Wilson-line scalar as a Nambu-Goldstone boson in flux compactifications and higher-loop corrections

Abstract We study a scalar zero mode originated from extradimensional components of a gauge field in a six-dimensional theory compactified on a magnetized torus. We confirm it is a Nambu-Goldstone boson of the translational symmetry on the torus which is breaking spontaneously due to magnetic flux....

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Bibliographic Details
Main Authors: Masaki Honda, Toshihide Shibasaki
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP03(2020)031
Description
Summary:Abstract We study a scalar zero mode originated from extradimensional components of a gauge field in a six-dimensional theory compactified on a magnetized torus. We confirm it is a Nambu-Goldstone boson of the translational symmetry on the torus which is breaking spontaneously due to magnetic flux. We also show explicitly it is massless up to the two-loop level. Moreover, we discuss full order contributions by considering the effective potential.
ISSN:1029-8479