Nonlocally Regularized Antibracket-Antifield Formalism and Anomalies in Chiral $W_3$ Gravity

Details Nonlocally Regularized Antibracket-Antifield Formalism and Anomalies in Chiral $W_3$ Gravity Nonlocally Regularized Antibracket-Antifield Formalism and Anomalies in Chiral $W_3$ Gravity

1995-02-24

arxiv.org/abs/hep-th/9502140v2

Nucl.Phys. B450 (1995) 357-396

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX (uses feynman), 3 figures (few typos corrected, 3 references added, final version to appear in Nucl.Phys.B)

Scientific paper

10.1016/0550-3213(95)00304-B

The nonlocal regularization method, recently proposed in ref.\,\ct{emkw91,kw92,kw93}, is extended to general gauge theories by reformulating it along the ideas of the antibracket-antifield formalism. From the interplay of both frameworks a fully regularized version of the field-antifield (FA) formalism arises, being able to deal with higher order loop corrections and to describe higher order loop contributions to the BRST anomaly. The quantum master equation, considered in the FA framework as the quantity parametrizing BRST anomalies, is argued to be incomplete at two and higher order loops and conjectured to reproduce only the one-loop corrections to the $\hbar^p$ anomaly generated by the addition of $O(\hbar^{k})$, $k

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