用有效场论计算I=2 π-π散射的各向同性和各向异性晶格间距修正
Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
摘要:
计算了各向同性和各向异性Wilson晶格作用量对I=2 π-π散射的有限晶格间距修正。π介子质量和衰变常数也确定在这方面。这些结果校正了从晶格计算的相移,这是连接到在这个低能量散射过程中的散射长度和有效范围。当在任一威尔逊作用的晶格物理参数方面,这些晶格间距效应首先出现在次领先阶反项处。
英文摘要:
The calculation of the finite lattice spacing corrections for I=2 pi-pi scattering is carried out for isotropic and anisotropic Wilson lattice actions. Pion masses and decay constants are also determined in this context. These results correct the phase shift calculated from the lattice, which is connected to the scattering length and effective range in this low energy scattering process. When in terms of the lattice-physical parameters for either Wilson action, these lattice spacing effects first appear at the next-to-leading order counter-terms.
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