Computation of the electromagnetic pion form factor from lattice QCD in the ε regime

被引：13

作者：

Fukaya, H. ^{[1
]}

Aoki, S. ^{[2
,3
]}

Hashimoto, S. ^{[4
,5
]}

Kaneko, T. ^{[4
,5
]}

Matsufuru, H. ^{[4
,5
]}

Noaki, J. ^{[4
]}

机构：

[1] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[3] Univ Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan

[4] High Energy Accelerator Org KEK, KEK Theory Ctr, Tsukuba, Ibaraki 3050801, Japan

[5] Grad Univ Adv Studies Sokendai, Sch High Energy Accelerator Sci, Tsukuba, Ibaraki 3050801, Japan

来源：

PHYSICAL REVIEW D | 2014年 / 90卷 / 03期

关键词：

EXACTLY MASSLESS QUARKS; DIRAC OPERATOR; SPECTRAL DENSITY; CHIRAL-SYMMETRY;

D O I：

10.1103/PhysRevD.90.034506

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We calculate the electromagnetic pion form factor in lattice QCD with 2 + 1 flavors of the dynamical overlap quarks. Up and down quark masses are set below their physical values so that the system is in the so-called. regime with the small size of our lattice similar to 1.8 fm. The finite volume corrections are generally expected to be similar to 100% in the. regime. We, however, find a way to automatically cancel the dominant part of them. Inserting nonzero momenta and taking appropriate ratios of the two- and three-point functions, we can eliminate the contribution from the zero-momentum pion mode. Then the remaining finite volume effect is a small perturbation from the nonzero modes. Our lattice data agree with this theoretical prediction and the extracted pion charge radius is consistent with the experiment.

引用

页数：8

共 43 条

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