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arXiv 0704.1490hep-lat
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交错重子手征微扰理论

Staggered Heavy Baryon Chiral Perturbation Theory

Jon A. Bailey

摘要:

虽然味道违规显着影响的赝标和重轻介子量的交错计算的结果,那些进入重子量的交错计算尚未量化。在这里,我通过将Symanzik作用映射到重子手征微扰理论,发展了轻夸克重子扇区中的交错手征微扰理论。对于2+1动力学夸克味,用部分猝灭和全动力学交错手征微扰理论计算了味对称核子的质量。这个级数的展开包括了主要的手征介子,它来自于具有虚的十重态的环,以及来自于具有虚的八重态的环的立方π介子质量的级数。味道违规进入介子传播在循环和树级条款的平方晶格间距的顺序。味对称性破缺的模式和由此产生的简并和混合进行了详细讨论。所得的手征形式是适当的晶格结果与运营商已经在使用,并可用于研究恢复味道对称性的连续极限。我假设费米子行列式的四次方根可以用复制方法引入交错手征微扰理论。

英文摘要:

Although taste violations significantly affect the results of staggered calculations of pseudoscalar and heavy-light mesonic quantities, those entering staggered calculations of baryonic quantities have not been quantified. Here I develop staggered chiral perturbation theory in the light-quark baryon sector by mapping the Symanzik action into heavy baryon chiral perturbation theory. For 2+1 dynamical quark flavors, the masses of flavor-symmetric nucleons are calculated to third order in partially quenched and fully dynamical staggered chiral perturbation theory. To this order the expansion includes the leading chiral logarithms, which come from loops with virtual decuplet-like states, as well as terms the order of the cubed pion mass, which come from loops with virtual octet-like states. Taste violations enter through the meson propagators in loops and tree-level terms the order of the squared lattice spacing. The pattern of taste symmetry breaking and the resulting degeneracies and mixings are discussed in detail. The resulting chiral forms are appropriate to lattice results obtained with operators already in use and could be used to study the restoration of taste symmetry in the continuum limit. I assume that the fourth root of the fermion determinant can be incorporated in staggered chiral perturbation theory using the replica method.

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