Variational Method for Field Theories on the Lattice - INSPIRE

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Variational Method for Field Theories on the Lattice

Jun, 1984

30 pages

Published in:

Phys.Rev.D 32 (1985) 2729-2735

DOI:

10.1103/PhysRevD.32.2729

Report number:

DFTUZ-84-3

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Abstract: (APS)

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 φ2 and φ4 theories in 1+1 dimensions are offered; they exhibit a fast convergence rate. The complete low-lying energy spectrum of the φ4 theory in 1+1 dimensions is calculated.

LATTICE FIELD THEORY: HAMILTONIAN FORMALISM
FIELD THEORY: TWO-DIMENSIONAL
field theory: scalar
MASS SPECTRUM
MATHEMATICAL METHODS: VARIATIONAL

References(14)

Figures(0)

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