Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-03-31
Mod.Phys.Lett. A20 (2005) 2533-2544
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 figures, LaTeX, published version
Scientific paper
10.1142/S0217732305018657
We determine the lowest bound-state pole of the density-density correlator in the scalar Wick-Cutkosky model where two equal-mass constituents interact via the exchange of mesons. This is done by employing the worldline representation of field theory together with a variational approximation as in Feynman's treatment of the polaron. Unlike traditional methods based on the Bethe-Salpeter equation, self-energy and vertex corrections are (approximately) included as are crossed diagrams. Only vacuum-polarization effects of the heavy particles are neglected. The well-known instability of the model due to self-energy effects leads to large qualitative and quantitative changes compared to traditional approaches which neglect them. We determine numerically the critical coupling constant above which no real solutions of the variational equations exist anymore and show that it is smaller than in the one-body case due to an induced instability. The width of the bound state above the critical coupling is estimated analytically.
Barro-Bergflödt K.
Rosenfelder R.
Stingl M.
No associations
LandOfFree
Worldline Variational Approximation: A New Approach to the Relativistic Binding Problem 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 Worldline Variational Approximation: A New Approach to the Relativistic Binding Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Worldline Variational Approximation: A New Approach to the Relativistic Binding Problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-617413