论文标题
大型俄罗斯的有效野外理论
An Effective Field Theory for Large Oscillons
论文作者
论文摘要
我们考虑oscillons-在具有真实标量字段的模型中,局部,准膜状和极其悠久的经典解决方案。我们在有限场强度的大尺寸限制中开发了它们的有效描述。即,我们注意到,可以通过有效的复杂字段$ψ(t,\ boldsymbol {x})$来描述非线性的长距离字段配置,该$ {x})$通过规范转换与原始字段相关。 $ψ$的动作具有系统的梯度扩展形式。在扩展的每个顺序上,这种有效的理论都具有全球u(1)对称性,因此是一个固定的非自动孤子孤子家族-Oscillons -Oscillons。从有效理论的角度来看,后一个对象的衰减是一个非扰动过程。我们的方法使人们对oscillon的直觉具有直觉的理解,并解释了它们的寿命。重要的是,它还为具有长寿命轨道的模型提供了可靠的选择标准。在非层次论的极限中,在非线性,非常长的寿命和大物体的情况下以及在较低的空间维度下,该技术更为精确。我们通过对具有平稳电位的$(d+1)$尺寸标量场进行明确的数值模拟来测试有效理论。
We consider oscillons - localized, quasiperiodic, and extremely long-living classical solutions in models with real scalar fields. We develop their effective description in the limit of large size at finite field strength. Namely, we note that nonlinear long-range field configurations can be described by an effective complex field $ψ(t, \boldsymbol{x})$ which is related to the original fields by a canonical transformation. The action for $ψ$ has the form of a systematic gradient expansion. At every order of the expansion, such an effective theory has a global U(1) symmetry and hence a family of stationary nontopological solitons - oscillons. The decay of the latter objects is a nonperturbative process from the viewpoint of the effective theory. Our approach gives an intuitive understanding of oscillons in full nonlinearity and explains their longevity. Importantly, it also provides reliable selection criteria for models with long-lived oscillons. This technique is more precise in the nonrelativistic limit, in the notable cases of nonlinear, extremely long-lived, and large objects, and also in lower spatial dimensions. We test the effective theory by performing explicit numerical simulations of a $(d+1)$-dimensional scalar field with a plateau potential.