Instantons in a quark plasma. The particle propagator and fermion zero modes

Journal Article · Tue Mar 01 04:00:00 EST 1983 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5636189

Abrikosov, Jr, A A

Wave functions of particles in an instanton field are found which are characterized at infinity by a definite on-shell value of the 4-momentum. The quark propagator is expanded in these functions, which have the nondiagonal matrix elements not equal to zero. The Green function of massless quarks and the fermion zero modes are constructed for a finite chemical potential. It is shown that the zero modes are due to the nondiagonal matrix elements, that is, they are associated with particle scattering in the self-dual field. The results are generalized to 5n-parameter multi-instanton fields and arbitrary temperatures.

• Research Organization: Institute for Space Research, USSR Academy of Sciences
• OSTI ID: 5636189
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 37:3; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
DUALITY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INSTANTONS
INTERACTIONS
MATTER
PLASMA
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MATTER
QUARKS
QUASI PARTICLES
STRONG INTERACTIONS
WAVE FUNCTIONS