Massless lattice φ{4/4} theory: Rigorous control of a renormalizable asymptotically free model
Abstract
Using block spin renormalization group techniques, we rigorously control the functional integral of a weakly coupled critical lattice φ 4 theory in four euclidean dimensions proving the infrared asymptotic freedom of the model. This solves the infrared counterpart of and sheds some light on the problem of existence of continuum renormalizable ultraviolet asymptotically free models.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- June 1985
- DOI:
- 10.1007/BF01212281
- Bibcode:
- 1985CMaPh..99..197G