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

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

2005-12-19

arxiv.org/abs/hep-th/0512244v2

J.Math.Phys. 47 (2006) 012301

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.2159068

We discuss the $\phi^6 $ theory defined in $D=2+1$-dimensional space-time and
assume that the system is in equilibrium with a thermal bath at temperature
$\beta^{-1}$. 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.

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