Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Ryuichiro Kitano, Ryutaro Matsudo, Norikazu Yamada, Masahito Yamazaki,
| Summary:
We propose a subvolume method to study the $theta$ dependence of the free
energy density of the four-dimensional SU($N$) Yang-Mills theory on the
lattice. As an attempt, the method is first applied to SU(2) Yang-Mills theory
at $T=1.2,T_c$ to understand the systematics of the method. We then proceed to
the calculation of the vacuum energy density and obtain the $theta$ dependence
qualitatively different from the high temperature case. The numerical results
combined with the theoretical requirements provide the evidence for the
spontaneous CP violation at $theta = pi$, which is in accordance with the
large $N$ prediction and indicates that the similarity between 4d SU($N$) and
2d CP$^{N-1}$ theories does not hold for $N$=2.
| Search Query: ArXiv Query: search_query=au:”Masahito Yamazaki”&id_list=&start=0&max_results=10