Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-09-30
Int.J.Mod.Phys.A22:1161-1180,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
minor typographical changes, 12 pages, 4 figures
Scientific paper
10.1142/S0217751X07034362
A mechanism is discussed to obtain light scalar fields from a spontaneously broken continuous symmetry without explicitly breaking it. If there is a continuous manifold of classical vacua in orbit space, its tangent directions describe classically massless fields that may acquire mass from perturbations of the potential that do not break the symmetry. We consider the simplest possible example, involving a scalar field in the adjoint representation of SU(N). We study the scalar mass spectrum and its RG running at one-loop level including scalar and pseudoscalar Yukawa couplings to a massive Dirac fermion.
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