Gradient formula for the beta-function of 2d quantum field theory

Details Gradient formula for the beta-function of 2d quantum field theory Gradient formula for the beta-function of 2d quantum field theory

2009-10-16

arxiv.org/abs/0910.3109v2

J.Phys.A43:215401,2010

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file, 31 pages, no figures; v.2 referencing corrected in the introduction

Scientific paper

10.1088/1751-8113/43/21/215401

We give a non-perturbative proof of a gradient formula for beta functions of two-dimensional quantum field theories. The gradient formula has the form \partial_{i}c = - (g_{ij}+\Delta g_{ij} +b_{ij})\beta^{j} where \beta^{j} are the beta functions, c and g_{ij} are the Zamolodchikov c-function and metric, b_{ij} is an antisymmetric tensor introduced by H. Osborn and \Delta g_{ij} is a certain metric correction. The formula is derived under the assumption of stress-energy conservation and certain conditions on the infrared behaviour the most significant of which is the condition that the large distance limit of the field theory does not exhibit spontaneously broken global conformal symmetry. Being specialized to non-linear sigma models this formula implies a one-to-one correspondence between renormalization group fixed points and critical points of c.

Affiliated with

Also associated with

No associations

Rating

Gradient formula for the beta-function of 2d quantum field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gradient formula for the beta-function of 2d quantum field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gradient formula for the beta-function of 2d quantum field theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123926