Volume 340 - The 39th International Conference on High Energy Physics (ICHEP2018) - Parallel: Formal Theory
$\theta=\pi$ in $SU(N)/Z_N$ Theory
T. Suyama
Full text: pdf
Published on: August 02, 2019
Abstract
We discuss the spontaneous CP violation in Yang-Mills theory in four dimensions with the gauge group ${\rm SU}(N)$. For this purpose, we investigate Yang-Mills theory on $T^4$ with the gauge group ${\rm SU}(N)/\mathbb{Z}_N$ instead. The finite volume correction in this theory strongly suggests that the free energy density has a cusp in the range $(0,\pi)$ of the $\theta$-angle. This then implies the existence of the same cusp at $\theta=\pi$ in ${\rm SU}(N)$ theory, indicating the spontaneous CP violation.
DOI: https://doi.org/10.22323/1.340.0619
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.