Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-19
Phys.Rev.D84:026006,2011
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 5 figures
Scientific paper
10.1103/PhysRevD.84.026006
We study the properties of the leading Regge trajectory in open string theory including the open string planar one-loop corrections. With SU(N) Chan-Paton factors, the sum over planar open string multi-loop diagrams describes the 't Hooft limit N\to\infty. Our motivation is to improve the understanding of open string theory at finite \alpha' as a model of gauge theories. SU(N) gauge theories in D space-time dimensions are described by requiring open strings to end on a stack of N Dp-branes of space-time dimension D=p+1. The large N leading trajectory \alpha(t)=1+\alpha' t+\Sigma(t) can be extracted, through order g^2, from the s\to-\infty limit, at fixed t, of the four open string tree and planar loop diagrams. We analyze the t\to0 behavior with the result that \Sigma(t)\sim-Cg^2(-\alpha' t)^{(D-4)/2}/(D-4). This result precisely tracks the 1-loop Reggeized gluon of gauge theory in D>4 space-time dimensions. In particular, for D\to4 it reproduces the known infrared divergences of gauge theory in 4 dimensions with a Regge trajectory behaving as -\ln(-\alpha^\prime t). We also study \Sigma(t) in the limit t\to-\infty and show that, when D<8, it behaves as \alpha^\prime t/(\ln(-\alpha^\prime t))^{\gamma}, where \gamma>0 depends on D and the number of massless scalars. Thus, as long as 4
Rojas Francisco
Thorn Charles B.
No associations
LandOfFree
The Open String Regge Trajectory and Its Field Theory Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Open String Regge Trajectory and Its Field Theory Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Open String Regge Trajectory and Its Field Theory Limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-70766