TY - JOUR

T1 - Model approach to the sign problem on lattice QCD with theta vacuum

AU - Sasaki, Takahiro

AU - Takahashi, Junichi

AU - Sakai, Yuji

AU - Kouno, Hiroaki

AU - Yahiro, Masanobu

N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 23-2790. The numerical

PY - 2012

Y1 - 2012

N2 - We propose a practical way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term. This method is the reweighting method for the QCD Lagrangian after the SUA(3)?UA(1) transformation. In the Lagrangian, the P-odd mass term as a cause of the sign problem is minimized. Additionally, we investigate theta-vacuum effects on the QCD phase diagram for the realistic 2+1 flavor system, using the three-flavor Polyakov-extended Nambu-Jona- Lasinio (PNJL) model and the entanglement PNJL model as an extension of the PNJL model. The theta-vacuum effects make the chiral transition sharper. We finally investigate theta dependence of the transition temperature and compare with the result of the pure gauge lattice simulation with imaginary theta parameter.

AB - We propose a practical way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term. This method is the reweighting method for the QCD Lagrangian after the SUA(3)?UA(1) transformation. In the Lagrangian, the P-odd mass term as a cause of the sign problem is minimized. Additionally, we investigate theta-vacuum effects on the QCD phase diagram for the realistic 2+1 flavor system, using the three-flavor Polyakov-extended Nambu-Jona- Lasinio (PNJL) model and the entanglement PNJL model as an extension of the PNJL model. The theta-vacuum effects make the chiral transition sharper. We finally investigate theta dependence of the transition temperature and compare with the result of the pure gauge lattice simulation with imaginary theta parameter.

UR - http://www.scopus.com/inward/record.url?scp=85030118177&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030118177&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85030118177

SN - 1824-8039

VL - Part F130497

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 067

T2 - 30th International Symposium on Lattice Field Theory, Lattice 2012

Y2 - 24 June 2012 through 29 June 2012

ER -