Strong-coupling behavior of φ4 theories and critical exponents
Abstract
We use the recently developed variational perturbation theory to continue the renormalization constants of three-dimensional φ4 theories to the regime of strong bare coupling g0. In this limit, they are found to behave as powers in g0, thereby determining all critical exponents. Convergent strong-coupling expansions are found for all renormalization group functions which converge well even in the weak-coupling limit.
- Publication:
-
Physical Review D
- Pub Date:
- February 1998
- DOI:
- 10.1103/PhysRevD.57.2264
- Bibcode:
- 1998PhRvD..57.2264K
- Keywords:
-
- 03.65.Db;
- 02.60.Gf;
- 11.10.Gh;
- Functional analytical methods;
- Algorithms for functional approximation;
- Renormalization