论文标题

在SU(2)Yang-Mills理论中限制仪表场凝结下的潜力

Confining potential under the gauge field condensation in the SU(2) Yang-Mills theory

论文作者

Sawayanagi, Hirohumi

论文摘要

$ q \ bar {q} $潜力在SU(2)量规理论中研究。基于Curci-Ferrari类型的非线性量表,在一环级别上考虑了Gluon冷凝$ \ langlea_μ^+a_μ^ - \ rangle $的可能性。这种凝结而不是磁性单极凝结,而是使经典的纤维大大质量,并且可以产生线性电势。我们显示了该潜力由库仑加线性零件和附加零件组成。与康奈尔的潜力相比,我们详细研究了这种限制潜力,并发现潜力具有两个隐性量表$ r_c $和$ \ tilde {r} _0 $。这些量表的含义被阐明。我们还表明,通过考虑这些量表,可以获得适合这种限制电位的康奈尔电位。

$Q\bar{Q}$ potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation $\langle A_μ^+A_μ^-\rangle$ in low-energy region has been considered at the one-loop level. Instead of the magnetic monopole condensation, this condensation makes classical gluons massive, and can yield a linear potential. We show this potential consists of the Coulomb plus linear part and an additional part. Comparing with the Cornell potential, we study this confining potential in detail, and find that the potential has two implicit scales $r_c$ and $\tilde{R}_0$. The meanings of these scales are clarified. We also show that the Cornell potential that fits well to this confining potential is obtained by taking these scales into account.

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