Jul 4 – 11, 2018
Asia/Seoul timezone

\theta=\pi in SU(N)/Z_N Theory

Jul 7, 2018, 2:30 PM
209 (COEX, Seoul)


COEX, Seoul

Parallel Formal Theory Development Formal Theory Development


Takao Suyama (KEK)


In SU(N) gauge theory, it is argued recently that there exists a "mixed
anomaly" between the CP symmetry and the 1-form ZN symmetry at \theta=\
pi, and the anomaly matching requires CP to be spontaneously broken at \
theta=\pi if the system is in the confining phase. In this talk, we
elaborate on this discussion by examining the large volume behavior of
the partition functions of the SU(N)/Z_N theory on T^4 a la 't Hooft.
The periodicity of the partition function in \theta, which is not 2\pi
due to fractional instanton numbers, suggests the presence of a phase
transition at \theta=\pi.

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