Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Norikazu Yamada, Masahito Yamazaki, Ryuichiro Kitano, ,
| Summary:
We present an exploratory study to determine the confinement-deconfinement
transition temperature at finite $theta$, $T_c(theta)$, for the 4d SU(2)
pure Yang-Mills theory. Lattice numerical simulations are performed on three
spatial sizes $N_S=24$, $32$, $48$ with a fixed temporal size $N_T=8$. We
introduce a non-zero $theta$-angle by the sub-volume method to mitigate the
sign problem. By taking advantage of the universality in the second order phase
transition and the Binder cumulant of the order parameter, the
$theta$-dependence of $T_c$ is determined to be
$T_c(theta)/T_c(0)=1-0.16(2),(theta/pi)^2-0.03(4),(theta/pi)^4$ up to
$thetasim 0.9,pi$. The reliability of the extrapolations in the sub-volume
method is extensively checked. We also point out that the temperature
dependence of the topological susceptibility should exhibit a singularity with
the exponent for the specific heat.
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