On the Preservation of Quasilocality by the Integration-Out Transformation
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913977834930176 |
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| author | Tlas, Tamer |
| author_facet | Tlas, Tamer |
| contents | We demonstrate that the integration-out step of the renormalization group transformation preserves the quasilocality of the effective action. This is shown in the case of a single, real, scalar field on a torus, but the proof holds more generally. The main result can be thought of as showing the flow invariance of the quasilocal subset under the flow generated by the Polchinski equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_14747 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the Preservation of Quasilocality by the Integration-Out Transformation Tlas, Tamer Mathematical Physics 81T17 (Primary) 81T08, 37D10 (Secondary) We demonstrate that the integration-out step of the renormalization group transformation preserves the quasilocality of the effective action. This is shown in the case of a single, real, scalar field on a torus, but the proof holds more generally. The main result can be thought of as showing the flow invariance of the quasilocal subset under the flow generated by the Polchinski equation. |
| title | On the Preservation of Quasilocality by the Integration-Out Transformation |
| topic | Mathematical Physics 81T17 (Primary) 81T08, 37D10 (Secondary) |
| url | https://arxiv.org/abs/2012.14747 |