Irrelevant operators and equivalent field theories

Technical Report · Sun Jan 01 00:00:00 EST 1978

OSTI ID:6619190

Tamvakis, K; Guralnik, G S

The model describd by a Lagrangian is studied in 1+l dimensions. Wilson's renormalization prescription is adopted and a nontrivial infrared stable fixed point is obtained in the mean field approximation. It is demonstrated that at the fixed point the operators sigma delta/sup 2/sigma and g/sub on/sigma/sup n/ for n = 4,6,...infinity become irrelevant and the theory becomes equivalent to the Gross-Neveu model. The equivalence is independent of the values of the dimensionless bare couplings of the original model (universality). Similar results are obtained in the case of other models in 3+l dimensions.

• Research Organization: Brown Univ., Providence, RI (USA). Dept. of Physics
• DOE Contract Number: EY-76-C-02-3130
• OSTI ID: 6619190
• Report Number(s): TID-28695; TRN: 78-019302
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LAGRANGIAN FIELD THEORY
QUANTUM OPERATORS
QUANTUM FIELD THEORY
LAGRANGIAN FUNCTION
COUPLING
INFRARED RADIATION
RENORMALIZATION
ELECTROMAGNETIC RADIATION
FIELD THEORIES
FUNCTIONS
MATHEMATICAL OPERATORS
RADIATIONS
645400* - High Energy Physics- Field Theory