A Goldstone Theorem in Thermal Relativistic Quantum Field Theory

Published 1 Jun 2010 in math-ph and math.MP | (1006.0256v1)

Abstract: We prove a Goldstone Theorem in thermal relativistic quantum field theory, which relates spontaneous symmetry breaking to the rate of space-like decay of the two-point function. The critical rate of fall-off coincides with that of the massless free scalar field theory. Related results and open problems are briefly discussed.

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