Worldsheet one-loop energy correction to IIA giant magnon

Xiaojian Bai; Bum Hoon Lee; I. Y. Park

doi:10.1142/S0217751X14500833

Worldsheet one-loop energy correction to IIA giant magnon

Xiaojian Bai, Bum Hoon Lee, I. Y. Park

Research output: Contribution to journal › Article › peer-review

Abstract

We compute one-loop corrections to the energy of a IIA giant magnon solution in the AdS₄× complexes P³ background by using the standard quantum field theory (QFT) techniques. The string action is expanded around the solution to the quadratic order in the fluctuation fields. The resulting action has 2D coordinate dependent-coefficients, a feature that complicates the analysis. The solution contains a worldsheet velocity parameter v, and is expanded in terms of the parameter. A perturbative analysis is carried out by treating the v-dependent parts as vertices. The energy is computed by first putting the system in a box of length L and Fourier-transforming the fields into discrete momentum modes. We compare our result with the results obtained by the algebraic curve method.

Original language	English
Article number	1450083
Journal	International Journal of Modern Physics A
Volume	29
Issue number	17
DOIs	https://doi.org/10.1142/S0217751X14500833
State	Published - 2014
Externally published	Yes

Funding

We thank Lata Kharkwal, Siyoung Nam, Chanyong Park and Pichai Ramadevi for their collaborations at various stages of the project. We also thank Arkardy Tseytlin for pointing out various references. This work was supported by the National Research Foundation grant (2005-0049409) through the Center for Quantum Space-time (CQUeST) of Sogang University.

Funders	Funder number
CQUeST
National Research Foundation	2005-0049409
Sogang University

Keywords

Classical string
giant magnon
one-loop correction

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10.1142/S0217751X14500833

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title = "Worldsheet one-loop energy correction to IIA giant magnon",

abstract = "We compute one-loop corrections to the energy of a IIA giant magnon solution in the AdS4× complexes P3 background by using the standard quantum field theory (QFT) techniques. The string action is expanded around the solution to the quadratic order in the fluctuation fields. The resulting action has 2D coordinate dependent-coefficients, a feature that complicates the analysis. The solution contains a worldsheet velocity parameter v, and is expanded in terms of the parameter. A perturbative analysis is carried out by treating the v-dependent parts as vertices. The energy is computed by first putting the system in a box of length L and Fourier-transforming the fields into discrete momentum modes. We compare our result with the results obtained by the algebraic curve method.",

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AU - Bai, Xiaojian

AU - Lee, Bum Hoon

AU - Park, I. Y.

PY - 2014

Y1 - 2014

N2 - We compute one-loop corrections to the energy of a IIA giant magnon solution in the AdS4× complexes P3 background by using the standard quantum field theory (QFT) techniques. The string action is expanded around the solution to the quadratic order in the fluctuation fields. The resulting action has 2D coordinate dependent-coefficients, a feature that complicates the analysis. The solution contains a worldsheet velocity parameter v, and is expanded in terms of the parameter. A perturbative analysis is carried out by treating the v-dependent parts as vertices. The energy is computed by first putting the system in a box of length L and Fourier-transforming the fields into discrete momentum modes. We compare our result with the results obtained by the algebraic curve method.

AB - We compute one-loop corrections to the energy of a IIA giant magnon solution in the AdS4× complexes P3 background by using the standard quantum field theory (QFT) techniques. The string action is expanded around the solution to the quadratic order in the fluctuation fields. The resulting action has 2D coordinate dependent-coefficients, a feature that complicates the analysis. The solution contains a worldsheet velocity parameter v, and is expanded in terms of the parameter. A perturbative analysis is carried out by treating the v-dependent parts as vertices. The energy is computed by first putting the system in a box of length L and Fourier-transforming the fields into discrete momentum modes. We compare our result with the results obtained by the algebraic curve method.

KW - Classical string

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VL - 29

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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M1 - 1450083

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Worldsheet one-loop energy correction to IIA giant magnon

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