Wrapping interactions at strong coupling: The giant magnon

By Romuald A. Janik, Tomasz Lukowski. 2007

155 citations recorded by the source corpus.

We derive generalized Luescher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS{sub 5}xS{sup 5} superstring these formulas encode leading wrapping interaction effects. We apply the generalized {mu}-term formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov, and Zamaklar. The agreement involved a Borel resummation of all even loop orders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1befac9d7f86528066d014e16dbc18bc9d47e405

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In Astronomy and Astrophysics

1. G. Arutyunov
2. S. Frolov
3. Z. Bajnok
4. Romuald A. Janik
5. Tomasz Lukowski
6. A. Rej
7. V. Velizhanin
8. Á. Hegedűs

In Nuclear and High Energy Physics

1. S. Frolov
2. Romuald A. Janik
3. G. Arutyunov
4. Tomasz Lukowski
5. Z. Bajnok
6. A. Rej
7. N. Beisert
8. V. Velizhanin

Citations in the corpus

• Four loop twist two, BFKL, wrapping and strings (2008, methodology): “In [21] the leading exponential finite size effects at strong coupling for a single giant magnon were computed from the identification with Lüscher-like corrections (see also [22, 23, 24]) and turned out to agree exactly with the expression obtained from classical string solution [25].”
• Foundations of the AdS5 × S5 superstring: I (2009, methodology): “To compute the leading exponential corrections, one can adapt Lüscher’s formulae [43, 44] for the non-Lorentz-invariant case at hand [45].”
• 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”
• On string S-matrix, bound states and TBA (2007, methodology): “We will be using the Hopf algebra introduced in [47] which is basically equivalent to the Hopf algebras discussed in [65], see also (6)The finite-size correction to the dispersion relation found in [32] involves the coefficients a1, a2 and a6 of S (see [47] for notation) which are unaffected by this”
• Five loop Konishi from AdS/CFT (2009, methodology): “The corrections to the Asymptotic Bethe Ansatz can be identified with wrapping corrections [30], and the leading Lüscher corrections for single [31] and multiparticle states [32] have been derived for this (nonrelativistic) theory.”
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, methodology): “For related issues see also the derivation of the μ term for a moving one particle state [33].”
• Five-loop anomalous dimension of twist-two operators (2009, methodology): “In the seminal paper [19] it was proposed to evaluate the Lüscher corrections, previously proposed for the AdS5 × S 5 sigma model in [20], to calculate the leading wrapping corrections to the simplest unprotected operator in the sl(2) sector, the Konishi operator.”