Effective Mass Generation of Off-diagonal Gluons as the Origin of Infrared Abelian Dominance in the Maximally Abelian Gauge in QCD

Effective Mass Generation of Off-diagonal Gluons as the Origin of Infrared Abelian Dominance in the Maximally Abelian Gauge in QCD
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非对角线胶子的有效质量生成作为 QCD 最大阿贝尔规范中红外阿贝尔优势的起源

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发表时间:
1998
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通讯作者:
H. Suganuma
H. Suganuma
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作者:
K. Amemiya;H. Suganuma

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从胶子介导的相互作用范围出发,研究了长距离物理中最大阿贝尔规范中阿贝尔占优的起源。在MA规范中,对角胶子分量表现为像光子一样的中性规范场,而非对角胶子分量表现为剩余阿贝尔规范对称上的带电物质场。我们用SU(2)格点QCD研究了U(1)$_3$朗道规范固定的MA规范中的胶子传播子。我们发现,在红外区的MA规范的胶子传播子的阿贝尔优势。非对角荷电胶子在r \gsim 0.2$ fm区域表现为有效质量为M_{\rmch} \simeq 0.94$ GeV的大质量矢量玻色子。红外阿贝尔优势的物理起源被解释为MA规范固定引起的带电胶子质量M {\rmch}$的产生,带电胶子质量的产生预示了MA规范下QCD长距离物理的一般阿贝尔优势.
We study the origin of the abelian dominance in the maximally abelian (MA) gauge for the long-distance physics in terms of the interaction range mediated by gluons. In the MA gauge, diagonal gluon components behave as neutral gauge fields like photons, and off-diagonal gluon components behave as charged matter fields on the residual abelian gauge symmetry. We study the gluon propagator in the MA gauge with the U(1)$_3$ Landau gauge fixing using the SU(2) lattice QCD with $ 2.2 \le \beta \le 2.4$ and $12^3 \times 24$. We find the abelian dominance for the gluon propagator in the MA gauge in the infrared region. The off-diagonal charged gluon behaves as a massive vector boson with the effective mass $M_{\rm ch} \simeq 0.94$ GeV in the region of $r \gsim 0.2$ fm. The origin of the infrared abelian dominance is physically explained as the generation of the charged gluon mass $M_{\rm ch}$ induced by the MA gauge fixing, and the charged-gluon mass generation predicts general abelian dominances for the long-distance physics in QCD in the MA gauge.