Cancellation of One-loop Corrections to Scalar Masses in Yang-Mills Theory with Flux Compactification
arXiv:1904.06028 · doi:10.1007/JHEP08(2019)054
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.
21 pages, 8 figures