Bubble contributions to scalar correlators with mixed actions

FU Zi-Wen

doi:10.1088/1674-1137/38/6/063102

Chinese Physics C> 2014, Vol. 38> Issue(6) : 063102 DOI: 10.1088/1674-1137/38/6/063102

Bubble contributions to scalar correlators with mixed actions

FU Zi-Wen ^,

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Abstract：
Within mixed-action chiral perturbation theory (MAχPT), Sasa's derivation of the bubble contribution to scalar a₀ meson is extended to those of scalar k and σ mesons. We revealed that the k bubble has two double poles and the σ bubble contains a quadratic-in-t² growth factor stemming from the multiplication of two double poles for a general mass tuning of valence quarks and sea quarks. The corresponding preliminary analytical expressions in MAχPT with 2+1 chiral valence quarks and 2+1 staggered sea quarks will be helpful for lattice studies of scalar mesons.

References

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FU Zi-Wen. Bubble contributions to scalar correlators with mixed actions[J]. Chinese Physics C, 2014, 38(6): 063102. doi: 10.1088/1674-1137/38/6/063102

FU Zi-Wen. Bubble contributions to scalar correlators with mixed actions[J]. Chinese Physics C, 2014, 38(6): 063102. doi: 10.1088/1674-1137/38/6/063102 shu

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Received: 2013-07-22
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Bubble contributions to scalar correlators with mixed actions

Corresponding author: FU Zi-Wen,

Received Date: 2013-07-22

Accepted Date: 1900-01-01

Available Online: 2014-06-05

Abstract: Within mixed-action chiral perturbation theory (MAχPT), Sasa's derivation of the bubble contribution to scalar a₀ meson is extended to those of scalar k and σ mesons. We revealed that the k bubble has two double poles and the σ bubble contains a quadratic-in-t² growth factor stemming from the multiplication of two double poles for a general mass tuning of valence quarks and sea quarks. The corresponding preliminary analytical expressions in MAχPT with 2+1 chiral valence quarks and 2+1 staggered sea quarks will be helpful for lattice studies of scalar mesons.

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Bubble contributions to scalar correlators with mixed actions

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