Abstract
We compute the finite temperature effective potential in theO(N)xO(N) symmetric model for largeN in spacetime dimensionsd=4, 3, 2 and discuss the spontaneous symmetry breaking patterns. Ford=3 we find that the symmetry, if broken at zero temperature is restored at arbitrarily small nonzero temperature. Ford=4 the model is plagued by an intrinsic instability; in particular, there is no stable ground state at high temperature.
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Grabowski, M.P. The effective potential and symmetry breaking in theO(N) xO(N) model. Z. Phys. C - Particles and Fields 48, 505–509 (1990). https://doi.org/10.1007/BF01572032
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DOI: https://doi.org/10.1007/BF01572032