Chrial vacuum effects in a topological bag model of the light baryons

Journal Article · Sun Dec 01 04:00:00 EST 1985 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(85)90304-5· OSTI ID:6173245

Zahed, I; Wirzba, A; Meissner, U

We study the effects of a hedgehog pion configuration, (US ) = f/sub /r/sub US /sintheta, on the vacuum fluctuations of confined quarks in a two-phase model of the light baryons, at the one-loop level. We explicitly construct the confined chiral propagator for a two-flavor massless Dirac field. By using the Debye expansion, we show that the chiral Casimir energy E(theta) = E(theta)-E(0) diverges logarithmically e E(theta)approx.-(2/15 R) sinSthetaLntau+(2/4 R)(thetaS-sinStheta 6.644+sinUtheta 0.482), 6 while the normal flux of the vacuum axial current diverges both linearly and logarithmically l dSs/sub US /r/sub US //sup i/r/sub g/b/sup a/ = sin 2=(theta/2 R(1/tau tan (4/tau))+dE/dtheta+31/120 R sin 2, where tau 0+ is a cut-off parameter. The character of the divergences is examined and various subtraction procedures analyzed. The chiral vacuum effects on the fermion condensate are investigated, and their relevance to a bag model of the QCD vacuum discussed.

• Research Organization: Physics Department, State University of New York, Stony Brook, New York 11794
• DOE Contract Number: AC02-76ER13001
• OSTI ID: 6173245
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 165:2; ISSN APNYA
• Country of Publication: United States
• Language: English

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
COMPOSITE MODELS
DIRAC OPERATORS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FLUCTUATIONS
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
VACUUM STATES
VARIATIONS