Perturbative expansion of Chern-Simons theory

نویسنده

  • Justin Sawon
چکیده

We give an overview of the perturbative expansion of the ChernSimons path integral. The main goal is to describe how trivalent graphs appear: as they already occur in the perturbative expansion of an analogous finite-dimensional integral, we discuss this case in detail. AMS Classification 81T18; 57M27, 58J28, 81T13

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study

In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion field, we verify that the dimension of operators of canonical dimension lower than three decreases as a function of the Chern-Simons coupling.

متن کامل

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 کامل

Perturbative Expansion of Chern-simons Theory with Non-compact Gauge Group

Naive imitation of the usual formulas for compact gauge group in quantizing three dimensional Chern-Simons gauge theory with non-compact gauge group leads to formulas that are wrong or unilluminating. In this paper, an appropriate modification is described, which puts the perturbative expansion in a standard manifestly “unitary” format. The one loop contributions (which differ from naive extrap...

متن کامل

Integral Geometry of Plane Curvesand Knot

We study the integral expression of a knot invariant obtained as the second coeecient in the perturbative expansion of Witten's Chern-Simons path integral associated with a knot. One of the integrals involved turns out to be a generalization of the classical Crofton integral on convex plane curves and it is related with invariants of generic plane curves recently deened by Arnold, with deep mot...

متن کامل

Vassiliev knot invariants and Chern-Simons perturbation theory to all orders

At any order, the perturbative expansion of the expectation values of Wilson lines in Chern-Simons theory gives certain integral expressions. We show that they all lead to knot invariants. Moreover these are finite type invariants whose order coincides with the order in the perturbative expansion. Together they combine to give a universal Vassiliev invariant. ETH-TH/95-35 ENSLAPP-L-582/96 Suppo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005