来自额外维度的稳定skyrmions
Stable skyrmions from extra dimensions
摘要:
我们表明,从紧凑的五维模型产生的skyrmions有稳定的大小。我们数值计算了Skyrmion组态,并计算了它们的大小和能量。虽然它们的大小很大程度上取决于定域动力学项的大小,但它们的能量与模型无关,范围在50-65倍F_pi ^2/m_rho之间,其中F_pi是戈德斯通衰变常数,m_rho是卡鲁扎-克莱因最小质量。这些skyrmion组态介于小的4D YM瞬子和由Goldstone和大质量矢量玻色子组成的4D skyrmion之间。与原始的4D skyrmion和以前的5D扩展相反,这些配置的尺寸大于截止尺度的倒数,因此它们在我们有效的5D方法中是可信的。这样的孤子粒子可以有有趣的现象学后果,因为它们携带类似于重子数的保守拓扑电荷。
英文摘要:
We show that skyrmions arising from compact five dimensional models have stable sizes. We numerically obtain the skyrmion configurations and calculate their size and energy. Although their size strongly depends on the magnitude of localized kinetic-terms, their energy is quite model-independent ranging between 50-65 times F_pi^2/m_rho, where F_pi is the Goldstone decay constant and m_rho the lowest Kaluza-Klein mass. These skyrmion configurations interpolate between small 4D YM instantons and 4D skyrmions made of Goldstones and a massive vector boson. Contrary to the original 4D skyrmion and previous 5D extensions, these configurations have sizes larger than the inverse of the cut-off scale and therefore they are trustable within our effective 5D approach. Such solitonic particles can have interesting phenomenological consequences as they carry a conserved topological charge analogous to baryon number.
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