TY - JOUR
T1 - Finite-size effects for single spike
AU - Ahn, Changrim
AU - Bozhilov, P.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - We use the reduction of the string dynamics on R t × S 3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the correspondence. In the framework of this approach, we find finite-size string solutions, their images in the (complex) sine-Gordon system, and the leading finite-size effects of the single spike ''E-Δ'' relation for both R t × S 2 and R t × S 3 cases.
AB - We use the reduction of the string dynamics on R t × S 3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the correspondence. In the framework of this approach, we find finite-size string solutions, their images in the (complex) sine-Gordon system, and the leading finite-size effects of the single spike ''E-Δ'' relation for both R t × S 2 and R t × S 3 cases.
KW - AdS-CFT correspondence
KW - Integrable equations in physics
UR - http://www.scopus.com/inward/record.url?scp=49749119978&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2008/07/105
DO - 10.1088/1126-6708/2008/07/105
M3 - Article
AN - SCOPUS:49749119978
SN - 1126-6708
VL - 2008
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 105
ER -