Infrared divergence on the light-front and dynamical Higgs mechanism

Details Infrared divergence on the light-front and dynamical Higgs mechanism Infrared divergence on the light-front and dynamical Higgs mechanism

1998-08-03

arxiv.org/abs/hep-th/9808007v1

Phys.Lett. B437 (1998) 390-397

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00926-5

Dynamical Higgs mechanism on the light-front (LF) is studied using a (1+1) dimensional model, with emphasis on the infrared divergence problem. The consideration of the zero mode $ k^+ = 0 $ is not sufficient for investigating dynamical symmetry breaking on the LF. It also needs to treat properly an infrared divergence caused by internal momentum $ p^+ \to 0 ~ (p^+ \neq 0) $ in the continuum limit. In order to avoid the divergence, we introduce an infrared cutoff function $ F_{\rm IR} (p, \Lambda) $ which is not Lorentz invariant. It is then shown that the gauge boson obtains mass dynamically on the LF.

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