外势中的非定域标量场：WKB近似
Nonlocal scalar field in an external potential: WKB approximation
摘要：
我们考虑一个非定域理论的标量质量场在一个平坦的时空背景中的存在一个外部的潜力和构造WKB解决方案，这个理论。我们使用一个模型，其中的动力学部分的标量场的行动是修改通过改变$\Box$ $\Box f(\Box)$运营商。我们讨论的条件时，相应的形状因子$f$选择，使理论不包含新的非物理自由度。我们应用所得到的WKB解研究了一维势阱中场的能级和势垒穿透的几率。这使我们能够说明非定域性的影响如何改变局部场论的已知结果。
英文摘要：
We consider a nonlocal theory of a scalar massive field in a flat spacetime background in the presence of an external potential and construct WKB solutions for this theory. We use a model in which the kinetic part of the scalar field action is modified by changing $\Box$ to $\Box f(\Box)$ operator. We discuss conditions when the corresponding form factor $f$ is chosen so that the theory does not contain new unphysical degrees of freedom. We applied the obtained WKB solutions for study energy levels of the field trapped by a one-dimensional potential and the probability of the barrier penetration. This allows us to illustrate how the effects of the nonlocality change the known results obtained for the local field theory.
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