Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory
Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory
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DOI：
10.1103/physrevd.96.114511
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发表时间：
2017-09
影响因子：
5
通讯作者：
T. Yamazaki;Y. Kuramashi
中科院分区：
文献类型：
--
作者：
T. Yamazaki;Y. Kuramashi
讨论了量子场论中相互作用范围内两粒子散射振幅与Bethe-Salpeter（BS）波函数之间的精确关系。在这种关系中，由BS波函数定义的约化BS波函数起着至关重要的作用。通过这种关系，可以计算出在壳和半离壳的振幅。我们还表明，解决方案的薛定谔方程的有效势确定的BS波函数给出了一个正确的壳上散射振幅只有在动量的有效势是确定的。此外，我们讨论了约化BS波函数的一种导数展开式，以及在含时HALQCD方法中获得与插值算子无关的结果的一个条件。
We discuss an exact relation between the two-particle scattering amplitude and the Bethe-Salpeter (BS) wave function inside the interaction range in quantum field theory. In the relation the reduced BS wave function defined by the BS wave function plays an essential role. Through the relation the on-shell and half off-shell amplitudes can be calculated. We also show that the solution of Schrodinger equation with the effective potential determined from the BS wave function gives a correct on-shell scattering amplitude only at the momentum where the effective potential is determined. Furthermore we discuss a derivative expansion of the reduced BS wave function and a condition to obtain results independent of the interpolating operators in the time-dependent HALQCD method.