论文标题
背景有效的动作通过非线性巨规固定
Background Effective Action with Nonlinear Massive Gauge Fixing
论文作者
论文摘要
我们将最近的BRST不变，非线性大量规格修复的结构与背景形式主义结合在一起。产生的生成功能可确保背景场不变性以及量子场的BRST不变性。该结构具有量子规和幽灵场的BRST不变质量参数。形式主义采用背景中的nakanishi-lautrup领域，这是非线性量规部门的一部分，因此不应影响可观察到的物品。我们通过计算一环有效动作和量规耦合的相应β函数来验证这一期望。相应的Schwinger函数生成连接的相关函数获得了在壳上消失的其他一颗粒子可还原术语。我们还研究了脱壳的一环贡献，以探索涉及背景中纳卡尼尼 - 拉特鲁普领域的非线性量规固定方案的后果。作为应用程序，我们表明我们的形式主义直接以所谓的十字解决方案的形式适应了兰道仪表中传播器的非扰动信息。使用这种非扰动输入，我们找到了形成Gluon冷凝物以进行足够大的耦合的证据，其比例由BRST不变的Gluon质量参数设置。
We combine a recent construction of a BRST-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well as BRST invariance of the quantum field manifestly. The construction features BRST-invariant mass parameters for the quantum gauge and ghost fields. The formalism employs a background Nakanishi-Lautrup field which is part of the nonlinear gauge-fixing sector and thus should not affect observables. We verify this expectation by computing the one-loop effective action and the corresponding beta function of the gauge coupling as an example. The corresponding Schwinger functional generating connected correlation functions acquires additional one-particle reducible terms that vanish on shell. We also study off-shell one-loop contributions in order to explore the consequences of a nonlinear gauge fixing scheme involving a background Nakanishi-Lautrup field. As an application, we show that our formalism straightforwardly accommodates nonperturbative information about propagators in the Landau gauge in the form of the so-called decoupling solution. Using this nonperturbative input, we find evidence for the formation of a gluon condensate for sufficiently large coupling, whose scale is set by the BRST-invariant gluon mass parameter.
