Achúcarro A, Urrestilla J
Department of Theoretical Physics, UPV-EHU, Bilbao, Spain.
Phys Rev Lett. 2000 Oct 9;85(15):3091-4. doi: 10.1103/PhysRevLett.85.3091.
We analyze the stability of global O(3) monopoles in the infinite cutoff (or scalar mass) limit. We obtain the perturbation equations and prove that the spherically symmetric solution is classically stable (or neutrally stable) to axially symmetric, square integrable, or power-law decay perturbations. Moreover, we show that, in spite of the existence of a conserved topological charge, the energy barrier between the monopole and the vacuum is finite even in the limit where the cutoff is taken to infinity. This feature is specific of global monopoles and independent of the details of the scalar potential.
我们分析了在无限截断（或标量质量）极限下全局(O(3))单极子的稳定性。我们得到了微扰方程，并证明了球对称解对于轴对称、平方可积或幂律衰减微扰在经典意义上是稳定的（或中性稳定的）。此外，我们表明，尽管存在守恒的拓扑电荷，但即使在截断趋于无穷的极限情况下，单极子与真空之间的能垒也是有限的。这一特性是全局单极子所特有的，且与标量势的细节无关。
