Applications of nonlinear sigma models
This thesis is devoted to a study of applications of nonlinear sigma models to the Skyrme model and to string physics. In chapter 1, the background material is briefly reviewed. In chapter 2 it is shown that baryons carrying heavy flavors, such as strangeness and charm, can be described by bound states of the corresponding heavy mesons in the background field of the basic SU(2) skyrmion. In chapter 3, the applicability of the Skyrme model to the analysis of nuclear matter is discussed. An ansatz that describes a cubic skyrmion crystal is presented and studied numerically. Results are used to discuss nuclear matter in the large-N/sub c/ limit and at N/sub c/ = 3. In chapter 4, it is demonstrated that the beta functions of the nonlinear sigma models which describe strings propagating in background fields can be used to construct the generating functional for on-shell S-matrix elements of the associated string theories.
- Research Organization:
- Princeton Univ., NJ (USA)
- OSTI ID:
- 6696695
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
SIGMA MODEL
NONLINEAR PROBLEMS
BARYONS
BOUND STATE
FLAVOR MODEL
NUCLEAR MATTER
S MATRIX
SKYRME POTENTIAL
STRING MODELS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
HADRONS
MATHEMATICAL MODELS
MATRICES
MATTER
NUCLEON-NUCLEON POTENTIAL
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645400* - High Energy Physics- Field Theory
653002 - Nuclear Theory- Nuclear Matter