Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Norikazu Yamada, Masahito Yamazaki, Ryuichiro Kitano, ,
| Summary:
We determine the $theta$ dependence of the confinement-deconfinement
transition temperature $T_c$ for the 4d SU(2) pure Yang-Mills theory. We
perform lattice numerical simulations 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 re-weighting method, which is combined with 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
$T_c(theta)/T_c(0)=1-0.016(3),theta^2+O(theta^4)$. We 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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