Lattice QCD at finite isospin chemical potential and temperature.

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We simulate lattice QCD at a finite chemical potential {mu}{sub I} for isospin (I{sub 3}) at zero and finite temperatures. At some {mu}{sub I} = {mu}c QCD has a second order transition with mean-field critical exponents to a state where (I{sub 3}) is broken spontaneously by a charged pion condensate. Heating the system with {mu}{sub I} > {mu}{sub c} we find there is some temperature at which this condensate evaporates. This transition appears to be second order and mean-field at lower {mu}{sub I} values, and first order for {mu}{sub I} sufficiently large. We are determining the dependence of the finite ... continued below

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Kogut, J. B. & Sinclair, D. K. October 8, 2002.

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We simulate lattice QCD at a finite chemical potential {mu}{sub I} for isospin (I{sub 3}) at zero and finite temperatures. At some {mu}{sub I} = {mu}c QCD has a second order transition with mean-field critical exponents to a state where (I{sub 3}) is broken spontaneously by a charged pion condensate. Heating the system with {mu}{sub I} > {mu}{sub c} we find there is some temperature at which this condensate evaporates. This transition appears to be second order and mean-field at lower {mu}{sub I} values, and first order for {mu}{sub I} sufficiently large. We are determining the dependence of the finite temperature crossover T{sub c} on {mu}{sub I} for {mu}{sub I} < {mu}{sub c}. This is expected to be identical to T{sub c}'s dependence on quark-number chemical potential {mu}{sub q} for small {mu}{sub q}.

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  • 20th International Symposium on Lattice Field Theory (LATTICE 2002), Boston, MA (US), 06/24/2002--06/29/2002; Other Information: PBD: 8 Oct 2002

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  • Report No.: ANL/HEP/CP-108814
  • Report No.: ANL-HEP-CP-02-062
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 803875
  • Archival Resource Key: ark:/67531/metadc741484

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  • October 8, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • March 22, 2016, 2:46 p.m.

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Kogut, J. B. & Sinclair, D. K. Lattice QCD at finite isospin chemical potential and temperature., article, October 8, 2002; Illinois. (digital.library.unt.edu/ark:/67531/metadc741484/: accessed August 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.