Direct-Channel Resonances, Asymptotic Behavior of the Scattering Amplitude, and Degeneracy of the Resonance Levels

1969 ◽  
Vol 187 (5) ◽  
pp. 1964-1966 ◽  
Author(s):  
A. KRZYWICKI
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitude ◽  
Direct Channel

ASYMPTOTIC AdS STRING SOLUTIONS FOR NULL POLYGONAL WILSON LOOPS IN R1,2

2010 ◽  
Vol 25 (30) ◽  
pp. 2555-2569 ◽  
Author(s):  
SHIJONG RYANG
Keyword(s):  
Asymptotic Behavior ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Scattering Amplitude ◽  
Wilson Loops ◽  
String Solution ◽  
Reality Condition ◽  
Linear Problems ◽  
Two Parameters

For the asymptotic string solution in AdS3 which is represented by the AdS3 Poincaré coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS4 Poincaré coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R1,2 owing to the relations of Stokes matrices. For the tetragonal Wilson loop we construct a string solution characterized by two parameters by solving the auxiliary linear problems and demanding a reality condition, and analyze the asymptotic behavior of the solution in R1,2. The freedoms of two parameters are related with some conformal SO(2,4) transformations.

Sign in / Sign up

Export Citation Format

Share Document