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arXiv 0705.0005hep-thhep-lathep-ph
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任意空间相关静态色势下QCD中的路径积分

Path Integration in QCD with Arbitrary Space-Dependent Static Color Potential

Gouranga C. Nayak

摘要:

我们对夸克(反夸克)在任意色指数a= 1,2,.的任意空间相关静态色势A^a_0(x)(=- \int dx E^a(x))中进行了路径积分.在SU(3)中,得到了生成泛函的精确的非微扰表达式。我们表明,这样的路径积分是可能的,即使一个不能解决狄拉克方程中存在的任意空间相关的潜力。这可能是进一步探索这种路径积分技术来研究非微扰束缚态的形成。

英文摘要:

We perform path integral for a quark (antiquark) in the presence of an arbitrary space-dependent static color potential A^a_0(x)(=-\int dx E^a(x)) with arbitrary color index a=1,2,...8 in SU(3) and obtain an exact non-perturbative expression for the generating functional. We show that such a path integration is possible even if one can not solve the Dirac equation in the presence of arbitrary space-dependent potential. It may be possible to further explore this path integral technique to study non-perturbative bound state formation.

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