The five-point bootstrap
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914697438035968 |
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| author | Poland, David Prilepina, Valentina Tadić, Petar |
| author_facet | Poland, David Prilepina, Valentina Tadić, Petar |
| contents | We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing a generalization of radial coordinates, using an appropriate ansatz, and perturbatively solving two quadratic Casimir differential equations. We then study five-point correlators $\langle σσεσσ\rangle$ in the critical 3d Ising model. We truncate the operator product expansions (OPEs) in the correlator by including a finite number of primary operators with conformal dimension below a cutoff $Δ\leqslant Δ_{\rm cutoff}$. We then compute several OPE coefficients involving $ε$ and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_08914 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The five-point bootstrap Poland, David Prilepina, Valentina Tadić, Petar High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing a generalization of radial coordinates, using an appropriate ansatz, and perturbatively solving two quadratic Casimir differential equations. We then study five-point correlators $\langle σσεσσ\rangle$ in the critical 3d Ising model. We truncate the operator product expansions (OPEs) in the correlator by including a finite number of primary operators with conformal dimension below a cutoff $Δ\leqslant Δ_{\rm cutoff}$. We then compute several OPE coefficients involving $ε$ and two spinning operators by demanding that the truncated correlator approximately satisfies the crossing relation. |
| title | The five-point bootstrap |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2305.08914 |