A note on Gribov copies in 3D Chern-Simons theory

نویسنده

  • F. Canfora
چکیده

In the present paper, using powerful tools of harmonic maps and integrable systems, all the Gribov copies in the Coulomb gauge in 3D Chern-Simons theory are constructed. This result strongly suggets that the so-called uniton number (known in the theory of harmonic maps) could be related to the well known shift of the Chern-Simons coupling constant. The Gribov copies of the vacuum in 3D QCD in the Coulomb gauge are briefly analyzed.

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

Complex Monopoles in the Path Integral *

Complex monopole configurations dominate in the path integral in the Georgi-Glashow-Chern-Simons model and disorder the Higgs vacuum. No cancellation is expected among Gribov copies of the monopole configurations. The Georgi-Glashow model is a SO(3) gauge theory with a triplet Higgs scalar field h in which the gauge symmetry is spontaneously broken to U (1) by the Higgs mechanism. The vacuum is...

متن کامل

Prepared for submission to JHEP A 3 d - 3 d appetizer

We test the 3d-3d correspondence for theories that are labelled by Lens spaces. We find a full agreement between the index of the 3d N = 2 “Lens space theory” T [L(p, 1)] and the partition function of complex Chern-Simons theory on L(p, 1). In particular, for p = 1, we show how the familiar S3 partition function of Chern-Simons theory arises from the index of a free theory. For large p, we find...

متن کامل

Moduli spaces of Chern-Simons quiver gauge theories

We analyse the classical moduli spaces of supersymmetric vacua of 3d N = 2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N = 1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fol...

متن کامل

A note on Noncommutative Chern-Simons Theories

The three dimensional Chern-Simons theory on the noncommutative plane is considered. We show that the action is invariant under arbitrary (finite) gauge transformations and hence, we can relax the level quantization condition which we have in the usual (commutative) Chern-Simons theories. We also briefly discuss the case of the noncommutative torus.

متن کامل

Chern - Simons Theory and S - duality

We study S-dualities in analytically continued SL(2) Chern-Simons theory on a 3-manifold M . By realizing Chern-Simons theory via a compactification of a 6d five-brane theory on M , various objects and symmetries in Chern-Simons theory become related to objects and operations in dual 2d, 3d, and 4d theories. For example, the space of flat SL(2,C) connections on M is identified with the space of...

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 2008