Classifying and constraining local four photon and four graviton S-matrices
| Autor: | Subham Dutta Chowdhury, Tushar Gopalka, Lavneet Janagal, Shiraz Minwalla, Abhijit Gadde, Indranil Halder |
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| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Polynomial FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology High Energy Physics::Theory High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Invariant (mathematics) Scattering Amplitudes 010306 general physics Mathematical Physics S-matrix Mathematical physics Physics Conformal Field Theory Spacetime 010308 nuclear & particles physics Conformal field theory Computer Science::Information Retrieval Graviton Effective Field Theories Mathematical Physics (math-ph) Scattering amplitude High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) Bounded function lcsh:QC770-798 Classical Theories of Gravity |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2020, Iss 2, Pp 1-170 (2020) |
| DOI: | 10.48550/arxiv.1910.14392 |
| Popis: | We study the space of all kinematically allowed four photon and four graviton S-matrices, polynomial in scattering momenta. We demonstrate that this space is the permutation invariant sector of a module over the ring of polynomials of the Mandelstam invariants $s$, $t$ and $u$. We construct these modules for every value of the spacetime dimension $D$, and so explicitly count and parameterize the most general four photon and four graviton S-matrix at any given derivative order. We also explicitly list the local Lagrangians that give rise to these S-matrices. We then conjecture that the Regge growth of S-matrices in all physically acceptable classical theories is bounded by $s^2$ at fixed $t$. A four parameter subset of the polynomial photon S-matrices constructed above satisfies this Regge criterion. For gravitons, on the other hand, no polynomial addition to the Einstein S-matrix obeys this bound for $D \leq 6$. For $D \geq 7$ there is a single six derivative polynomial Lagrangian consistent with our conjectured Regge growth bound. Our conjecture thus implies that the Einstein four graviton S-matrix does not admit any physically acceptable polynomial modifications for $D\leq 6$. A preliminary analysis also suggests that every finite sum of pole exchange contributions to four graviton scattering also such violates our conjectured Regge growth bound, at least when $D\leq 6$, even when the exchanged particles have low spin. Comment: References added |
| Databáze: | OpenAIRE |
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