Can the Nambu-Goldstone Boson Live on the Light-Front?

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11pages, Latex file

Scientific paper

10.1103/PhysRevLett.75.2632

We show that the Nambu-Goldstone(NG) boson restricted on the light-front(LF) can only exist if we regularize the theory by introducing the explicit breaking NG-boson mass $m_{\pi}$. The NG-boson zero mode, when integrated over the LF, must have a singular behavior $\sim 1/m^2_{\pi}$ in the symmetric limit of $m^2_{\pi}\rightarrow 0$. In the discretized LF quantization this peculiarity is clarified in terms of the zero-mode constraints in the linear $\sigma$ model. The LF charge annihilates the vacuum, while it is not conserved in the symmetric limit in the NG phase.

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