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Confining potential under the gauge field condensation in the SU(2) Yang–Mills theory
Progress of Theoretical and Experimental Physics Pub Date : 2021-01-22 , DOI: 10.1093/ptep/ptab009
Hirohumi Sawayanagi 1
Affiliation  

$Q\bar{Q}$ 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 $\langle A_{\mu}^+A_{\mu}^-\rangle$ in a 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 that 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.

中文翻译:

SU(2) Yang-Mills 理论中规范场凝聚下的围限势

$Q\bar{Q}$ 势是在 SU(2) 规范理论中研究的。基于 Curci-Ferrari 类型的非线性规范,已经考虑了在低能区发生胶子凝聚 $\langle A_{\mu}^+A_{\mu}^-\rangle$ 的可能性-循环级别。这种凝聚不是磁单极凝聚,而是使经典胶子变得有质量,并且可以产生线性势能。我们证明了这个势由库仑加线性部分和一个附加部分组成。与康奈尔势比较,我们详细研究了这个限制势,发现势有两个隐​​含的尺度:$r_c$和$\tilde{R}_0$。这些量表的含义得到澄清。我们还表明,通过考虑这些尺度,可以获得非常适合这种限制潜力的康奈尔潜力。
更新日期:2021-01-22
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