Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

Richard Williams; Christian S

doi:10.1088/1674-1137/34/9/084

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1500-1503 DOI: 10.1088/1674-1137/34/9/084

Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

Richard Williams ^, ,
Christian S

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Abstract：
We investigate masses of light mesons from a coupled system of Dyson—Schwinger (DSE) and Bethe—Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed quark-gluon vertex. The axial-vector Ward-Takahashi identity preserving Bethe-Salpeter kernel is constructed and the spectrum of light mesons calculated. Our model goes significantly beyond the rainbow-ladder. We find that sub-leading Abelian corrections are further dynamically suppressed, and that our results supersede early qualitative predictions from simple truncation schemes.

References

[1]

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Richard Williams and Christian S. Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation[J]. Chinese Physics C, 2010, 34(9): 1500-1503. doi: 10.1088/1674-1137/34/9/084

Richard Williams and Christian S. Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation[J]. Chinese Physics C, 2010, 34(9): 1500-1503. doi: 10.1088/1674-1137/34/9/084 shu

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Received: 2010-02-09
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

Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

Corresponding author: Richard Williams,

Received Date: 2010-02-09

Accepted Date: 1900-01-01

Available Online: 2010-09-05

Abstract: We investigate masses of light mesons from a coupled system of Dyson—Schwinger (DSE) and Bethe—Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed quark-gluon vertex. The axial-vector Ward-Takahashi identity preserving Bethe-Salpeter kernel is constructed and the spectrum of light mesons calculated. Our model goes significantly beyond the rainbow-ladder. We find that sub-leading Abelian corrections are further dynamically suppressed, and that our results supersede early qualitative predictions from simple truncation schemes.

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Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

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