Nonperturbative analysis of the effective potential in the O(N) model
Creators
- 1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
- 2. Insitute for Theoretical Physics, University of California, Santa Barbara, California 93106
Description
The effective potential V(Vertical Barphi-circumflexVertical Bar) of a general O(N)-symmetric scalar field theory is discussed. It is shown that the first and second derivatives of V(Vertical Barphi-circumflexVertical Bar) with respect to the magnitude Vertical Barphi-circumflexVertical Bar of the classical field cannot be negative. These properties imply that if spontaneous symmetry breaking occurs in such a model, then V(Vertical Barphi-circumflexVertical Bar) does not exist for a range of Vertical Barphi-circumflexVertical Bar, and that at most one nontrivial minimum is present in the theory. This analysis does not depend upon the spacetime dimensionality of the system or upon the particulars of any perturbation series. The results of a Monte Carlo calculation of the derivative of the effective potential in a lattice version of the theory are also presented
Additional details
Publishing Information
- Journal Title
- Phys. Rev., D
- Journal Volume
- 27
- Journal Issue
- 12
- Series
- Phys. Rev., D.
- Journal Page Range
- 2974-2979
- ISSN
- 0556-2821
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 14800394
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- LATTICE FIELD THEORY; MONTE CARLO METHOD; O GROUPS; PERTURBATION THEORY; PHI4-FIELD THEORY; POTENTIALS; SCALAR FIELDS; SPACE-TIME; SYMMETRY BREAKING
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DYNAMICAL GROUPS; FIELD THEORIES; LIE GROUPS; QUANTUM FIELD THEORY; SYMMETRY GROUPS