Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-31
Nucl.Phys. A703 (2002) 327-345
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, three figures in one PS file. In this improved version, the writing of the 3D potential is straightforward
Scientific paper
10.1016/S0375-9474(01)01341-0
We apply the 3D reduction method we recently proposed for the N-particle Bethe-Salpeter equation to the 4-particle case. We find that the writing of the Bethe-Salpeter equation is not a straightforward task when N is larger or equal to 4, owing to the presence of mutually unconnected interactions, which could lead to an overcounting of some diagrams in the resulting full propagator. We overcome this difficulty in the N=4 case by including three counterterms in the Bethe-Salpeter kernel. The application of our 3D reduction method to the resulting Bethe-Salpeter equation suggests us a modified 3D reduction method, which gives directly the 3D potential, without the need of writing the Bethe-Salpeter kernel explicitly. The modified reduction method is usable for all N.
No associations
LandOfFree
Bound state equation for 4 or more relativistic particles 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 Bound state equation for 4 or more relativistic particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound state equation for 4 or more relativistic particles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-301785