Thirring model at finite density in 2+1 dimensions with stochastic quantization

We consider a generalization of the Thirring model in 2+1 dimensions at finite density. We employ stochastic quantization and check for the applicability in the finite density case to circumvent the sign problem. To this end we derive analytical results in the heavy dense limit and compare with nume...

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Bibliographic Details
Main Authors: Pawlowski, Jan M. (Author) , Zielinski, Christian (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2013
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1302.2249
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Author Notes:Jan M. Pawlowski and Christian Zielinski
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Summary:We consider a generalization of the Thirring model in 2+1 dimensions at finite density. We employ stochastic quantization and check for the applicability in the finite density case to circumvent the sign problem. To this end we derive analytical results in the heavy dense limit and compare with numerical ones obtained from a complex Langevin evolution. Furthermore we make use of indirect indicators to check for incorrect convergence of the underlying complex Langevin evolution. The method allows the numerical evaluation of observables at arbitrary values of the chemical potential. We evaluate the results and compare to the (0+1)-dimensional case.
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