ISSN:
1573-0530
Keywords:
Yang–Mills
;
Chern–Simons
;
quantum field theory
;
renormalization
;
perturbation theory
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract A rigorous algebraic proof of the full finiteness in all orders of perturbation theory is given for the Yang–Mills–Chern–Simons theory in a general three-dimensional Riemannian manifold. We show the validity of a trace identity, playing the role of a local form of the Callan–Symanzik equation, in all loop orders, which yields the vanishing of the β-functions associated to the topological mass and gauge coupling constant as well as the anomalous dimensions of the fields.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007595121742
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