Magnetic Monopoles in Multivector Boson Theories
Kiyoshi Shiraishi (Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753-8512, Japan)
; Koichiro Kobayashi (National Institute of Technology, Oshima College, Suooshima-cho, Yamaguchi 742-2193, Japan); Nahomi Kan (National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495, Japan)
A classical solution for a magnetic monopole is found in a specific multivector boson theory. We consider the model whose gauge group is broken by sigma model fields (à la dimensional deconstruction) and further spontaneously broken by an adjoint scalar (à la triplet Higgs mechanism). In this multivector boson theory, we find the solution for the monopole whose mass is , where is the common gauge coupling constant and is the vacuum expectation value of the triplet Higgs field, by using a variational method with the simplest set of test functions.