Chern-Simons Path Integrals in S2 × S1
نویسندگان
چکیده
منابع مشابه
Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
The universal perturbative invariants of rational homology spheres can be extracted from the Chern-Simons partition function by combining perturbative and nonperturbative results. We spell out the general procedure to compute these invariants, and we work out in detail the case of Seifert spaces. By extending some previous results of Lawrence and Rozansky, the Chern-Simons partition function wi...
متن کاملThe path integral for Chern-Simons quantum mechanics
The path integral representation for a system of N non-relativistic particles on the plane, interacting through a Chern-Simons gauge field, is obtained from the operator formalism. An effective interaction between the particles appears, generating the usual Aharonov-Bohm phases. The spin-statistics relation is also considered. PACS numbers: 03.65.Bz, 31.15Kb, 74.20Kk Typeset using REVTEX e-mail...
متن کاملThe Chern-Simons path integral and the quantum Racah formula
We generalize several results on Chern-Simons models on Σ × S in the so-called “torus gauge” which were obtained recently in [32] (= arXiv:math-ph/0507040) to the case of general (simplyconnected simple compact) structure groups and general link colorings. In particular, we give a nonperturbative evaluation of the Wilson loop observables corresponding to a special class of simple but non-trivia...
متن کاملNoncommutative Chern-simons Soliton
We have studied the noncommutative extension of the relativistic Chern-Simons-Higgs model, in the first non-trivial order in θ, with only spatial noncommutativity. Both Lagrangian and Hamiltonian formulations of the problem have been discussed, with the focus being on the canonical and symmetric forms of the energy-momentum tensor. In the Hamiltonian scheme, constraint analysis and the induced ...
متن کاملChern–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 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: Mathematics
سال: 2015
ISSN: 2227-7390
DOI: 10.3390/math3030843