Exploring Reggeon bound states in strongly-coupled \(\mathcal{N} = 4\) super Yang-Mills. (English) Zbl 1521.81365
Summary: The multi-Regge limit of scattering amplitudes in strongly-coupled \(\mathcal{N} = 4\) super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this setup in certain kinematical regions due to excitations of the TBA equations which appear during the analytic continuation into these kinematical regions. So far, these analytic continuations were carried out on a case-by-case basis for the six- and seven-gluon remainder function. In this note, we show that the set of possible excitations appearing in any analytic continuation in the multi-Regge limit for any number of particles is rather constrained. In particular, we show that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the two-Reggeon BFKL eigenvalue appearing in the six-gluon case.
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 83C30 | Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81U05 | \(2\)-body potential quantum scattering theory |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
Keywords:
scattering amplitudes; AdS-CFT correspondence; supersymmetric gauge theory; integrable field theoriesReferences:
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