High-Order Corrections to the Lipatov Asymptotics in the φ^4 Theory

Details High-Order Corrections to the Lipatov Asymptotics in the φ^4 Theory High-Order Corrections to the Lipatov Asymptotics in the φ^4 Theory

2005-09-25

arxiv.org/abs/hep-ph/0509274v1

J.Exp.Theor.Phys.99:234-253,2004; Zh.Eksp.Teor.Fiz.99:268-287,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, PDF

Scientific paper

10.1134/1.1800180

High orders in perturbation theory can be calculated by the Lipatov method. For most field theories, the Lipatov asymptotics has the functional form c a^N \Gamma(N+b) (N is the order of perturbation theory); relative corrections to this asymptotics have the form of a power series in 1/N. The coefficients of high order terms of this series can be calculated using a procedure analogous to the Lipatov approach and are determined by the second instanton in the considered field theory. These coefficients are calculated quantitatively for the n-component \phi^4 theory under the assumption that the second instanton is (i) a combination of two elementary instantons and (ii) a spherically asymmetric localized function. The technique of two-instanton calculations is developed, as well as the method for integrating over rotations of an asymmetric instanton in the coordinate state.

Affiliated with

Also associated with

No associations

Rating

High-Order Corrections to the Lipatov Asymptotics in the φ^4 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 High-Order Corrections to the Lipatov Asymptotics in the φ^4 Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-Order Corrections to the Lipatov Asymptotics in the φ^4 Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712004