标题： Nambu-Goldstone玻色子能在光锥上存在吗？ 显示英文标题

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

摘要： 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. 显示英文摘要

摘要： 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.