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Title: Lattice QCD at non-zero isospin chemical potential

Abstract

Systems of non-zero isospin chemical potential are studied from a canonical approach by computing correlation functions with the quantum numbers of N π(+)'s (C(N)(π)). In order to reduce the number of contractions required in calculating C(N)(π) for a large N in the Wick's theorem, we constructed a few new algorithms. With these new algorithms, systems with isospin charge up to 72 are investigated on three anisotropic gauge ensembles with a pion mass of 390 MeV, and with lattice spatial extents L ~ 2.0, 2.5, 3.0 fm. The largest isospin density of ρ(I) thickapprox 9 fm(-)(3) is achieved in the smallest volume, and the QCD phase diagram is investigated at a fixed low temperature at varying isospin chemical potentials, m(π) ≤ μ(I) ≤ 4.5 m(π). By investigating the behaviour of the extracted energy density of the system at different isospin chemical potentials, we numerically identified the conjectured transition to a Bose-Einstein condensation state at μ(I) ≥ m(π).

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1079969
Report Number(s):
JLAB-THY-12-1678; DOE/OR/23177-2566
Journal ID: ISSN 1742-6588
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Conference
Journal Name:
Journal of Physics. Conference Series
Additional Journal Information:
Journal Volume: 432; Conference: Extreme QCD 2012 (XQCD12), 21-23 Aug 2012. Washington, USA; Journal ID: ISSN 1742-6588
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Shi, Zhifeng. Lattice QCD at non-zero isospin chemical potential. United States: N. p., 2013. Web. doi:10.1088/1742-6596/432/1/012026.
Shi, Zhifeng. Lattice QCD at non-zero isospin chemical potential. United States. https://doi.org/10.1088/1742-6596/432/1/012026
Shi, Zhifeng. Tue . "Lattice QCD at non-zero isospin chemical potential". United States. https://doi.org/10.1088/1742-6596/432/1/012026.
@article{osti_1079969,
title = {Lattice QCD at non-zero isospin chemical potential},
author = {Shi, Zhifeng},
abstractNote = {Systems of non-zero isospin chemical potential are studied from a canonical approach by computing correlation functions with the quantum numbers of N π(+)'s (C(N)(π)). In order to reduce the number of contractions required in calculating C(N)(π) for a large N in the Wick's theorem, we constructed a few new algorithms. With these new algorithms, systems with isospin charge up to 72 are investigated on three anisotropic gauge ensembles with a pion mass of 390 MeV, and with lattice spatial extents L ~ 2.0, 2.5, 3.0 fm. The largest isospin density of ρ(I) thickapprox 9 fm(-)(3) is achieved in the smallest volume, and the QCD phase diagram is investigated at a fixed low temperature at varying isospin chemical potentials, m(π) ≤ μ(I) ≤ 4.5 m(π). By investigating the behaviour of the extracted energy density of the system at different isospin chemical potentials, we numerically identified the conjectured transition to a Bose-Einstein condensation state at μ(I) ≥ m(π).},
doi = {10.1088/1742-6596/432/1/012026},
url = {https://www.osti.gov/biblio/1079969}, journal = {Journal of Physics. Conference Series},
issn = {1742-6588},
number = ,
volume = 432,
place = {United States},
year = {2013},
month = {4}
}

Conference:
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