Transverse lattice construction of 2 + 1 Chern-Simons theory

Journal Article · Sat Mar 07 00:00:00 EST 1992 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732392000574· OSTI ID:5556010

Griffin, P A ^[1]

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1. Theory Group, M.S. 106, Fermi National Accelerator Lab., Batavia, IL (US)

This paper reports that a transverse lattice model, with one lattice dimension and two continuum dimensions, is constructed by introducing Wess-Zumino terms into the gauged (1 + 1)-dimensional nonlinear sigma model action of the link fields. Its continuum limit is the pure Chern-Simons gauge theory in 2 + 1 dimensions. The lattice model is quantized, and some simple expectation values for Wilson loops on M{sup 2} {times} S{sup 1} are evaluated. This construction provides an explicit connection between Chern-Simons theory and the gauged Wess-Zumino-Witten model.

• OSTI ID: 5556010
• Journal Information: Modern Physics Letters A; (United States), Vol. 7:7; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
LATTICE FIELD THEORY
NONLINEAR PROBLEMS
GAUGE INVARIANCE
QUANTIZATION
SIGMA MODEL
THREE-DIMENSIONAL CALCULATIONS
WILSON LOOP
BOSON-EXCHANGE MODELS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)