New Construction of \Delta-Operator in Field-Antifield Formalism
P.M. Lavrov, O.V. Radchenko
TL;DR
This paper demonstrates that the nilpotent Δ-operator in the field-antifield formalism can be constructed solely from an antisymplectic structure, simplifying its theoretical foundation.
Contribution
It provides a new construction method for the Δ-operator using only antisymplectic structures, advancing the mathematical understanding of the formalism.
Findings
Δ-operator can be constructed from antisymplectic structure alone
Simplifies the mathematical framework of field-antifield formalism
Enhances the theoretical foundation of gauge theories
Abstract
It is proven that the nilpotent -operator in the field-antifield formalism can be constructed in terms of an antisymplectic structure only.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Algebraic and Geometric Analysis · Gas Dynamics and Kinetic Theory