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arXiv 0705.4407hep-phhep-latnucl-th
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夸克传播子中的强子非猝灭效应

Hadronic unquenching effects in the quark propagator

Christian S. Fischer, Dominik Nickel, Jochen Wambach

摘要:

我们研究了轻夸克和介子中的强子非猝灭效应。在Schwinger-Dyson方程和Bethe-Salpeter方程的非微扰连续统框架内,我们量化了π介子对夸克-胶子相互作用的反作用强度。为此,我们添加一个杨米尔斯的相互作用的一部分,使未淬灭的晶格结果为各种当前的夸克质量被复制。我们发现相当大的影响,在夸克质量函数在低动量以及手征凝聚。夸克波函数受影响较小。Gell-Mann-Oakes-Renner关系式在400-500 MeV的π介子质量范围内具有良好的精度。作为我们研究的一个副产品,我们验证了科尔曼定理,即当QCD降到1+1维时,手征对称性不能自发破缺。

英文摘要:

We investigate hadronic unquenching effects in light quarks and mesons. Within the non-perturbative continuum framework of Schwinger-Dyson and Bethe-Salpeter equations we quantify the strength of the back reaction of the pion onto the quark-gluon interaction. To this end we add a Yang-Mills part of the interaction such that unquenched lattice results for various current quark masses are reproduced. We find considerable effects in the quark mass function at low momenta as well as for the chiral condensate. The quark wave function is less affected. The Gell--Mann-Oakes-Renner relation is valid to good accuracy up to pion masses of 400-500 MeV. As a byproduct of our investigation we verify the Coleman theorem, that chiral symmetry cannot be broken spontaneously when QCD is reduced to 1+1 dimensions.

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