Vacuum energy of a color magnetic vortex

被引:25
作者
Bordag, M [1 ]
机构
[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
来源
PHYSICAL REVIEW D | 2003年 / 67卷 / 06期
关键词
D O I
10.1103/PhysRevD.67.065001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the one loop gluon vacuum energy in the background of a color magnetic vortex for SU(2) and SU(3). We use zeta functional regularization to obtain analytic expressions suitable for numerical treatment. The momentum integration is turned to the imaginary axis and fast converging sums or integrals are obtained. We investigate numerically a number of profiles of the background. All of these vortex profiles allow for a lowering of the total vortex energy below the energy of the perturbative vacuum. In this problem bound states (tachyonic modes) are present for all profiles investigated, making them intrinsically unstable.
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页数:14
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