Variational method for field theories on the lattice and the spectrum of the phi/sup 4/ theory in 1+1 dimensions

Journal Article · Fri Nov 15 00:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.2729· OSTI ID:6197738

Abad, J; Esteve, J G; Pacheco, A F

An approximation technique to construct the low-lying energy eigenstates of any bosonic field theory on the lattice is proposed. It is based on the SLAC blocking method, after performing a finite-spin approximation to the individual degrees of freedom of the problem. General expressions for any polynomial self-interacting theory are given. Numerical results for phi/sup 2/ and phi/sup 4/ theories in 1+1 dimensions are offered; they exhibit a fast convergence rate. The complete low-lying energy spectrum of the phi/sup 4/ theory in 1+1 dimensions is calculated.

• Research Organization: Departamento de Fisica Teorica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, Spain
• OSTI ID: 6197738
• Journal Information: Phys. Rev. D; (United States), Vol. 32:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
VARIATIONAL METHODS
PHI4-FIELD THEORY
EIGENSTATES
ENERGY SPECTRA
GAUGE INVARIANCE
HAMILTONIANS
MATRIX ELEMENTS
MONTE CARLO METHOD
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM NUMBERS
RENORMALIZATION
SPIN
ANGULAR MOMENTUM
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPECTRA
645400* - High Energy Physics- Field Theory