Massless picture, massive picture, and symmetry in the Gaussian renormalization group

Details Massless picture, massive picture, and symmetry in the Gaussian renormalization group Massless picture, massive picture, and symmetry in the Gaussian renormalization group

1998-02-24

arxiv.org/abs/hep-th/9802171v1

JHEP 9810:005,1998

Physics

High Energy Physics

High Energy Physics - Theory

17 pages LaTeX2e

Scientific paper

10.1088/1126-6708/1998/10/005

We consider renormalization groups of transformations composed of a Gaussian convolution and a field dilatation. As an example, we consider perturbations of a single component real Euclidean free field $\phi$ with covariance $(-\bigtriangleup)^{-1+\frac{\epsilon}{2}}$. We show that the renormalization group admits two equivalent formulations called massless picture and massive picture respectively. We then show in the massive picture that the renormalization group has a symmetry. The symmetry consists of global scale transformations composed with certain Gaussian convolutions. We translate the symmetry back to the massless picture. The relation between the symmetry and the notion of an anomalous dimension is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Massless picture, massive picture, and symmetry in the Gaussian renormalization group 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 Massless picture, massive picture, and symmetry in the Gaussian renormalization group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Massless picture, massive picture, and symmetry in the Gaussian renormalization group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148470