论文标题

在新的广义仪表中获得Gluon繁殖器

Obtaining gluon propagator in a new generalized gauge

论文作者

Sungu, Jale Y., Turkan, Arzu, Veliev, Elsen Veli

论文摘要

规格理论在粒子物理,核物理学和宇宙学中起着基本作用。这些理论的基本思想是,在某些转换下,拉格朗日密度应该不变。拉格朗日不变性意味着定义量规场的某些自由。在这项研究中,使用标准路径积分量形式主义。仪表自由度在获得量规场传播器方面的困难表现出来。为了进行一致的量化,有必要消除非物理规范的自由度。标准过程是通过应用量规条件来打破规格对称性。在这项工作中,我们引入了一种新的通用量规条件$w_μa^{aμ} = 0 $,其中$w_μ=λ\partial_μ+βn_μ$,$n_μ$是任意常数的四矢量,$λ$,$β$是真正的常数参数。使用标准路径积分量形式主义,我们在此新仪表中获得了Gluon繁殖器表达式。在$λ= 1中,β\ rightArrow0 $,$β= 1,λ\ rightarrow0 $限制案例,所获得的表达式分别为我们提供了在协方差和非交流仪表中可用的gluon繁殖者表达式。这项研究可以使我们对Yang-Mills(YM)理论的量化有不同的看法,并可以向量子场理论(QFT)中的某些歧义展示道路。

Gauge theories play a fundamental role in particle physics, nuclear physics, and cosmology. The basic idea of these theories is that the Lagrangian density should be invariant under some transformations. Lagrangian invariance implies a certain freedom in defining gauge fields. In this study, the standard path integral quantization formalism is used. Gauge degrees of freedom manifest themselves in the difficulties in obtaining gauge field propagators. For a consistent quantization, it is necessary to eliminate non-physical gauge degrees of freedom. The standard procedure is to break the gauge symmetry by applying a gauge condition. In this work, we introduced a new generalized gauge condition $W_μ A^{aμ}=0$, where $W_μ=λ\partial_μ+βn_μ$, $n_μ$ is an arbitrary constant four-vector, $λ$, and $β$ are real constant parameters. Using standard path integral quantization formalism, we obtained gluon propagators expressions in this new gauge. In the $λ=1,β\rightarrow0$, and $β=1, λ\rightarrow0$ limit cases, the obtained expression provides us the gluon propagators expressions available in the literature in covariant and non-covariant gauges, respectively. This study can give us a different perspective on quantization in Yang-Mills (YM) theories and can show the way to some ambiguities in quantum field theories (QFT).

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