Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops

Fioravanti, Davide; Piscaglia, Simone; Rossi, Marco

doi:10.1016/j.nuclphysb.2015.07.007

Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops

Davide Fioravanti
(
- INFN, Bologna and
- Bologna U.
)
,
Simone Piscaglia
(
- INFN, Bologna and
- Bologna U. and
- Turin U. and
- INFN, Turin
)
,
Marco Rossi
(
- Calabria U. and
- INFN, Cosenza
)

Mar 30, 2015

100 pages

Published in:

Nucl.Phys.B 898 (2015) 301-400

Published: Jul 9, 2015

e-Print:

1503.08795 [hep-th]

DOI:

10.1016/j.nuclphysb.2015.07.007

View in:

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Abstract: (Elsevier)

Moving from Beisert–Staudacher equations, the complete set of Asymptotic Bethe Ansatz equations and S -matrix for the excitations over the GKP vacuum is found. The resulting model on this new vacuum is an integrable spin chain of length R=2ln⁡s ( s=spin ) with particle rapidities as inhomogeneities, two (purely transmitting) defects and SU(4) (residual R-)symmetry. The non-trivial dynamics of N=4 SYM appears in elaborated dressing factors of the 2D two-particle scattering factors, all depending on the ‘fundamental’ one between two scalar excitations. From scattering factors we determine bound states. In particular, we study the strong coupling limit, in the non-perturbative, perturbative and giant hole regimes. Eventually, from these scattering data we construct the 4 D pentagon transition amplitudes (perturbative regime). In this manner, we detail the multi-particle contributions (flux tube) to the MHV gluon scattering amplitudes/Wilson loops (OPE or BSV series) and re-sum them to the Thermodynamic Bubble Ansatz.

Note:

103 pages; typos corrected, references added: journal version

spin: chain
scattering: two-particle
gluon: scattering amplitude
excited state: scalar
approximation: strong coupling
Bethe ansatz
Wilson loop
defect
thermodynamical
bound state

References(83)

Figures(0)

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