Perturbative Mellin amplitudes of $\mathcal{N}=4$ SYM
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914624781156352 |
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| author | Bhat, Faizan Maity, Pronobesh |
| author_facet | Bhat, Faizan Maity, Pronobesh |
| contents | We compute the Mellin amplitude of the planar four-point correlator of weight-two half-BPS operators in $\mathcal{N}=4$ SYM at one and two-loop orders in the small 't Hooft coupling expansion. The two-loop Mellin amplitude has an infinite number of poles, as expected from a stringy bulk dual. We then perform a Mellin conformal block expansion of the amplitude and extract the one-loop anomalous dimensions and OPE coefficients of the exchanged twist-two singlet multiplets. Our results match those of Dolan and Osborn \cite{Dolan:2004iy} but the computation is rather straightforward in Mellin space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17692 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Perturbative Mellin amplitudes of $\mathcal{N}=4$ SYM Bhat, Faizan Maity, Pronobesh High Energy Physics - Theory We compute the Mellin amplitude of the planar four-point correlator of weight-two half-BPS operators in $\mathcal{N}=4$ SYM at one and two-loop orders in the small 't Hooft coupling expansion. The two-loop Mellin amplitude has an infinite number of poles, as expected from a stringy bulk dual. We then perform a Mellin conformal block expansion of the amplitude and extract the one-loop anomalous dimensions and OPE coefficients of the exchanged twist-two singlet multiplets. Our results match those of Dolan and Osborn \cite{Dolan:2004iy} but the computation is rather straightforward in Mellin space. |
| title | Perturbative Mellin amplitudes of $\mathcal{N}=4$ SYM |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.17692 |