Abelian Chern{endash}Simons theory. II. A functional integral approach

Journal Article · Thu Jan 01 00:00:00 EST 1998 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532312· OSTI ID:565707

Manoliu, M ^[1]

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1. Department of Mathematics, University of Texas, Austin, Texas, 78712 (United States)

Following Witten, [Commun. Math. Phys. {bold 21}, 351{endash}399 (1989)] we approach the Abelian quantum Chern{endash}Simons (CS) gauge theory from a Feynman functional integral point of view. We show that for 3-manifolds with and without a boundary the formal functional integral definitions lead to mathematically proper expressions that agree with the results from the rigorous construction [J. Math. Phys. {bold 39}, 170{endash}206 (1998)] of the Abelian CS topological quantum field theory via geometric quantization. {copyright} {ital 1998 American Institute of Physics.}

• OSTI ID: 565707
• Journal Information: Journal of Mathematical Physics, Vol. 39, Issue 1; Other Information: PBD: Jan 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FUNCTIONAL ANALYSIS
QUANTUM FIELD THEORY
QUANTIZATION
FEYNMAN PATH INTEGRAL
FUNCTIONALS
MATHEMATICAL MANIFOLDS
TOPOLOGY