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HK: Fachverband Physik der Hadronen und Kerne

HK 14: Schwerionenkollisionen und QCD Phasen

HK 14.8: Talk

Monday, March 19, 2012, 18:30–18:45, P 5

The Thirring Model at Finite Density with Stochastic Quantization — •Christian Zielinski, Jan Martin Pawlowski, and Ion-Olimpiu Stamatescu — Institute for Theoretical Physics, University of Heidelberg, Heidelberg, Germany

The Thirring model at finite density is suffering from a severe sign problem. G. Parisi proposed already in 1983 that stochastic quantization, namely a complex Langevin evolution, could solve this problem. In the literature there are both positive and negative results known regarding the correctness of the method, but to this day solid theoretical foundations are missing. We aim to check for the applicability of complex Langevin evolutions to the Thirring model by comparing analytical with numerical results. In 0+1 dimensions we solve the lattice model exactly, in 2+1 dimensions we derive an approximate partition function by employing the heavy dense limit. We present and discuss our recent findings.