Münster 2002 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 23: Theory III
HK 23.2: Group Report
Wednesday, March 13, 2002, 11:15–11:45, A
Renormalization Group Flow in large Nc and beyond — •Kai Schwenzer — Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 19, 69120 Heidelberg
We calculate renormalization group flow equations for the bosonized Nambu–Jona-Lasinio model in large Nc approximation. The flow equations decouple and can be solved analytically. The solution is equal to a self consistent solution of the NJL model in the same approximation, which shows that flow equations are a promising method to solve the NJL model. Including explicit chiral symmetry breaking, the large Nc approximation describes physics reasonably well. We further compare the analytic solution to the usually used polynomial truncation and find consistency. Further we also discuss the inclusion of meson loops by an extension to higher orders in 1/Nc.