A Noncommutative Note on the Antibracket Formalism

Details A Noncommutative Note on the Antibracket Formalism A Noncommutative Note on the Antibracket Formalism

1993-09-14

arxiv.org/abs/hep-th/9309080v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, LaTeX, Leuven KUL-TF-93/38

Scientific paper

We introduce a noncommutative calculus on the odd-symplectic superspace $\scri$ of fields and antifields. To this end we have to extend $\scri$ to $\exscri$ by including an extra anticommuting field $\eta$. As a consequence we show that the commutator induced on $\exnice\times T^\star(\exnice)$ is proportional to the antibracket. The $\Delta$-operator is an element of the quotient space of derivations twisted by the antibracket $A\der$ and $\der$. The natural measure on $\exscri$ is shown to be invariant under canonical transformations provided a certain 'wave equation' is satisfied.

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