Saddle-point instability in models of chiral-symmetry breaking
- 15 February 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 33 (4), 1137-1145
- https://doi.org/10.1103/physrevd.33.1137
Abstract
We examine the stability of models of chiral-symmetry breaking based on truncated Schwinger-Dyson equations. We incorporate renormalization-group improvement through a running coupling constant. We confirm in a specific model that all chiral-symmetry-breaking solutions correspond to saddle points of the effective-potential functional. The instability can be traced to momentum scales in the range from intermediate to infrared. The region from intermediate to ultraviolet gives a completely consistent picture of the energetics of candidate vacuum states. Further systematic patterns of solutions are presented.Keywords
This publication has 17 references indexed in Scilit:
- Closed-form bound-state effective potential and exact solutions for dynamical symmetry breaking in a 4D gauge theoryPhysics Letters B, 1981
- Determination of the singularities of the electron propagatorNuclear Physics B, 1979
- Dynamical instability of the vacuum in the lagrangian formalism of the Bethe-Salpeter bound statesPhysics Letters B, 1978
- Effect of rapid spin exchange on the magnetic-resonance spectrum of alkali vaporsPhysical Review A, 1977
- Bound-state effective potential formulation of dynamical symmetry breakingPhysical Review D, 1977
- Schwinger-Dyson equation for massless vector theory and the absence of a fermion poleNuclear Physics B, 1976
- Improved effective-potential formalism for composite fieldsPhysical Review D, 1976
- hadronization of quark theories and a bilocal form of QEDPhysics Letters B, 1976
- Effective action for composite operatorsPhysical Review D, 1974
- Self-Energy of the ElectronPhysical Review B, 1964