Nonperturbative nature of the renormalization group

Journal Article · Mon Apr 11 04:00:00 EDT 1988 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.60.1464· OSTI ID:5437082

Bagnuls, C; Bervillier, C

By considering Symanzik's improvement program of the continuum limit of scalar lattice field theory as a tool to make contact between the perturbative renormalization and Wilson's theory, we show the nonperturbative nature of the renormalization. As a consequence we justify the conjecture of Parisi that the critical exponents may be estimated by field-theoretical methods without recourse to the epsilon expansion.

• Research Organization: Institut de Recherche Fondamentale, Commissariat a l'Energie Atomique, Centre d'Etudes Nucleaires de Saclay, 91191 Gif-sur-Yvette Cedex, France
• OSTI ID: 5437082
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 60:15; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRITICALITY
FIELD THEORIES
LATTICE FIELD THEORY
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
WILSON LOOP