浅P波态的有效场论
Effective field theory for shallow P-wave states
摘要:
我们讨论了在浅态存在下两体P波散射的非相对论性有效场论的公式,并对文献中提出的各种重整化方法进行了批判性的讨论。它表明,一致的重整化只涉及有限数量的参数在完善的形式主义与辅助二聚体字段对应于包含无限数量的反项的制定与接触相互作用。我们还讨论了P波散射的Wilson重整化群分析的意义。
英文摘要:
We discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to the inclusion of an infinite number of counterterms in the formulation with contact interactions only. We also discuss the implications from the Wilsonian renormalization group analysis of P-wave scattering.
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