  Recently a substantial part of globular cluster population has been
established as GeV gamma-ray sources by the Fermi-LAT telescope. We investigate
possible production of the high energy gamma-rays by relativistic electrons
injected from the population of fast rotating, magnetized White Dwarfs within
the globular cluster. These electrons comptonize the radiation field within the
globular cluster. We conclude that gamma-rays produced by electrons accelerated
by the whole population of White Dwarfs within a specific cluster are on the
level of detectability of the future Cherenkov telescope array provided that a
few thousand of magnetized White Dwarfs have been created uniformly during the
lifetime of the globular cluster.
