20012002 CPPACS Collab KK 60 T Umeda Hiroshima

2001~2002年 CP-PACS Collab. KK 60研究会 T. Umeda (Hiroshima) 3 / 16

2007~2008年 WHOT-QCD Collab. W(ilson quark を用いた)Hot(&Dense)-QCD (研究の為の) Collaboration KK 60研究会 T. Umeda (Hiroshima) 7 / 16

Equation of State in quenched QCD @ Lattice 2008 n Integration is performed with the cubic spline of (e-3 p)/T 4 n Our results are roughly consistent with previous results. -- mild scale violation -- Large volume is important n Unlike the fixed Nτ approach, scale/temp. is not constant. Lattice artifacts increase as temperature increases. T. Umeda et al. (WHOT-QCD) Phys. Rev. D 79 (2009) 051501. Lattice 2008 T. Umeda (Tsukuba) 9 / 16 9 /16

Equation of State in Nf=2+1 QCD @ Lattice 2012 EOS is obtained by temperature integration SB limit in the Fixed scale approach Some groups adopted the approach - tmf. T, ar. Xiv: 1311. 1631 - Wuppertal, JHEP 08(2012)126. T. Umeda et al. (WHOT-QCD) Phys. Rev. D 85 (2012) 094508 KK 60研究会 However possible temperatures are restricted by integer Nt T. Umeda (Hiroshima) 10 / 16

Toward the physical point @ Lattice 2015 KK 60研究会 T. Umeda (Hiroshima) 11 / 16

Shifted boundary conditions at the fixed scale time L. Giusti and H. B. Meyer, Phys. Rev. Lett. 106 (2011) 131601. space By using the shifted boundary various T’s are realized with the same lattice spacing T resolution is largely improved while keeping advantages of the fixed scale approach KK 60研究会 T. Umeda (Hiroshima) 12 / 16

Trace anomaly ( e-3 p )/T 4 w/o shifted boundary w/ shifted boundary T. Umeda, Phys. Rev. D 90 (2014) 5, 054511 KK 60研究会 T. Umeda (Hiroshima) 13 / 16

Critical temperature Tc Plaquette value Plaquette susceptibility T. Umeda, Phys. Rev. D 90 (2014) 5, 054511 Plaq. suscep. has a peak around T = 294 Me. V KK 60研究会 T. Umeda (Hiroshima) 14 / 16

Gradient flow を用いた熱力学量の計算 KK 60研究会 T. Umeda (Hiroshima) 15 / 16