We consider the U(1) Chem-Simons gauge theory defined in a general closed oriented 3-manifold M; the functional integration is used to compute the normalized partition function and the expectation values of the link holonomies. The non-perturbative path-integral is defined in the space of the gauge orbits of the connections which belong to the various inequivalent U(1) principal bundles over M; the different sectors of configuration space are labelled by the elements of the first homology group of M and are characterized by appropriate background connections. The gauge orbits of flat connections, whose classification is also based on the homology group, control the non-perturbative contributions to the mean values. The functional integration is carried out in any 3-manifold M, and the corresponding path-integral invariants turn out to be strictly related with the abelian Reshetikhin Turaev surgery invariants.
|Autori:||Guadagnini, Enore; Thuillier, F.|
|Titolo:||Path-integral invariants in abelian Chern-Simons theory|
|Anno del prodotto:||2014|
|Digital Object Identifier (DOI):||10.1016/j.nuclphysb.2014.03.009|
|Appare nelle tipologie:||1.1 Articolo in rivista|