Field-theoretical investigations in nonlinear realizations of gauge symmetry

Miscellaneous · Sun Jan 01 00:00:00 EST 1989

OSTI ID:5178548

Lee, Chenhan

A review of both linear realization and non-linear realization of gauge symmetries is given and the connection between the two recipes is carefully examined. The author then constructs both linear and non-linear realizations for of supersymmetric theories. The supermultiplets of the Goldstone modes contain Goldstone bosons, quasi-Goldstone bosons and quasi-Goldstone fermions. He makes an attempt to construct a specific model of a supersymmetric non-linear realization for the Nambu-Goldstone superfields and the quasi-Goldstone fermions are identified with the quarks and leptons. Further, he discusses a mechanism by which the components of the Nambu-Goldstone supermultiplets are given non-zero mass splittings by the coupling to a hidden sector. Next, he turns to anti-symmetric tensor gauge theories, which are shown to be classically equivalent to the non-linear models describing the complete symmetry breakdown. To study the quantum mechanical equivalence of these two models, he carries out the tensor gauge fixing and the quantization procedures for the anti-symmetric tensor theories and establish the global symmetry currents which connect the two models. He then builds the supersymmetric extensions of the anti-symmetric tensor gauge theories in both abelian and non-abelian versions. Such super-tensor gauge theories are shown, by using the superfield equations of motion, to be equivalent to the fully doubled supersymmetric non-linear models of complete symmetry breakdown.

• Research Organization: Purdue Univ., Lafayette, IN (United States)
• OSTI ID: 5178548
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SUPERSYMMETRY
UNIFIED GAUGE MODELS
SYMMETRY
EQUATIONS OF MOTION
FIELD EQUATIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
MASS
NONLINEAR PROBLEMS
PARTICLE MODELS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SYMMETRY BREAKING
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
645300* - High Energy Physics- Particle Invariance Principles & Symmetries
645400 - High Energy Physics- Field Theory