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APS » Journals » Phys. Rev. D » Volume 39 » Issue 10
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Phys. Rev. D 39, 3127–3135 (1989)

Loop calculus for lattice gauge theories

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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

Received 20 July 1988; published in the issue dated 15 May 1989

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.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.3127
DOI:
10.1103/PhysRevD.39.3127
PACS:
11.15.Ha
 
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