Variational methods in supersymmetric lattice field theory: The vacuum sector

Journal Article · Tue Dec 15 00:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.3788· OSTI ID:5582864

Duncan, A; Meyer-Ortmanns, H; Roskies, R

The application of variational methods to the computation of the spectrum in supersymmetric lattice theories is considered, with special attention to O(N) supersymmetric sigma models. Substantial cancellations are found between bosonic and fermionic contributions even in approximate Ansa$uml: tze for the vacuum wave function. The nonlinear limit of the linear sigma model is studied in detail, and it is shown how to construct an appropriate non-Gaussian vacuum wave function for the nonlinear model. The vacuum energy is shown to be of order unity in lattice units in the latter case, after infinite cancellations.

• Research Organization: Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
• OSTI ID: 5582864
• Journal Information: Phys. Rev. D; (United States), Vol. 36:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
SUPERSYMMETRY
VARIATIONAL METHODS
BOSONS
ENERGY DENSITY
FERMIONS
HAMILTONIANS
MASS
O GROUPS
SIGMA MODEL
VACUUM STATES
WAVE FUNCTIONS
DYNAMICAL GROUPS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
645300 - High Energy Physics- Particle Invariance Principles & Symmetries