Theoretical aspects of hybrid chiral bag models

Journal Article · Sat Sep 01 04:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.1073· OSTI ID:6406442

Mulders, P J

In hybrid chiral bag models (HCBM's) the quarks are the source for the pion field outside the bag. If we want to solve this model with a classical external soliton solution and quantized fermions, it is necessary to evaluate the vacuum expectation values (VEV's) of those operators that contain fermion fields and appear in the boundary conditions. When the external solution is the so-called hedgehog solution, pi-arrow-right(r,t) = f/sub ..pi../theta(r)r, the relevant VEV is where eta is a cutoff parameter (eta..-->..0). To obtain this result we have used a multiple-reflection expansion of the Green's function, while C/sub 0/(theta) is evaluated numerically. We discuss the infinite contribution in the above VEV, and show that 4..pi..C/sub 0/(theta)/R is precisely the derivative of the Casimir energy with respect to theta. We also discuss some solutions of the HCBM for bag radii varying from 0 to infinity.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• DOE Contract Number: AC02-76ER03069
• OSTI ID: 6406442
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POTENTIALS
QUARK MODEL
QUASI PARTICLES
SKYRME POTENTIAL
SOLITONS
SYMMETRY
SYMMETRY BREAKING
WAVE EQUATIONS