منابع مشابه
Chern–Simons Perturbation Theory II
In a previous paper [1], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern–Simons quantum field theory on a general 3-manifold M is finite. We conjectured (and proved for the case of 2-loops) that, after adding counterterms of the expected form, the terms in the perturbation theory define topological invariants. In this pa...
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We study the perturbation theory for three dimensional Chern–Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the Lorentz gauge has a superspace formulation. The basic properties of the propagator and the Feynman rules are written in a precise manner in the language of di...
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We show that Chern-Simons gauge theory with appropriate cutoffs is equivalent, term by term in perturbation theory, to a Fermionic theory with a nonlocal interaction term. When an additional cutoff is placed on the Fermi fields, this Fermionic theory gives rise to a convergent perturbation expansion. This leads us to conjecture that Chern-Simons gauge theory also gives rise to convergent pertur...
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Chern-Simons Theory with gauge group SU(N) is analyzed from a perturbation theory point of view. The vacuum expectation value of the unknot is computed up to order g6 and it is shown that agreement with the exact result by Witten implies no quantum correction at two loops for the two-point function. In addition, it is shown from a perturbation theory point of view that the framing dependence of...
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We quantize the Chern-Simons-Proca theory in three dimensions by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class by introducing new fields in the extended phase space. As results, we obtain simultaneously the Stückelberg scalar term, which is needed to cancel the gauge anomaly due to the mass term, and the new type of Wess...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1994
ISSN: 0022-040X
DOI: 10.4310/jdg/1214454681