Light-ray sum rules and the c-anomaly
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909205476147200 |
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| author | Hartman, Thomas Mathys, Grégoire |
| author_facet | Hartman, Thomas Mathys, Grégoire |
| contents | In a four-dimensional quantum field theory that flows between two fixed points under the renormalization group, the change in the conformal anomaly $Δa$ has been related to the average null energy. We extend this result to derive a sum rule for the other anomaly coefficient, $Δc$, in terms of the stress tensor three-point function. While the sum rule for $Δa$ is an expectation value of the averaged null energy operator, and therefore positive, the result for $Δc$ involves the off-diagonal matrix elements, so it does not have a fixed sign. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_10137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Light-ray sum rules and the c-anomaly Hartman, Thomas Mathys, Grégoire High Energy Physics - Theory High Energy Physics - Phenomenology In a four-dimensional quantum field theory that flows between two fixed points under the renormalization group, the change in the conformal anomaly $Δa$ has been related to the average null energy. We extend this result to derive a sum rule for the other anomaly coefficient, $Δc$, in terms of the stress tensor three-point function. While the sum rule for $Δa$ is an expectation value of the averaged null energy operator, and therefore positive, the result for $Δc$ involves the off-diagonal matrix elements, so it does not have a fixed sign. |
| title | Light-ray sum rules and the c-anomaly |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.10137 |