Aspects of the quantization of theories with a gauge invariance

Thesis/Dissertation · Thu Jan 01 00:00:00 EST 1987

OSTI ID:5550914

Siopsis, G

First, we identify the Gribov problem that is encountered when the Faddeev-Popov procedure of fixing the gauge is employed to define a perturbation expansion. The author propose a modification of the procedure that takes this problem into account. We then apply this method to two-dimensional gauge theories where the exact answer is known. Second, we try to build chiral theories that are consistent in the presence of anomalies, without making use of additional degrees of freedom. We are able to solve the model exactly in two dimensions, arriving at a gauge-invariant theory. We discuss the four-dimensional case and also the application of this method to string theory. In the latter, we obtain a model that lives in arbitrary dimensions. However, we do not compute the spectrum of the model. Third, we investigate the possibility of compactifying the unwanted dimensions of superstrings on a group manifold. We give a complete list of conformally invariant models. We also discuss one-loop modular invariance. We consider both type-II and heterotic superstring theories. Fourth, we discuss quantization of string field theory. We start by presenting the lagrangian approach, to demonstrate the non-uniqueness of the measure in the path- integral. It is fixed by demanding unitarity, which manifests itself in the hamiltonian formulation, studied next.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 5550914
• Resource Relation: Other Information: Thesis (Ph.D)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
QUANTIZATION
CHIRALITY
COMPACTIFICATION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
LAGRANGIAN FIELD THEORY
STRING MODELS
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL
SYMMETRY
645400* - High Energy Physics- Field Theory