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arXiv 1997-05-23 DOI 10.1142/S0217732399000304 0 views

Gap equation in scalar field theory at finite temperature

Mukherjee, Krishnendu

Original · EN

We investigate the two-loop gap equation for the thermal mass of hot massless g²ϕ⁴ theory and find that the gap equation itself has a non-zero finite imaginary part. This indicates that it is not possible to find the real thermal mass as a solution of the gap equation beyond g² order in perturbation theory. We have solved the gap equation and obtain the real and the imaginary part of the thermal mass which are correct up to g⁴ order in perturbation theory.

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