QFT with stubs
Abstract The BV-Laplacian ∆ 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 B...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)120 |
| _version_ | 1797865770772856832 |
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| author | Christoph Chiaffrino Ivo Sachs |
| author_facet | Christoph Chiaffrino Ivo Sachs |
| author_sort | Christoph Chiaffrino |
| collection | DOAJ |
| description | Abstract The BV-Laplacian ∆ 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 ∆. 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. |
| first_indexed | 2024-04-09T23:14:37Z |
| format | Article |
| id | doaj.art-dff6c1781bf04d6d81bdba8ed0c02cda |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:37Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dff6c1781bf04d6d81bdba8ed0c02cda2023-03-22T10:12:53ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022612610.1007/JHEP06(2022)120QFT with stubsChristoph Chiaffrino0Ivo Sachs1Institute for Physics, Humboldt University BerlinArnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität of MunichAbstract The BV-Laplacian ∆ 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 ∆. 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.https://doi.org/10.1007/JHEP06(2022)120Anomalies in Field and String TheoriesBRST QuantizationGauge Symmetry |
| spellingShingle | Christoph Chiaffrino Ivo Sachs QFT with stubs Journal of High Energy Physics Anomalies in Field and String Theories BRST Quantization Gauge Symmetry |
| title | QFT with stubs |
| title_full | QFT with stubs |
| title_fullStr | QFT with stubs |
| title_full_unstemmed | QFT with stubs |
| title_short | QFT with stubs |
| title_sort | qft with stubs |
| topic | Anomalies in Field and String Theories BRST Quantization Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP06(2022)120 |
| work_keys_str_mv | AT christophchiaffrino qftwithstubs AT ivosachs qftwithstubs |