Exact Computations in Topological Abelian Chern-Simons and BF Theories

Author

Mathieu, Philippe

Source

Advances in High Energy Physics

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-08-30

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Physics

Abstract EN

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.

American Psychological Association (APA)

Mathieu, Philippe. 2017. Exact Computations in Topological Abelian Chern-Simons and BF Theories. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1122007

Modern Language Association (MLA)

Mathieu, Philippe. Exact Computations in Topological Abelian Chern-Simons and BF Theories. Advances in High Energy Physics No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1122007

American Medical Association (AMA)

Mathieu, Philippe. Exact Computations in Topological Abelian Chern-Simons and BF Theories. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1122007

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1122007