Energy momentum tensor correlators in $ϕ^4$ theory II: The spin-two sector
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918080080248832 |
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| author | Irges, Nikos Karageorgos, Leonidas |
| author_facet | Irges, Nikos Karageorgos, Leonidas |
| contents | We extend the computation of the C_T charge of the 2-point function of the Energy-Momentum Tensor to 4-loops. We show that C_T decomposes into two sectors, the conformal sector, which encodes the value of the central charge at fixed points and an RG-sector that contains logarithmic and constant corrections proportional to the beta-function. This latter constitutes the main new result of this work and is inaccessible via CFT methods alone. Furthermore, we demonstrate that C_T satisfies an eigenvalue-like equation analogous to that of the spin-0 charge, as discussed in part I, though with a different in general eigenvalue. Finally we present three possible applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy momentum tensor correlators in $ϕ^4$ theory II: The spin-two sector Irges, Nikos Karageorgos, Leonidas High Energy Physics - Theory High Energy Physics - Phenomenology We extend the computation of the C_T charge of the 2-point function of the Energy-Momentum Tensor to 4-loops. We show that C_T decomposes into two sectors, the conformal sector, which encodes the value of the central charge at fixed points and an RG-sector that contains logarithmic and constant corrections proportional to the beta-function. This latter constitutes the main new result of this work and is inaccessible via CFT methods alone. Furthermore, we demonstrate that C_T satisfies an eigenvalue-like equation analogous to that of the spin-0 charge, as discussed in part I, though with a different in general eigenvalue. Finally we present three possible applications. |
| title | Energy momentum tensor correlators in $ϕ^4$ theory II: The spin-two sector |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.01713 |