Higgs mechanism in a light front formulation

Details Higgs mechanism in a light front formulation Higgs mechanism in a light front formulation

2006-10-04

arxiv.org/abs/hep-th/0610048v1

Mod.Phys.Lett.A23:417-425,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1142/S0217732308026510

We give a simple derivation of the Higgs mechanism in an abelian light front field theory. It is based on a finite volume quantization with antiperiodic scalar fields and a periodic gauge field. An infinite set of degenerate vacua in the form of coherent states of the scalar field that minimize the light front energy, is constructed. The corresponding effective Hamiltonian descibes a massive vector field whose third component is generated by the would-be Goldstone boson. This mechanism, understood here quantum mechanically in the form analogous to the space-like quantization, is derived without gauge fixing as well as in the unitary and the light cone gauge.

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