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

Yoonbai Kim·Sho Tsujimaru·Koichi Yamawaki
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Abstract

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 $m_π$. The NG-boson zero mode, when integrated over the LF, must have a singular behavior $\sim 1/m^2_π$ in the symmetric limit of $m^2_π\rightarrow 0$. In the discretized LF quantization this peculiarity is clarified in terms of the zero-mode constraints in the linear $σ$ model. The LF charge annihilates the vacuum, while it is not conserved in the symmetric limit in the NG phase.

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Yoonbai Kim, Sho Tsujimaru, Koichi Yamawaki. 1995-02-02. Can the Nambu-Goldstone Boson Live on the Light-Front?. https://doi.org/10.1103/physrevlett.75.2632

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