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HK: Physik der Hadronen und Kerne

HK 25: Theorie IV

HK 25.7: Talk

Tuesday, March 20, 2001, 18:15–18:30, F

Numerical Solutions of Dyson-Schwinger and Bethe-Salpeter Equations — •S. Ahlig¹, R. Alkofer¹, C. Fischer¹, M. Oettel¹, and L. von Smekal² — ¹Inst. f. Theor. Physics, Tübingen University — ²Inst. f. Theor. Physics III, Erlangen University

Dyson-Schwinger equations have proven to be a well suited and versatile tool for the nonperturbative investigation of the propagators of gluons, ghosts and quarks [1]. On the one hand, the infrared behaviour of these propagators is intimately tied to the confinement problem. On the other hand, the connection to phenomenology is straightforward because the propagators are the basic ingredients to the calculation of mesonic and baryonic bound states using the Bethe-Salpeter equation. In this talk we focus on the interplay of the Dyson-Schwinger and Bethe-Salpeter equations as well as on the analytical and numerical methods that are used to obtain solutions.

[1] The Infrared Behavior of QCD Green’s Functions, R. Alkofer and L. v. Smekal, Phys. Rep., in press, hep-ph/0007355 Supported by DFG (Al 279/3-3), by COSY (contract 41376610) and by the European Graduate School Tübingen–Basel.