相对论性非拓扑孤子解的稳定催化剂
Stability Catalyzer for a Relativistic Non-Topological Soliton Solution
摘要：
对于一个具有特殊孤立波解（SSWS）的实非线性Klein-Gordon拉格朗日密度，在不改变其主要动力学方程和其他性质的情况下，证明了如何通过增加适当的附加无质量项来保证SSWS的能量稳定性.换句话说，它是一种稳定性催化剂。附加项包含参数$B$，其在较大值时为SSWS带来更大的稳定性。因此，如果我们认为$B$是一个非常大的值，那么任何其他不非常接近自由的远距离SSWS和平凡真空态的解都需要产生无限大的能量。换句话说，具有有限总能量的场的可能的非平凡稳定构型是任何数量的相距遥远的SSWS，类似于任何数量的全同粒子。
英文摘要：
For a real nonlinear Klein-Gordon Lagrangian density with a special solitary wave solution (SSWS), which is essentially unstable, it is shown how adding a proper additional massless term could guarantee the energetically stability of the SSWS, without changing its dominant dynamical equation and other properties. In other words, it is a stability catalyzer. The additional term contains a parameter $B$, which brings about more stability for the SSWS at larger values. Hence, if one considers $B$ to be an extremely large value, then any other solution which is not very close to the free far apart SSWSs and the trivial vacuum state, require an infinite amount of energy to be created. In other words, the possible non-trivial stable configurations of the fields with the finite total energies are any number of the far apart SSWSs, similar to any number of identical particles.
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