Infrared divergence on the light-front and dynamical Higgs mechanism

Abstract

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 $p^{+}\to 0(p^{+}\ne 0)$ in the continuum limit. In order to avoid the divergence, we introduce an infrared cutoff function $F_{\mathrm{IR}}(p,\Lambda )$ which is not Lorentz invariant. It is then shown that the gauge boson obtains mass dynamically on the LF.

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

References in corpus (2)

• Spontaneous Symmetry Breaking in Discretized Light-Cone Quantization
• Gap Equations from Fermionic Constraints on the Light-Front