Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-13
Phys.Rev. D70 (2004) 085002
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 9 figures; v2: references added, some changes in the text
Scientific paper
10.1103/PhysRevD.70.085002
We study the O(N) linear sigma model in 1+1 dimensions. We use the 2PI formalism of Cornwall, Jackiw and Tomboulis in order to evaluate the effective potential at finite temperature. At next-to-leading order in a 1/N expansion one has to include the sums over "necklace" and generalized "sunset" diagrams. We find that - in contrast to the Hartree approximation - there is no spontaneous symmetry breaking in this approximation, as to be expected for the exact theory. The effective potential becomes convex throughout for all parameter sets which include N=4,10,100, couplings lambda=0.1 and 0.5, and temperatures between 0.2 and 1. The Green's functions obtained by solving the Schwinger-Dyson equations are enhanced in the infrared region. We also compare the effective potential as function of the external field phi with those obtained in various other approximations.
Baacke Jurgen
Michalski Stefan
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