协变有效场论中的三圈修正
Three-loop Corrections in a Covariant Effective Field Theory
摘要:
手征有效场论已成功地应用于原子核结构的研究。通过引入多体关联来系统地改进这些能量泛函(特别是量子强子动力学的能量泛函)是很有意义的。一个可能的改进来源是循环扩展。利用红外正则化技术,将环中各阶的短程局部动力学吸收到底层有效拉格朗日量的参数化中。其余的非局部交换相关性必须明确计算。考虑到量子强子动力学的相互作用相对较软,在核物质中,环膨胀可能是可控的,甚至是微扰的。本文研究了三圈贡献对量子强子动力学圈展开的作用。
英文摘要:
Chiral effective field theories have been used with success in the study of nuclear structure. It is of interest to systematically improve these energy functionals (particularly that of quantum hadrodynamics) through the inclusion of many-body correlations. One possible source of improvement is the loop expansion. Using the techniques of Infrared Regularization, the short-range, local dynamics at each order in the loops is absorbed into the parameterization of the underlying effective lagrangian. The remaining nonlocal, exchange correlations must be calculated explicitly. Given that the interactions of quantum hadrodynamics are relatively soft, the loop expansion may be manageable or even perturbative in nuclear matter. This work investigates the role played by the three-loop contributions to the loop expansion for quantum hadrodynamics.
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