Scalar Field Theory at Finite Temperature in D=2+1

Gino N. J Ananos

doi:10.1063/1.2159068

paper

Scalar Field Theory at Finite Temperature in D=2+1

arXiv:hep-th/0512244 · doi:10.1063/1.2159068

Abstract

We discuss the $ϕ^{6}$ theory defined in $D = 2 + 1$ -dimensional space-time and assume that the system is in equilibrium with a thermal bath at temperature $β^{- 1}$ . We use the $1/ N$ expansion and the method of the composite operator (CJT) for summing a large set of Feynman graphs.We demonstrate explicitly the Coleman-Mermin-Wagner theorem at finite temperature.

12 pages, 1 figure. To be published in Journal Mathematical Physics, typos added