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arXiv 0704.0940hep-thcond-mat.str-elmath-phmath.MP
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(2+1)维各向异性弱耦合Yang-Mills理论中的引力球质量

Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

Peter Orland

摘要:

在各向异性的(2+1)维SU(N)Yang-Mills理论中,在弱耦合下解决了禁闭问题。在本文中,我们找到了N=2时的最低谱。最轻的激发是束缚在线性势场中的(1+1)维SU(2)XSU(2)主手征西格玛模型的基本粒子对,粒子之间有特定的重叠匹配条件。该匹配条件可以从西格玛模型的精确已知的S矩阵确定。

英文摘要:

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the (1+1)-dimensional SU(2)XSU(2) principal chiral sigma model bound in a linear potential, with a specified matching condition where the particles overlap. This matching condition can be determined from the exactly-known S-matrix for the sigma model.

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