Published March 15, 1982
| Version v1
Journal article
Cluster irreducibility of the third and fourth Legendre transforms in quantum field theory
Creators
- 1. Mathematics Department, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Y4
Description
Let GAMMA/sup( r/) be the rth Legendre transform of the generating functional of the Euclidean Green's functions of a boson quantum field theory. We formulate and prove the r-cluster-irreducibility properties of GAMMA/sup( r/) for r< or =4. In particular, the rth-order vertex functions GAMMA/sup( r/)/sub n/ are r-irreducible and the rth-order Bethe-Salpeter kernels are r-channel-irreducible. Our definition of irreducibility is independent of perturbation theory, being based on Spencer's idea of t-derivatives
Additional details
Publishing Information
- Journal Title
- Phys. Rev., D
- Journal Volume
- 25
- Journal Issue
- 6
- Series
- Phys. Rev., D.
- Journal Page Range
- 1565-1578
- ISSN
- 0556-2821
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 13693062
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BETHE-SALPETER EQUATION; BOSONS; COUPLING CONSTANTS; EUCLIDEAN SPACE; GREEN FUNCTION; PERTURBATION THEORY; QUANTUM FIELD THEORY; RENORMALIZATION; SYMMETRY BREAKING
- Descriptors DEC
- EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE