Lattice QCD at non-zero isospin chemical potential
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).
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1079969
- Report Number(s):
- JLAB-THY-12-1678; DOE/OR/23177-2566
- Journal Information:
- Journal of Physics. Conference Series, Vol. 432; Conference: Extreme QCD 2012 (XQCD12), 21-23 Aug 2012. Washington, USA; ISSN 1742-6588
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
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