Key Laboratory of Radiation Physics and Technology (Ministry of Education), Sichuan University, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064
Lattice QCD Study of the σ Meson
FU Zi-Wen**
Key Laboratory of Radiation Physics and Technology (Ministry of Education), Sichuan University, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064
摘要We study the σ meson in 2+1 flavor full quantum chromodynamics (QCD) with sufficiently light u and d quarks. The point−to-point correlator is measured for the σ channel in the “Asqtad” improved staggered fermion formulation. Particular attention is paid to its disconnected diagram and bubble contribution. After chiral extrapolation, we obtain the σ mass with 706±53 MeV, which is close to the observed σ meson within error, and is heavier than the ππ threshold. The simulations are carried out with MILC 2+1 flavor gauge configurations at lattice spacing of a≈0.15 fm.
Abstract:We study the σ meson in 2+1 flavor full quantum chromodynamics (QCD) with sufficiently light u and d quarks. The point−to-point correlator is measured for the σ channel in the “Asqtad” improved staggered fermion formulation. Particular attention is paid to its disconnected diagram and bubble contribution. After chiral extrapolation, we obtain the σ mass with 706±53 MeV, which is close to the observed σ meson within error, and is heavier than the ππ threshold. The simulations are carried out with MILC 2+1 flavor gauge configurations at lattice spacing of a≈0.15 fm.
FU Zi-Wen**
. Lattice QCD Study of the σ Meson[J]. 中国物理快报, 2011, 28(8): 81202-081202.
FU Zi-Wen**
. Lattice QCD Study of the σ Meson. Chin. Phys. Lett., 2011, 28(8): 81202-081202.
[1] Igi K and Hikasa K I 1999 Phys. Rev. D 59 034005
[2] Nakamura K et al 2010 J. Phys. G 37 075021
[3] Alfold M and Jaffe R L 2000 Nucl. Phys. B 578 367
[4] DeTar C and Kogut J B 1987 Phys. Rev. D 36 2828
[5] McNeile C and Michael C 2001 Phys. Rev. D 63 114503
[6] Prelovsek S and Orginos K 2003 Nucl. Phys. Proc. Suppl. 119 822
[7] Mathur N, Alexandru A, Chen Y, Dong S J, Draper T, Horváth I, Lee F X, Liu K F, Tamhankar S and Zhang J B 2007 Phys. Rev. D 76 114505
[8] Prelovsek S, Draper T, Lang C B, Limmer M, Liu K F, Mathur N and Mohler D 2010 Phys. Rev. D 82 094507
[9] Muroya S, Nakamura A, Nonaka C, Sekiguchi N and Wada H 2002 Nucl. Phys. Proc. Suppl. 106 272
[10] Kunihiro T, Muroya S, Nakamura A, Nonaka C, Sekiguchi M and Wada H 2004 Phys. Rev. D 70 034504
[11] FU Z W 2006 PhD dissertation (Salt Lake City, University of Utah) arXiv:1103.1541[hep-lat]
[12] Bernard C, DeTar C, Fu Z W and Prelovsek S 2007 Phys. Rev. D 76 094504
[13] Prelovsek S 2006 PoS LAT2005 085
[14] Prelovsek S 2006 Phys. Rev. D 73 014506
[15] Aubin C, Bernard C, DeTar C, Osborn J, Gottlieb S, Gregory E B, Toussaint D, Heller U M, Hetrick J E and Sugar R 2004 Phys. Rev. D 70 094505
[16] Bazavov A et al 2010 Rev. Mod. Phys. 82 1349
[17] Aubin C, Bernard C, DeTar C, Osborn J, Gottlieb S, Gregory E B and Toussaint D, Heller U M, Hetrick J E, and Sugar R C 2004 Phys. Rev. D 70 114501
[18] Fu Z W and DeTar C 2011 Chin. Phys. C (accepted)
[19] Nebreda J and Pelaez J R 2010 Phys. Rev. D 81 054035
[20] Caprini I, Colangelo G and Leutwyler H 2006 Phys. Rev. Lett. 96 132001