Abstract
We discuss the φ6 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 (Cornwall, Jackiw, and Tomboulis) for summing a large set of Feynman graphs. We demonstrate explicitly the Coleman-Mermin-Wagner theorem at finite temperature.
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