Lattice determination of the Batalin-Vilkovisky function and the strong running interaction

IF 4.3 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Physics Letters B Pub Date : 2024-10-03 DOI:10.1016/j.physletb.2024.139054
A.C. Aguilar , N. Brito , M.N. Ferreira , J. Papavassiliou , O. Oliveira , P.J. Silva
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Abstract

The Batalin-Vilkovisky function is a central component in the modern formulation of the background field method and the physical applications derived from it. In the present work we report on novel lattice results for this particular quantity, obtained by capitalizing on its equality with the Kugo-Ojima function in the Landau gauge. The results of the lattice simulation are in very good agreement with the predictions derived from a continuum analysis based on the corresponding Schwinger-Dyson equations. In addition, we show that an important relation connecting this function with the ghost propagator is fulfilled rather accurately. With the aid of these results, we carry out the first completely lattice-based determination of the process-independent strong running interaction, employed in a variety of phenomenological studies.
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巴塔林-维尔科夫斯基函数和强运行相互作用的晶格测定
巴塔林-维尔科夫斯基函数是现代背景场法表述及其物理应用的核心组成部分。在本研究中,我们报告了这一特殊量的新颖晶格结果,这些结果是利用它与朗道规中的 Kugo-Ojima 函数相等而获得的。晶格模拟的结果与基于相应施文格-戴森方程的连续分析得出的预测结果非常吻合。此外,我们还证明了该函数与幽灵传播者之间的一个重要关系得到了相当精确的满足。借助这些结果,我们首次完全基于晶格确定了与过程无关的强运行相互作用,并将其应用于各种现象学研究。
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来源期刊
Physics Letters B
Physics Letters B 物理-物理:综合
CiteScore
9.10
自引率
6.80%
发文量
647
审稿时长
3 months
期刊介绍: Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.
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