Unconstrained BRST superfield theories. [BRST (Becchi-Rouet-Stora-Tyutin)]

Thesis/Dissertation · Tue Dec 31 23:00:00 EST 1991

OSTI ID:5706235

Dur, E

The use of a superspace to geometrically formulate BRST (Becchi-Rouet-Stora-Tyutin) and anti-BRST symmetries in ordinary and supersymmetric field theories is examined. It is shown that the conditions that curvature components should be trivial in the BRST superspace directions always result in differential equations whose solutions lead to prepotentials. Explicit solutions to many of these cases are given and it is shown that the prepotentials play a crucial role in writing all actions in a manifestly invariant and geometrical form. Geometric formulation of BRST and anti-BRST symmetries by the use of a superspace can be extended to formulate the stochastic quantization of gauge theories. With this method, the stochastic time evolution equations for Yang-Mills and two dimensional gravity can be obtained. The results suggest that the method is applicable to other gauge theories as well.

• Research Organization: Maryland Univ., College Park, MD (United States)
• OSTI ID: 5706235
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATION
INVARIANCE PRINCIPLES
QUANTIZATION
SUPERSYMMETRY
SYMMETRY
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY