AI 中文总结
本文提出戈德斯通玻色子反重求和方法，通过将其裸质量视为两点相互作用顶点避免红外问题，给出标准模型三圈阶结果，适用于无 tadpole 方案的多圈计算。
AI 中文摘要
本文从裸微扰论出发，接着进行overline{MS}重整化，讨论有效势及相关量的计算。该方法的优势在于提供了一种避免戈德斯通玻色子相关红外问题的简单新方式：将戈德斯通玻色子的裸质量视为两点相互作用顶点，而非纳入传播子中。因此，计算的每个阶段仅出现戈德斯通玻色子质量的正整数次幂，完全避免了此前重求和方法中间步骤中遇到的虚部和奇点。这种戈德斯通玻色子反重求和方法通过主真空积分给出的规则实现，适用至三圈阶。文中给出了标准模型三圈阶的明确结果。该方法得到的有效势极小化条件与此前重求和方法一致，但形式更直接适用于无 tadpole 方案中可观测量的未来多圈计算。
英文摘要
I discuss the evaluation of the effective potential and related quantities starting from bare perturbation theory followed by $\overline{\rm{MS}}$ renormalization. The advantages of this method include a simple new way of avoiding infrared problems associated with Goldstone bosons, by treating their bare masses as two-point interaction vertices instead of incorporating them into the propagators. Thus, only positive integer powers of the Goldstone-boson masses appear at every stage of calculation, completely avoiding the imaginary parts and singularities encountered in intermediate steps of previous resummation methods. This Goldstone boson anti-resummation approach is implemented using simple rules provided through three-loop order in terms of the master vacuum integrals. Explicit results are given for the Standard Model at three-loop order. The method is shown to give effective potential minimization conditions that are consistent with previous resummation methods, but in a form more directly useful for related future multi-loop calculations of observables in the tadpole-free scheme.
Comments37 pages
