Exact Computations in Topological Abelian Chern-Simons and BF Theories

Exact Computations in Topological Abelian Chern-Simons and BF Theories

We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional i...

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Veröffentlicht in:Advances in High Energy Physics 2017-01, Vol.2017 (2017), p.1-6
1. Verfasser: Mathieu, Philippe
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Cytokinins
Functions (mathematics)
High Energy Physics - Theory
Manifolds (mathematics)
Numbers
Physics
Quantum field theory
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Zusammenfassung:We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well known to the mathematicians.
ISSN:1687-7357
1687-7365
DOI:10.1155/2017/2878949