Spontaneous symmetry breaking with Wilson renormalization group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, latex, no figures

Scientific paper

10.1016/0550-3213(96)00073-9

We study the conditions under which a symmetry is spontaneously broken in the
Wilson renormalization group formulation. Both for a global and local symmetry,
the result is that in perturbation theory one has to perform a fine tuning of
the boundary conditions for the flow of the relevant couplings. We consider in
detail the discrete $Z_2$ case and the Abelian Higgs model.

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