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Cluster expansion for lattice gauge theories with fermions

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.523772· OSTI ID:5086598
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A cluster expansion is constructed for Euclidean lattice gauge theories including fermions. For sufficiently small values of the bare qauge coupling constant g/sup -2/ and the fermion propagation constant k, we prove the existence of gauge invariant infinite volume vacuum expectation values, convergence of Wilson's strong coupling expansion, and an inequality related to quark confinement.
Research Organization:
Physics Department, Indiana University, Bloomington, Indiana 47401
OSTI ID:
5086598
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:5; ISSN JMAPA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
CLUSTER EXPANSION
COMPOSITE MODELS
CONFINEMENT
EUCLIDEAN SPACE
FIELD THEORIES
GAUGE INVARIANCE
HILBERT SPACE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
RIEMANN SPACE
SPACE