A new derivation of Luscher F-term and fluctuations around the giant magnon

Michal P. Heller; Romuald A. Janik; Tomasz Lukowski

doi:10.1088/1126-6708/2008/06/036

A new derivation of Luscher F-term and fluctuations around the giant magnon

Michal P. Heller, Romuald A. Janik, Tomasz Lukowski

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Abstract

In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

Original language	English
Journal	Journal of High Energy Physics (JHEP)
DOIs	https://doi.org/10.1088/1126-6708/2008/06/036
Publication status	Published - 29 Jan 2008

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hep-th

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10.1088/1126-6708/2008/06/036

0801.4463v3Accepted author manuscript, 174 KB

Cite this

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title = "A new derivation of Luscher F-term and fluctuations around the giant magnon",

abstract = " In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations. ",

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author = "Heller, {Michal P.} and Janik, {Romuald A.} and Tomasz Lukowski",

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AU - Janik, Romuald A.

AU - Lukowski, Tomasz

N1 - 15 pages, no figures; v2: added assumption on diagonal scattering and a section on generalizations; v3: minor changes, version accepted for publication in JHEP

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N2 - In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

AB - In this paper we give a new derivation of the generalized Luscher F-term formula from a summation over quadratic fluctuations around a given soliton. The result is very general providing that S-matrix is diagonal and is valid for arbitrary dispersion relation. We then apply this formalism to compute the leading finite size corrections to the giant magnon dispersion relation coming from quantum fluctuations.

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U2 - 10.1088/1126-6708/2008/06/036

DO - 10.1088/1126-6708/2008/06/036

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JO - Journal of High Energy Physics (JHEP)

JF - Journal of High Energy Physics (JHEP)

ER -

A new derivation of Luscher F-term and fluctuations around the giant magnon

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