How to get from imaginary to real chemical potential

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ar X iv : h ep - t h / 06 10 24 3 v 2 30 O ct 2 00 6 How to get from imaginary to real chemical potential

Using the exactly solvable Gross-Neveu model as theoretical laboratory, we analyse in detail the relationship between a relativistic quantum field theory at real and imaginary chemical potential. We find that one can retrieve the full information about the phase diagram of the theory from an imaginary chemical potential calculation. The prerequisite is to evaluate and analytically continue the ...

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Analytic continuation from imaginary to real chemical potential in two-color QCD

The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign problem. We find that the method gives reliable results, within appropriate ranges of the chemical potential, and that a considerable improvement can be achiev...

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Testing Imaginary Vs . Real Chemical Potential in Finite - Temperature Qcd

One suggestion for determining the properties of QCD at finite temperatures and densities is to carry out lattice simulations with an imaginary chemical potential whereby no sign problem arises, and to convert the results to real physical observables only afterwards. We test the practical feasibility of such an approach for a particular class of physical observables, spatial correlation lengths...

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Real and Imaginary Chemical Potential in 2-color Qcd

In this paper we study the finite temperature SU(2) gauge theory with staggered fermions for non-zero imaginary and real chemical potential. The method of analytical continuation of Monte Carlo results from imaginary to real chemical potential is tested by comparison with simulations performed directly for real chemical potential. We discuss the applicability of the method in the different regi...

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2007

ISSN: 1550-7998,1550-2368

DOI: 10.1103/physrevd.75.025003