منابع مشابه
Chern–Simons Perturbation Theory
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...
متن کاملChern - Simons - Proca Theory
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...
متن کاملPerturbative Chern-simons Theory
We present the perturbation theory of the Chern-Simons gauge eld theory and prove that to second order it indeed gives knot invariants. We identify these invariants and show that in fact we get a previously unknown integral formula for the Arf invariant of a knot, in complete agreement with earlier non-perturbative results of Witten. We outline our expectations for the behavior of the theory be...
متن کاملSuperconformal Chern-Simons Theory
We study a class of classical solutions of three-dimensional N = 6 superconformal Chern-Simons theory coupled with U(N)×U(N) bi-fundamental matter fields. Especially, time evolutions of fuzzy spheres are discussed for both massless and massive cases. For the massive case, there are a variety of solutions having different behaviors according to the value of the mass. In addition to the time-depe...
متن کاملChern–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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1997
ISSN: 1080-6377
DOI: 10.1353/ajm.1997.0021