Glimm--Jaffe--Spencer expansion for the classical boundary conditions and coexistence of phases in the lambdaphi/sub 2//sup 4/ Euclidean (quantum) field theory

Journal Article · Thu Mar 01 00:00:00 EST 1979 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(79)90234-3· OSTI ID:6246493

Gidas, B

The lambdaphi/sub 2//sup 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) <0>/sup b/= 1/2<0>/sup +/+1/2<0>/sup -/, where b=D, F, N, P, and <0>/sup + -/ are the pure states of Glimm, Jaffe, and Spencer; (3) <0>/sup plus-or-minusxi/=<0>/sup + -/ for all xi>O, where xi is the boundary field; (4) alternative characterizations of the pure states /sup + -/ are given.

• Research Organization: Department of Mathematics, Rockefeller University, New York, New York 10021
• OSTI ID: 6246493
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 118:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHI4-FIELD THEORY
BOUNDARY CONDITIONS
PHASE TRANSFORMATIONS
ASYMPTOTIC SOLUTIONS
ISING MODEL
SERIES EXPANSION
SPIN
STATISTICAL MECHANICS
ANGULAR MOMENTUM
CRYSTAL MODELS
FIELD THEORIES
MATHEMATICAL MODELS
MECHANICS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
645400* - High Energy Physics- Field Theory