自发对称性破缺作为BRST不变形式中Gribov标度的机制
Spontaneous symmetry breaking as a mechanism for the Gribov scale in a BRST-invariant formulation
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中文总结 AI 辅助
本文提出一种BRST不变的Gribov-Zwanziger模型，通过自发对称性破缺产生Gribov标度，保持鬼场方程并实现可重整化，且不改变上同调结构，为规范不变可观测量构造保留路径。
中文摘要 AI 辅助
我们提出了在朗道规范下Gribov-Zwanziger模型的一种BRST不变形式，其中Gribov标度是通过标量四重态对称性的自发破缺产生的，而非通过传统构造中的显式破缺项。我们证明了所得作用量保持了朗道规范的鬼场方程，并重现了原始Gribov情景中典型的Gribov型规范传播子，一种精炼型的BRST不变质量项也由同一机制容纳。我们通过代数重整化技术确立了模型的全阶可重整性，除了经典作用量中已有的抵消项外，无需额外的抵消项。我们进一步表明，四重态的凝聚不改变用以刻画可观测量的上同调，在位移真空中实现的算符与对称相中的算符具有相同的上同调，因此质量标度的产生不损害理论的物理内容，在Gribov-Zwanziger框架中构造真正的规范不变可观测量由此仍可沿用通常的上同调方法。
英文摘要
We propose a BRST-invariant formulation of the Gribov--Zwanziger model in the Landau gauge, in which the Gribov scale is produced by the spontaneous breaking of a scalar quartet symmetry, rather than through the explicit breaking term of the conventional construction. We show that the resulting action preserves the ghost equation of the Landau gauge and reproduces the characteristic Gribov-type gauge propagator of the original Gribov scenario, a BRST-invariant mass term of the refined type being accommodated by the same mechanism. We establish the renormalizability of the model to all orders by means of algebraic renormalization techniques, no counterterm being required outside those already present in the classical action. We further show that the condensation of the quartet leaves unchanged the cohomology through which the observables are characterized, the operator realized in the displaced vacuum having the same cohomology as that of the symmetric phase, so that the mass scale is produced at no cost in the physical content of the theory, and the construction of genuine gauge-invariant observables in the Gribov--Zwanziger setting is thereby left open to the usual cohomological methods.
发表机构
- Universidade do Estado do Rio de Janeiro（里约热内卢州立大学）
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