منابع مشابه
Triplectic Quantization of W2 gravity
The role of one loop order corrections in the triplectic quantization is discussed in the case of W2 theory. This model illustrates the presence of anomalies and Wess Zumino terms in this quantization scheme where extended BRST invariance is represented in a completely anticanonical form.
متن کاملGauge Models in Modified Triplectic Quantization
We apply the modified triplectic formalism for quantization of several popular gauge models. Thus we consider the model of non-abelian antisymmetric tensor field, the model ofW2-gravity, and the model of two-dimensional gravity with dynamical torsion. For the models in question we obtain explicit solutions of the generating equations that determine the quantum action and the gaugefixing functio...
متن کاملModified Triplectic Quantization in General Coordinates
Modern covariant quantization methods for general gauge theories are based on the principle of BRST [2, 3], or, more generally, BRST–antiBRST [4, 5, 6, 7] invariance. The consideration of these methods in general coordinates (using appropriate supermanifolds) appears to be very important in order to reveal the geometrical meaning of the basic objects underlying these quantization schemes. The s...
متن کاملCanonical Transformations and Gauge Fixing in the Triplectic Quantization
We show that the generators of canonical transformations in the triplectic manifold must satisfy constraints that have no parallel in the usual field antifield quantization. A general form for these transformations is presented. Then we consider gauge fixing by means of canonical transformations in this Sp(2) covariant scheme, finding a relation between generators and gauge fixing functions. Th...
متن کاملA Lie Group Structure Underlying the Triplectic Geometry
We consider the pair of degenerate compatible antibrackets satisfying a generalization of the axioms imposed in the triplectic quantization of gauge theories. We show that this actually encodes a Lie group structure, with the antibrackets being related to the left-and right-invariant vector fields on the group. The standard triplectic quantization axioms then correspond to Abelian Lie groups.
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2000
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.61.125003