Abstract
We calculate one-loop corrections to the mass for the zero mode of scalar field in a six-dimensional Yang-Mills theory compactified on a torus with magnetic flux. It is shown that these corrections are exactly cancelled thanks to a shift symmetry under the translation in extra spaces. This result is expected from the fact that the zero mode of scalar field is a Nambu-Goldstone boson of the translational invariance in extra spaces.
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ArXiv ePrint: 1904.06028
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Hirose, T., Maru, N. Cancellation of one-loop corrections to scalar masses in Yang-Mills theory with flux compactification. J. High Energ. Phys. 2019, 54 (2019). https://doi.org/10.1007/JHEP08(2019)054
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DOI: https://doi.org/10.1007/JHEP08(2019)054