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

  • 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.
  • 加载中
  • [1] . Maris P, Roberts C D, Tandy P C. Phys. Lett. B, 1998,420: 267 [arXiv:nucl-th/9707003]2. Maris P, Roberts C D. Phys. Rev. C, 1997, 56: 3369 [arXiv:nucl-th/9708029]3. Maris P,Tandy P C. Phys. Rev. C, 1999, 60: 055214 [arXiv:nucl-th/9905056]4. Maris P,Tandy P C. Phys. Rev. C, 2000, 62: 055204 [arXiv:nucl-th/0005015]5. Bhagwat M S, Maris P. Phys. Rev. C,2008, 77: 025203[arXiv:nucl-th/0612069]6. Nicmorus D, Eichmann G, Krassnigg A, Alkofer R. Phys.Rev. D, 2009, 80: 054028 [arXiv:0812.1665 [hep-ph]]7. Eichmann G, Alkofer R, Krassnigg A, Nicmorus D. Phys.Rev. Lett., 2010, 104: 201601 [arXiv:0912.2246 [hep-ph]]8. Alkofer R, Eichmann G, Krassnigg A, Nicmorus D. arXiv:0912.3105 [hep-ph]9. Munczek H J. Phys. Rev. D, 1995, 52: 4736 [arXiv:hepth/9411239]10. Bender A, Roberts C D, Smekal L Von. Phys. Lett. B,1996,380: 7 [arXiv:nucl-th/9602012]11. Bender A, Detmold W, Roberts C D, Thomas A W. Phys.Rev. C,2002, 65: 065203 [arXiv:nucl-th/0202082]12. Bhagwat M S, Holl A, Krassnigg A, Roberts C D,Tandy PC. Phys. Rev. C,2004, 70: 035205 [arXiv:nucl-th/0403012]13. Watson P, Cassing W, Tandy P C. Few Body Syst., 2004,35: 129 [arXiv:hep-ph/0406340]14. Matevosyan H H, Thomas A W ,Tandy P C. Phys. Rev.C,2007, 75: 045201 [arXiv:nucl-th/0605057]15. Alkofer R, Fischer C S, Llanes-Estrada F J, Schwenzer K.Annals Phys., 2009, 324: 106 [arXiv:0804.3042 [hep-ph]]16. Fischer C S, Williams R. Phys. Rev. Lett. 2009, 103:122001. [arXiv:0905.2291 [hep-ph]]17. Fischer C S, Williams R. Phys. Rev. D,2008, 78: 074006[arXiv:0808.3372 [hep-ph]]18. Williams R. arXiv:0912.3494 [hep-ph]19. Bhagwat M S, Tandy P C. Phys. Rev. D, 2004, 70: 094039[arXiv:hep-ph/0407163]20. Chang L, Roberts C D. Phys. Rev. Lett. 2009, 103: 081601[arXiv:0903.5461 [nucl-th]].21. Fischer C S, Nickel D, Wambach J. Phys. Rev. D , 2007,76: 094009 [arXiv:0705.4407 [hep-ph]]22. Fischer C S, Nickel D, Williams R. Eur. Phys. J. C,2008,60: 1434 [arXiv:0807.3486 [hep-ph]]23. Llewellyn-Smith C H. Annals Phys., 1969, 53: 52124. Maris P, Tandy P C. Nucl. Phys. Proc. Suppl., 2006, 161:136. [arXiv:nucl-th/0511017]25. Amsler C et al. [Particle Data Group], Phys. Lett. B, 2008,667: 1
  • 加载中

Get Citation
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
Milestone
Received: 2010-02-09
Revised: 1900-01-01
Article Metric

Article Views(2107)
PDF Downloads(418)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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

    Corresponding author: Richard Williams,

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.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return