The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the λφ24 Euclidean (quantum) field theory

The λφ 2 4 Euclidean (quantum) field theory is studied in the multiphase region, and the following results are proven: (1) The “low temperature” expansion converges for Dirichlet (D), free (F), Neumann (N), and periodic (P), boundary conditions, and the even-point Schwinger functions for these bound...

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Bibliographic Details
Published in:Annals of physics 1979-03, Vol.118 (1), p.18-83
Main Author: Gidas, Basilis
Format: Article
Language:English
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Summary:The λφ 2 4 Euclidean (quantum) field theory is studied in the multiphase region, and the following results are proven: (1) The “low temperature” expansion converges for Dirichlet (D), free (F), Neumann (N), and periodic (P), boundary conditions, and the even-point Schwinger functions for these boundary conditions have a mass gap; (2) 〈 o〉 b = 1 2 〈o〉 + + 1 2 〈o〉 − , where b = D, F, N, P, and 〈o〉 ± are the pure states of Glimm, Jaffe, and Spencer; (3) 〈o〉 ±ξ = 〈o〉 ± for all ξ > 0, where ξ is the buondary field; (4) alternative characterizations of the pure states 〈·〉 ± are given.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(79)90234-3