Theoretical aspects of hybrid chiral bag models
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), Vol. 30:5
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BAG MODEL
CHIRAL SYMMETRY
BOUNDARY CONDITIONS
DIRAC EQUATION
FERMIONS
GREEN FUNCTION
SKYRME POTENTIAL
SOLITONS
SYMMETRY BREAKING
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FUNCTIONS
MATHEMATICAL MODELS
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POTENTIALS
QUARK MODEL
QUASI PARTICLES
SYMMETRY
WAVE EQUATIONS
645301* - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)
645400 - High Energy Physics- Field Theory