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arXiv 2102.10656hep-thhep-ph
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有效场论中的背景场方法和广义场重定义

Background Field Method and Generalized Field Redefinitions in Effective Field Theories

Andrea Quadri

摘要:

我们表明,在一个自发破缺的有效规范场理论,量子化的一般背景$R_ξ$规范,也经历了非线性(虽然背景规范不变)辐射校正引起的字段重新定义的背景字段。这种重新定义被证明是至关重要的,以规范独立的方式重新规范化的规范不变的运营商的耦合常数。经典背景量子分裂一般也会因辐射修正而发生非线性变形(以非规范不变的方式)。值得注意的是,这种变形在朗道规范中消失了,在环展开中的所有阶次都消失了。

英文摘要:

We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_ξ$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by radiative corrections. This redefinition proves to be crucial in order to renormalize the coupling constants of gauge-invariant operators in a gauge-independent way. The classical background-quantum splitting is also in general non-linearly deformed (in a non gauge-invariant way) by radiative corrections. Remarkably, such deformations vanish in the Landau gauge, to all orders in the loop expansion.

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