Existence of a second-order phase transition in a two-dimensionalfield theory
- 15 May 1976
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 13 (10), 2778-2788
- https://doi.org/10.1103/physrevd.13.2778
Abstract
We study the stability of the vacuum in a two-dimensional field theory with a fixed term and a variable coupling term. We make the theory finite by normal-ordering the Hamiltonian with respect to a fixed mass. As the coupling strength increases, we can show that the system will undergo a second-order phase transition from a normal vacuum to an abnormal vacuum. There is no contradiction between the existence of a second-order transition in the absence of an external field and the Simon-Griffiths theorems which forbid any possible phase transition in the presence of an external field.
Keywords
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