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**Chiaffrino, Christoph and Sachs, Ivo (2022): QFT with stubs. In: Journal of High Energy Physics, No. 6, 120**

**Full text not available from 'Open Access LMU'.**

## Abstract

The BV-Laplacian Delta in quantum field theory is singular, by construction, but can be regularized by deforming the classical BV-action. Taking inspiration from string theory we describe a non-local deformation of the latter by adding stubs to the interaction vertices while keeping classical BV-invariance manifest. This is achieved using a version of homotopy transfer resulting in a non-polynomial action for which the quantum master equation is now well defined and will be satisfied by adding additional vertices at loop level. The latter can be defined with the help of standard regularization schemes and is independent of the definition of Delta. In particular, the determination of anomalies reduces to the standard text-book calculation. Finally, we describe how the deformed (quantum) action can be obtained as a canonical transformation. As an example, we illustrate this procedure for quantum electrodynamics.

Item Type: | Journal article |
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Faculties: | Physics |

Subjects: | 500 Science > 530 Physics |

ISSN: | 1029-8479 |

Language: | English |

Item ID: | 115102 |

Date Deposited: | 02. Apr 2024, 08:10 |

Last Modified: | 02. Apr 2024, 08:10 |

DFG: | Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 390783311 |