Analysis of a renormalization group equation using the prolongation method

Authors
Bracken, P
Citation
P. Bracken, Analysis of a renormalization group equation using the prolongation method, MOD PHY L A, 14(36), 1999, pp. 2507-2516
Citations number
6
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
14
Issue
36
Year of publication
1999
Pages
2507 - 2516
Database
ISI
SICI code
0217-7323(19991130)14:36<2507:AOARGE>2.0.ZU;2-O
Abstract
The renormalization group equation in quantum field theory is reviewed. The prolongation method is applied to a simplified version of the resulting eq uation. A system of first order differential equations results which determ ine the coefficients in the prolonged vector field. Finally, we show how th is system can be solved in several cases to determine solutions of these eq uations.