Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Norikazu Yamada, Masahito Yamazaki, Ryuichiro Kitano, ,
| Summary:
We apply the previously-developed sub-volume method to study the
$theta$-dependence of the four-dimensional SU(2) Yang-Mills theory. We
calculate the first two coefficients, the topological susceptibility $chi$ and
the fourth cumulant $b_2$, in the $theta$-expansion of the free energy density
around the critical temperature for the confinement-deconfinement transition.
Lattice calculations are performed with three different spatial sizes
$24^3,32^3,48^3$ to monitor finite size effects, while the temporal size is
fixed to be $8$. The sub-volume method allows us to determine the values of
$b_2$ much more accurately than the standard full-volume method, and we have
successfully measured the temperature dependence of $b_2$ around the critical
temperature. Our numerical results suggest that the $theta$-dependence of the
free energy density changes approximately from $4chi(1-cos(theta/2))$ to
$chi(1-costheta)$ near $theta=0$ as the temperature increases.
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