One-loop correction to the energy of a wavy line string in AdS_5

• Main Authors: Buchbinder, E. I, Tseytlin, A. A
• Format: Journal Article
• Language: English
• Published: 18-11-2014
• Subjects: Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.1309.1581

J. Phys. A: Math. Theor. 46 (2013) 505401 We consider a computation of one-loop AdS_5 x S^5 superstring correction to
the energy radiated by the end-point of a string which moves along a wavy line
at the boundary of AdS_5 with a small transverse acceleration (the
corresponding classical solution was described by Mikhailov in hep-th/0305196).
We also compute the one-loop effective action for an arbitrary small transverse
string fluctuation background. It is related by an analytic continuation to the
Euclidean effective action describing one-loop correction to the expectation
value of a wavy Wilson line. We show that both the one-loop contribution to the
energy and to the Wilson line are controlled by the subleading term in the
strong-coupling expansion of the function B(\lambda) as suggested by Correa,
Henn, Maldacena and Sever in arXiv:1202.4455.