论文标题
外部电势中的非局部标量场：WKB近似
Nonlocal scalar field in an external potential: WKB approximation
论文作者
论文摘要
我们考虑了在平坦的时空背景下在存在外部电位和该理论的构造WKB解决方案的情况下，在平坦的时空背景下进行标量大型领域的非本地理论。我们使用一个模型，其中通过将$ \ box $更改为$ \ box f（\ box）$运算符来修改标量现场操作的动力学部分。当选择相应的形式$ f $以使该理论不包含新的非物理自由度时，我们会讨论条件。我们应用了获得的WKB溶液，以研究一维电位和屏障穿透的可能性所困扰的田间的研究水平。这使我们能够说明非局部性的影响如何改变对局部场理论获得的已知结果。
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.
