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Phys. Rev. D 66, 125007 (2002) [8 pages]

Link invariants from classical Chern-Simons theory

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Lorenzo Leal*,†
Grupo de Campos y Partículas, Departamento de Física, Facultad de Ciencias, Universidad Central de Venezuela, AP 47270, Caracas 1041-A, Venezuela
Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco 28049, Madrid, Spain

Received 11 May 2002; published 19 December 2002

Taking as the starting point a perturbative study of the classical equations of motion of the non-Abelian Chern-Simons theory with nondynamical sources, we obtain analytical expressions for link invariants. In order to present these expressions in a manifestly diffeomorphism-invariant form, we introduce a set of differential forms associated with submanifolds in R3 that are metric independent, and that allow us to consider the link invariants as a kind of surface-dependent diffeomorphism invariant that presents a certain Abelian gauge symmetry.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.125007
DOI:
10.1103/PhysRevD.66.125007
PACS:
11.15.-q, 02.10.Kn, 03.50.Kk

*Electronic address: lleal@fisica.ciens.ucv.ve

Permanent address.