Chiral perturbation theory for gradient flow observables

被引：53

作者：

Baer, Oliver ^{[1
]}

Golterman, Maarten ^{[2
]}

机构：

[1] Humboldt Univ, Dept Phys, D-12489 Berlin, Germany

[2] San Francisco State Univ, Dept Phys & Astron, San Francisco, CA 94132 USA

来源：

PHYSICAL REVIEW D | 2014年 / 89卷 / 03期

关键词：

D O I：

10.1103/PhysRevD.89.034505

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We construct the next-to-leading-order chiral Lagrangian for scalar and pseudoscalar densities defined using the gradient flow, for flow times much smaller than the square of the pion wavelength. We calculate the chiral condensate and the pion decay constant to this order from operators at positive flow time, and confirm results obtained earlier in the chiral limit. We also calculate the quark-mass dependence of the scales t(0) and w(0) defined from the scalar gluon density and find that nonanalytic terms in the quark mass only enter at next-to-next-to-leading order.

引用

页数：8

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