Published March 1989
| Version v1
Journal article
The Φ4 equations of motion. A new method for the construction of Wightman quantum field theory
Creators
- 1. Institut des Hautes Etudes Scientifiques, 91 - Bures-sur-Yvette (France)
Description
A new method for the construction of a nontrivial Φ4 model consistent with the general principles of a Wightman Quantum Field Theory is proposed. The renormalized equations of motion for the connected Green's functions in the Euclidean momentum space are considered. Using a fixed-point method in an appropriate Banach space, the existence of a unique nontrivial solution of these equations is proved when the coupling constant is fixed positive and smaller than a finite value. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics B, Proceedings Supplements
- Journal Volume
- 6
- Series
- Nucl. Phys. B, Proc. Suppl.
- Journal Page Range
- 163-166
- ISSN
- 0920-5632
- CODEN
- NPBSE
Conference
- Title
- International symposium on spacetime symmetries.
- Dates
- 24-28 May 1988.
- Place
- College Park, MD (USA).
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 21015728
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- BANACH SPACE; COUPLING CONSTANTS; EUCLIDEAN SPACE; FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; GREEN FUNCTION; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; PHASE SPACE; PHI4-FIELD THEORY; RENORMALIZATION; SCALAR FIELDS; WIGHTMAN FIELD THEORY
- Descriptors DEC
- AXIOMATIC FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; RIEMANN SPACE; SPACE