approximation of the Cornwall-Jackiw-Tomboulis effective potential is shown to lead to consistent results, which are relevant for recent studies of symmetry nonrestoration by Bimonte and Lozano.

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