We investigate the generation of a gluon screening mass in Yang-Mills theory in the Landau gauge. We propose a gauge-fixing procedure where the Gribov ambiguity is overcome by summing over all Gribov copies with some weight function. This can be formulated in terms of a local field theory involving constrained, nonlinear sigma model fields. We show that a phenomenon of radiative symmetry restoration occurs in this theory, similar to what happens in the standard nonlinear sigma model in two dimensions. This results in a nonzero gluon screening mass, as seen in lattice simulations.

中文翻译：

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朗道规中的对称性恢复和胶子质量

我们在Landau规中研究了Yang-Mills理论中的胶子筛选物质的产生。我们提出了一种量表固定程序，其中通过对具有权重函数的所有Gribov副本进行求和来克服Gribov的歧义。这可以根据涉及受约束的非线性sigma模型场的局部场理论来表述。我们表明，在该理论中出现了辐射对称性恢复现象，类似于二维的标准非线性sigma模型中发生的现象。如晶格模拟所示，这将导致胶子筛分质量不为零。