Published May 15, 1989 | Version v1
Journal article Metadata-only

Loop calculus for lattice gauge theories

Creators

  • 1. Departament de Matematiques, Universitat Politecnica de Catalunya, Escuela Tecnica Superior de Enginyers de Telecomunicaciones, Barcelona 08034, Spain
  • 2. Departamento de Fisica Aplicada, Facultad de Ingenieria, Universidad Central de Venezuela, Apartado 47724, Caracas 1051, Venezuela
  • 3. Departamento de Fisica, Universidad Simon Bolivar, Apartado Postal 89000, Caracas 1080-A, Venezuela (Venezuela)

Description

Hamiltonian calculations are performed using a loop-labeled basis where the full set of identities for the SU(N) gauge models has been incorporated. The loops are classified as clusterlike structures and the eigenvalue problem leads to a linear set of finite-difference equations easily amenable to numerical treatment. Encouraging results are reported for SU(2) at spatial dimension 2

Additional details

Publishing Information

Journal Title
Physical Review, D
Journal Volume
39
Journal Issue
10
Series
Phys. Rev., D.
Journal Page Range
3127-3135
ISSN
0556-2821
CODEN
PRVDA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
20080859
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EIGENVALUES; FINITE DIFFERENCE METHOD; GAUGE INVARIANCE; HAMILTONIANS; LATTICE FIELD THEORY; SCHROEDINGER EQUATION; SU-2 GROUPS; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS; WEAK-COUPLING MODEL
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; ITERATIVE METHODS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS; WAVE EQUATIONS