Derivative Expansion of the Exact Renormalization Group

Details Derivative Expansion of the Exact Renormalization Group Derivative Expansion of the Exact Renormalization Group

1994-03-22

arxiv.org/abs/hep-ph/9403340v2

Phys.Lett. B329 (1994) 241-248

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages (with figures), Plain TeX, uses psfig, 4 postscript figures appended as uuencoded compressed tar file, SHEP 93/94-16,

Scientific paper

10.1016/0370-2693(94)90767-6

The functional flow equations for the Legendre effective action, with respect to changes in a smooth cutoff, are approximated by a derivative expansion; no other approximation is made. This results in a set of coupled non-linear differential equations. The corresponding differential equations for a fixed point action have at most a countable number of solutions that are well defined for all values of the field. We apply the technique to the fixed points of one-component real scalar field theory in three dimensions. Only two non-singular solutions are found: the gaussian fixed point and an approximation to the Wilson fixed point. The latter is used to compute critical exponents, by carrying the approximation to second order. The results appear to converge rapidly.

Affiliated with

Also associated with

No associations

Rating

Derivative Expansion of the Exact 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 Derivative Expansion of the Exact Renormalization Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivative Expansion of the Exact Renormalization Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397541