Perturbative expansion of Chern-Simons theory

Abstract

An overview of the perturbative expansion of the Chern--Simons path integral is given. The main goal is to describe how trivalent graphs appear: as they already occur in the perturbative expansion of an analogous finite-dimensional integral, we discuss this case in detail.

This is the version published by Geometry & Topology Monographs on 22 April 2006

References in corpus (5)

• Vassiliev knot invariants and Chern-Simons perturbation theory to all orders
• Integral Expressions for the Vassiliev Knot Invariants
• Deformation Theory and the Batalin-Vilkovisky Master Equation
• The Configuration space integral for links in R^3
• Perturbative Quantum Field Theory

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• Finite states in four dimensional quantum gravity. The isotropic minisuperspace Asktekar--Klein--Gordon model
• From simplicial Chern-Simons theory to the shadow invariant II
• From simplicial Chern-Simons theory to the shadow invariant I
• Instanton representation of Plebanski gravity. Euclidean signature minisuperspace solution
• Vassiliev Invariants for Flows Via Chern-Simons Perturbation Theory
• Generalized Kodama partition functions: A preview into normalizability for the generalized Kodama states