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arXiv 0906.1340hep-lathep-ph
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HP ^1西格玛模型晶格上的非定域场关联函数

Nonlocal field correlators on the lattice in HP^1 sigma-model

V. D. Orlovsky, V. I. Shevchenko

摘要:

在纯SU(2)Yang-Mills理论的四元数投影西格玛模型中,测量了格点上的连通两点场强关联函数.从这些关联函数的指数拟合中提取的关联长度分别为λ_(1 ^{-1})= 1.40(3)GeV和λ_(1 ^{-1})= 1.51(3)GeV,与其它已有的计算结果吻合得很好。研究了双局部函数对连接子形状的依赖性。

英文摘要:

Connected two-point field strength correlators have been measured on the lattice in quaternionic projective sigma-model of pure SU(2) Yang-Mills theory. The correlation lengths, extracted from the exponential fit for these correlators, are found to be lambda_1^{-1} = 1.40(3) GeV and lambda^{-1} = 1.51(3) GeV in good agreement with other existing calculations. The dependence of bilocal functions on the connector shape was studied.

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