Convergence of lattice approximations and infinite volume limit in the (lambdaphi/sup 4/-sigmaphi/sup 2/-. mu. phi)/sub 3/ field theory

Journal Article · Mon Feb 28 23:00:00 EST 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523277· OSTI ID:7325457

Park, Y M

By unified method we prove the convergence of the lattice approximation of the (lambdaphi/sup 4/-sigmaphi/sup 2/-..mu..phi)/sub 3/ field model with periodic, Dirichlet and Neumann boundary conditions in a finite box. This then allows us to take the inifinite volume limit of the Dirichlet states by Nelson's monotonicity argument. The model under consideration satisfies all the Wightman axioms except possibly the uniqueness of the vacuum for ..mu..=0 and the mass gap.

• Research Organization: Department of Theoretical Physics, University of Bielefeld, Germany
• OSTI ID: 7325457
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 18:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
DIRICHLET PROBLEM
EQUATIONS
FIELD THEORIES
NEUMANN SERIES
QUANTUM FIELD THEORY
SCHWINGER FUNCTIONAL EQUATIONS
SERIES EXPANSION
WIGHTMAN FIELD THEORY