A Theory of Light Quarks in the Instanton Vacuum - INSPIRE

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A Theory of Light Quarks in the Instanton Vacuum

Apr, 1985

33 pages

Published in:

Nucl.Phys.B 272 (1986) 457-489

Published: 1986

DOI:

10.1016/0550-3213(86)90011-8

Report number:

LENINGRAD-85-1053

reference search809 citations

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Abstract: (Elsevier)

A new mechanism of spontaneous chiral symmetry breaking in the instanton vacuum of OCD is proposed. It is based on the delocalization of zero fermionic modes in the pseudoparticles' medium. This medium exists due to the effective repulsion of pseudoparticles discovered by us previously. We build a systematic theory of light quarks in such a medium. We find the quark propagator in the instanton vacuum and demonstrate that the quark acquires an effective momentum-dependent mass. It means that the approximate chiral symmetry of QCD breaks down spontaneously, and we find the value of the chiral condensate 〈 ψ ψ〉 .

QUANTUM CHROMODYNAMICS: VACUUM STATE
FIELD EQUATIONS: INSTANTON
SYMMETRY BREAKING: CHIRAL
QUARK: PROPAGATOR
CURRENT: CORRELATION FUNCTION
PI: DECAY
DECAY: PI
pi: form factor
FIELD THEORY: EFFECTIVE LAGRANGIANS
FIELD EQUATIONS: PSEUDOPARTICLE

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