Abstract
A classical solution for a magnetic monopole is found in a specific multivector boson theory. We consider the model whose [SU(2)]N+1 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 MN~(4πv/g)N+1, where g is the common gauge coupling constant and v is the vacuum expectation value of the triplet Higgs field, by using a variational method with the simplest set of test functions.
Highlights
The existence of magnetic monopoles has been discussed for many years, monopoles have not yet been observed experimentally.In 1931, Dirac [7] reconsidered the duality in electromagnetism and showed that the quantum mechanics of an electrically charged particle can be consistently formulated in the presence of a point magnetic charge, provided that the magnetic charge g푚 is related to the electric charge e by eg푚 = nħc/2 with an integer n
We know the exact value of the energy of the BPS limit [27, 28] for the ‘t Hooft–Polyakov monopole, which corresponds to E0 for λ = 0, as Comparing these values, we find that the energy of the BPS monopole in the multivector boson theory is obtained by replacing g → g/√N + 1 in that of the usual BPS monopole
We studied the static, spherically symmetric monopole solutions in the multivector boson theory with N + 1 sets of vector bosons with the gauge coupling g
Summary
The existence of magnetic monopoles (for reviews, see [1,2,3,4,5,6]) has been discussed for many years, monopoles have not yet been observed experimentally. We consider a novel monopole in a multivector boson theory, which is based on dimensional deconstruction [11, 12] and the Higgsless theories [13,14,15,16,17,18]. Our model of the multivector boson theory is shown, which is a generalization of the gauge-field part of the Higgsless theory. The final section (Section 7) is devoted to summary and discussion
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