Quantum corrections to the string Bethe ansatz

By R. Hernández, Esperanza Lopez. 2006

235 citations recorded by the source corpus.

One-loop corrections to the energy of semiclassical rotating strings contain both analytic and non-analytic terms in the ’t Hooft coupling. Analytic contributions agree with the prediction from the string Bethe ansatz based on the classical S-matrix, but in order to include non-analytic contributions quantum corrections are required. We find a general expression for the first quantum correction to the string Bethe ansatz.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/eba03210cbdac04f206722ebba13c4c05f7a71ee

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In Nuclear and High Energy Physics

Citations in the corpus

Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, background): “The specific form of the dressing factor is now believed to be known through a series of works [16, 17, 18, 19, 20, 21] and the first nontrivial coefficient at weak coupling was checked by a direct perturbative evaluation [22].”
Finite-size effects from giant magnons (2006, background): “Substituting all these solutions into the string action (2.5), we end up with the gauge-fixed action (2.10)S = √ λ 2π r∫ −r dσ dτ ( piẋ i −H), where (2.11)H = −p− ( xi, x′ i ) is the density of the world-sheet Hamiltonian which depends only on the physical (transverse) fields xi .”
Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “The solution of these BA equations in the strong coupling limit, to the leading and subleading order, proceeds as in the AdS5×S(5) case [33, 28] (see [26, 29] for the inclusion of the one-loop corrections to the dressing phase).”
String hypothesis for the AdS5 × S5 mirror (2009, background): “Combining the functional form of the dressing factor together with the first two known orders in the strong coupling expansion [17, 23], a set of solutions to the crossing equation in terms of an all-order strong coupling asymptotic series has been proposed [24].”
Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “Perhaps a profitable route to finding these corrections is to follow the strategy of [54] and construct the phase by matching it with the one-loop corrections to the circular string rotating entirely in AdS4.”
T-systems and Y-systems in integrable systems (2010, background): “We do not intend to cover them here but refer to the literatures that will be cited in the next subsection and [179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192] for example and references therein.”
The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring (2006, result): “A physically relevant solution of the crossing relation, which successfully reproduces the known string theory data was conjectured in [9], building on the previous work [10, 11, 12].”
Strong-coupling expansion of cusp anomaly from quantum superstring (2007, background): “Indeed, while the expressions for the tree-level [19] and the 1-loop [20, 21] terms in the strong-coupling expansion for the phase where essentially put into the Bethe ansatz expression from the known string theory results, the higher order terms in the phase where conjectured in [17] using the cros”
Wrapping interactions at strong coupling: The giant magnon (2007, unknown): “22 08 ∗e-mail: ufrjanik@if.uj.edu.pl †e-mail: tomaszlukowski@gmail.com”
Foundations of the AdS5 × S5 superstring: I (2009, background): “Combining the functional form of the dressing factor together with the first two known orders in the strong coupling expansion [18, 30], a set of solutions to the crossing equation in terms of an all-order strong coupling asymptotic series has been proposed [31].”
Wrapping at four loops in N=4 SYM theory (2007, unknown): “35 22 v3 [ ∗francesco.fiamberti@mi.infn.it alberto.santambrogio@mi.infn.it csieg@mi.infn.it daniela.zanon@mi.infn.it”
A Crossing-Symmetric Phase for AdS5 x S5 Strings (2006, unknown): “which follows from a one-loop comparison with spinning string energies [27, 17, 28].”
On string S-matrix, bound states and TBA (2007, background): “The next-to-leading contribution is [16]:”