High-energy behavior of Mellin amplitudes
| Autor: | Matthew Dodelson, Hirosi Ooguri |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Physics Field (physics) 010308 nuclear & particles physics Conformal field theory FOS: Physical sciences Conformal map Position and momentum space 01 natural sciences Scattering amplitude Amplitude High Energy Physics - Theory (hep-th) 0103 physical sciences Gravitational singularity Quantum field theory 010306 general physics Mathematical physics |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.101.066008 |
| Popis: | In any consistent massive quantum field theory there are well known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well defined object analogous to the scattering amplitude. We prove bounds at high energies on Mellin amplitudes in conformal field theories, valid under certain technical assumptions. Such bounds are derived by demanding the absence of spurious singularities in position space correlators. We also conjecture a stronger bound, based on evidence from several explicit examples. Comment: Version 2: added conjecture on stronger bound |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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