%0 Journal Article %1 Troost1990727 %A Troost, W. %A van Nieuwenhuizen, P. %A Proeyen, A. Van %D 1990 %J Nuclear Physics B %K Anomaly BVFormalism ChiralSymmetry %N 3 %P 727 - 770 %R DOI: 10.1016/0550-3213(90)90137-3 %T Anomalies and the Batalin-Vilkovisky lagrangian formalism %U http://www.sciencedirect.com/science/article/B6TVC-4718K06-K5/2/fde6cbaa8ba2000a772afa6305303672 %V 333 %X Anomalies can be studied in the framework of the BV lagrangian formalism. They are present whenever there are terms of order Plancks over 2pi (or higher) in the master equation which cannot be removed by a local counterterm. Regularisation is essential to define those BV expressions which correspond to jacobians and determinants in other approaches. We use a regularisation scheme, motivated by the Pauli-Villars regularisation, which allows one to use the Fujikawa method without being restricted to Fujikawa variables, and which regularises also nonpropagating fields. It leads to finite and local, but in general noncovariant, terms in the master equation at order Plancks over 2pi. Several explicit examples illustrate the relation between counterterms, canonical transformations and different consistent regulators.

@article{Troost1990727, abstract = {Anomalies can be studied in the framework of the BV lagrangian formalism. They are present whenever there are terms of order [Plancks over 2pi] (or higher) in the master equation which cannot be removed by a local counterterm. Regularisation is essential to define those BV expressions which correspond to jacobians and determinants in other approaches. We use a regularisation scheme, motivated by the Pauli-Villars regularisation, which allows one to use the Fujikawa method without being restricted to Fujikawa variables, and which regularises also nonpropagating fields. It leads to finite and local, but in general noncovariant, terms in the master equation at order [Plancks over 2pi]. Several explicit examples illustrate the relation between counterterms, canonical transformations and different consistent regulators.}, added-at = {2009-04-21T12:56:29.000+0200}, author = {Troost, W. and van Nieuwenhuizen, P. and Proeyen, A. Van}, biburl = {https://www.bibsonomy.org/bibtex/28cbbf6c5c39b0587e5af6ba66808f01d/gber}, description = {ScienceDirect - Nuclear Physics B : Anomalies and the Batalin-Vilkovisky lagrangian formalism}, doi = {DOI: 10.1016/0550-3213(90)90137-3}, interhash = {4f64de76482b3a826e4b400a03097b5e}, intrahash = {8cbbf6c5c39b0587e5af6ba66808f01d}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {Anomaly BVFormalism ChiralSymmetry}, number = 3, pages = {727 - 770}, timestamp = {2009-04-21T12:56:29.000+0200}, title = {Anomalies and the Batalin-Vilkovisky lagrangian formalism}, url = {http://www.sciencedirect.com/science/article/B6TVC-4718K06-K5/2/fde6cbaa8ba2000a772afa6305303672}, volume = 333, year = 1990 }