MODEL STUDY OF THE SIGN PROBLEM IN A MEAN-FIELD APPROXIMATION.

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We study the sign problem of the fermion determinant at nonzero baryon chemical potential. For this purpose we apply a simple model derived from Quantum Chromodynamics, in the limit of large chemical potential and mass. For SU(2) color, there is no sign problem and the mean-field approximation is similar to data from the lattice. For SU(3) color the sign problem is unavoidable, even in a mean-field approximation. We apply a phase-reweighting method, combined with the mean-field approximation, to estimate thermodynamic quantities. We also investigate the meanfield free energy using a saddle-point approximation [1].

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HIDAKA,Y. July 30, 2007.

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We study the sign problem of the fermion determinant at nonzero baryon chemical potential. For this purpose we apply a simple model derived from Quantum Chromodynamics, in the limit of large chemical potential and mass. For SU(2) color, there is no sign problem and the mean-field approximation is similar to data from the lattice. For SU(3) color the sign problem is unavoidable, even in a mean-field approximation. We apply a phase-reweighting method, combined with the mean-field approximation, to estimate thermodynamic quantities. We also investigate the meanfield free energy using a saddle-point approximation [1].

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  • XXV INTERNATIONAL SYMPOSIUM ON LATTICE FIELD THEORY; REGENSBURG, GERMANY; 20070730 through 20070804

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  • Report No.: BNL--79725-2007-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 922239
  • Archival Resource Key: ark:/67531/metadc898509

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  • July 30, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 1, 2016, 5:46 p.m.

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HIDAKA,Y. MODEL STUDY OF THE SIGN PROBLEM IN A MEAN-FIELD APPROXIMATION., article, July 30, 2007; United States. (digital.library.unt.edu/ark:/67531/metadc898509/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.