无π有效场论中紧约束下的“运行”
'Running' under tight constraints in pionless effective field theory
摘要：
在有效场论的指导下，利用核力的无介子有效场论的封闭形式的在壳$T$矩阵，研究和证明了紧约束下的重整化群不变性和方程的内容.在$^1S_0$和非耦合$P$通道中呈现了在这种严格约束下的“运行”耦合，直到截断阶数$\mathcal{O}(Q^4)$。一些线性关系暴露，反过来又在追求非微扰“运行”的解决方案，作为一种替代选择，而不诉诸特殊的处方和额外的操作或治疗。这种“运行”的行为固有的无π介子有效场论的封闭形式的$T$矩阵的效用被注释和一些重要的问题相关的有效场论构造与各种截断解释或讨论从基本理论的角度。
英文摘要：
The contents of renormalization group invariance and equations under tight constraints are explored and demonstrated with closed-form on-shell $T$ matrices of pionless effective field theory for nuclear forces right within the effective field theory philosophy. The 'running' couplings under such tight constraints are presented in $^1S_0$ and uncoupled $P$ channels up to truncation order $\mathcal{O}(Q^4)$. Some linear relations are exposed and in turn employed in the pursuit of nonperturbative 'running' solutions which serves as an alternative choice without resorting to special prescription and additional operations or treatments. The utility of such 'running' behaviors inherent in the closed-form $T$-matrices of pionless effective field theory is remarked and a number of important issues related to effective field theory constructed with various truncations are interpreted or discussed from the underlying theory perspective.
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