Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5

Details Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5 Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5

2010-09-13

arxiv.org/abs/1009.2318v2

J.Phys.A44:015404,2011

Physics

High Energy Physics

High Energy Physics - Theory

49 pages; v2: appendix F and note about antiperiodic fermions added, typos corrected, references added

Scientific paper

10.1088/1751-8113/44/1/015404

In the present paper, which is a sequel to arXiv:1001:4018, we compute the one-loop correction to the energy of pulsating string solutions in AdS_5 x S^5. We show that, as for rigid spinning string elliptic solutions, the fluctuation operators for pulsating solutions can be also put into the single-gap Lame' form. A novel aspect of pulsating solutions is that the one-loop correction to their energy is expressed in terms of the stability angles of the quadratic fluctuation operators. We explicitly study the "short string" limit of the corresponding one-loop energies, demonstrating a certain universality of the form of the energy of "small" semiclassical strings. Our results may help to shed light on the structure of strong-coupling expansion of anomalous dimensions of dual gauge theory operators.

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