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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2202.13893 |
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| _version_ | 1866929704183791616 |
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| author | Liu, Chang-Yong |
| author_facet | Liu, Chang-Yong |
| contents | In this paper, we investigate the Pontryagin trace anomaly for chiral fermions in a general curved background using Pauli-Villars regularization. We use both Feynman diagram method and Fujikawa's method to calculate the parity-odd contribution (Pontryagin term). Our result indicates that the trace anomaly of energy-momentum tensor for chiral fermions has Pontryagin term $P=\frac{i}{1536π^2}ε_{νσκλ}R^{νσ}_{\ \ ρμ}R^{ρμκλ}$ which agrees with the work of Bonora et al \cite{Bonora:2014qla}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_13893 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Investigation of Pontryagin trace anomaly using Pauli-Villars regularization Liu, Chang-Yong High Energy Physics - Theory In this paper, we investigate the Pontryagin trace anomaly for chiral fermions in a general curved background using Pauli-Villars regularization. We use both Feynman diagram method and Fujikawa's method to calculate the parity-odd contribution (Pontryagin term). Our result indicates that the trace anomaly of energy-momentum tensor for chiral fermions has Pontryagin term $P=\frac{i}{1536π^2}ε_{νσκλ}R^{νσ}_{\ \ ρμ}R^{ρμκλ}$ which agrees with the work of Bonora et al \cite{Bonora:2014qla}. |
| title | Investigation of Pontryagin trace anomaly using Pauli-Villars regularization |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2202.13893 |