Loop calculus for lattice gauge theories

Rodolfo Gambini, Lorenzo Leal, and Antoni Trias
Phys. Rev. D 39, 3127 – Published 15 May 1989
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Abstract

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.

  • Received 20 July 1988

DOI:https://doi.org/10.1103/PhysRevD.39.3127

©1989 American Physical Society

Authors & Affiliations

Rodolfo Gambini

  • Departamento de Física, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080-A, Venezuela

Lorenzo Leal

  • Departamento de Física Aplicada, Facultad de Ingeniería, Universidad Central de Venezuela, Apartado 47724, Caracas 1051, Venezuela

Antoni Trias

  • Departament de Matemàtiques, Universitat Politècnica de Catalunya, Escuela Técnica Superior de Enginyers de Telecomunicaciones, Barcelona 08034, Spain

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Vol. 39, Iss. 10 — 15 May 1989

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