Symplectic geometry of field theories and covariant quantization of superstrings and superparticles

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

OSTI ID:5089885

Crnkovic, C

A detailed development of the symplectic geometry formalism for a general Lagrangian field theory is presented. Special attention is paid to the theories with constraints and/or gauge degrees of freedom. Special cases of Yang-Mills theory, general relativity and Witten's string field theory are studied and the generators of (super-) Poincare transformations are derived using their respective symplectic forms. The formalism extends naturally to theories formulated in the superspace. The second part of the thesis deals with issues in covariant quantization. By studying the symplectic geometry of the Green-Schwarz covariant superstring action, we elucidate some aspects of its covariant quantization. We derive the on-shell gauge-fixed action and the equations of motion for all the fields. Finally, turning to Siegel's version of the superparticle action, we perform its BRST quantization.

• Research Organization: Princeton Univ., NJ (USA)
• OSTI ID: 5089885
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
CALCULATION METHODS
GENERAL RELATIVITY THEORY
MATHEMATICAL LOGIC
POINCARE GROUPS
YANG-MILLS THEORY
FIELD THEORIES
LIE GROUPS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
645300 - High Energy Physics- Particle Invariance Principles & Symmetries
651000 - Nuclear Physics