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arXiv 0811.0407hep-ph
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截断库仑规范II中的手征对称性破缺。非约束幂律势

Chiral symmetry breaking in the truncated Coulomb Gauge II. Non-confining power law potentials

P. Bicudo

摘要:

本文研究了无限制类幂势手征对称性破缺。允许的指数的区域被确定,并且在限制(正指数)电位的先前研究之后,我们现在专注于较短范围的非限制电位,具有负指数。这些非约束势接近库仑势,它们也是相关的线性约束的校正,并作为模型的夸克势在解除禁闭过渡。构造并求解了质量-间隙方程,在库仑势附近用指数展开法解析计算了夸克质量、手征角和夸克能量.结果表明,存在手征对称性破缺,但只存在手征不变的假真空和第二个非平凡真空。此外,手征对称性破缺是由势的紫外部分引起的,夸克质量没有红外增强。因此,由非限制势驱动的手征对称性破缺不同于由限制势驱动的破缺。

英文摘要:

In this paper we study the breaking of chiral symmetry with non-confining power-like potentials. The region of allowed exponents is identified and, after the previous study of confining (positive exponent) potentials, we now specialize in shorter range non-confining potentials, with a negative exponent. These non-confining potentials are close to the Coulomb potential, and they are also relevant as corrections to the linear confinement, and as models for the quark potential at the deconfinement transition. The mass-gap equation is constructed and solved, and the quarks mass, the chiral angle and the quark energy are calculated analytically with a exponent expansion in the neighbourhood of the Coulomb potential. It is demonstrated that chiral symmetry breaking occurs, but only the chiral invariant false vacuum and a second non-trivial vacuum exist. Moreover chiral symmetry breaking is led by the UV part of the potential, with no IR enhancement of the quark mass. Thus the breaking of chiral symmetry driven by non-confining potentials differs from the one lead by confining potentials.

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