arXiv subjects
Publications and source records attributed to Sho Tsujimaru.
Spontaneous breakdown of the continuous symmetry is studied in the framework of discretized light-front quantization. We consider linear sigma model in 3+1 dimensions and show that the careful treatment of zero modes together with the regularization of the theory by introducing NG boson mass leads to the correct description of Nambu-Goldstone phase on the light-front.
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.