Few-Body Systems

, Volume 41, Issue 3–4, pp 185–199 | Cite as

Truncated Schwinger-Dyson equations and gauge covariance in QED3

  • A. Bashir
  • A. Raya
Article

Abstract

We study the Landau-Khalatnikov-Fradkin transformations (LKFT) in momentum space for the dynamically generated mass function in QED3. Starting from the Landau gauge results in the rainbow approximation, we construct solutions in other covariant gauges. We confirm that the chiral condensate is gauge invariant as the structure of the LKFT predicts. We also check that the gauge dependence of the constituent fermion mass is considerably reduced as compared to the one obtained directly by solving SDE.

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References

  1. Maris, P, Roberts, CD 1997Phys Rev C563369CrossRefADSGoogle Scholar
  2. Farhi, E, Susskind, L 1981Phys Rep74277CrossRefADSGoogle Scholar
  3. Hill, CT, Simmons, EH 2003Phys Rep381235CrossRefADSGoogle Scholar
  4. Dobrescu BA (1999) Phys Lett B 461:99; Cheng H, Dobrescu BA, Hill CT (2000) Nucl Phys B 589:249; Gusynin V, Hashimoto M, Tanabashi M, Yamawaki K (2002) Phys Rev D 65:116008Google Scholar
  5. Gusynin, V, Hashimoto, M, Tanabashi, M, Yamawaki, K 2002Phys Rev D65116008CrossRefGoogle Scholar
  6. Kızılersü A, Schreiber AW, Williams AG (2001) Phys Lett B 499:261; Kızılersü A, Sizer T, Williams AG (2002) Phys Rev D 65:085020Google Scholar
  7. Fischer, CS, Alkofer, R, Dahm, T, Maris, P 2004Phys Rev D70073007CrossRefADSGoogle Scholar
  8. Gopfert, M, Mack, G 1981Commun Math Phys82545CrossRefADSMathSciNetGoogle Scholar
  9. Burden, CJ, Roberts, CD 1991Phys Rev D44540CrossRefADSGoogle Scholar
  10. Burden, CJ, Praschifka, J, Roberts, CD 1992Phys Rev D462695CrossRefADSGoogle Scholar
  11. Maris, P 1995Phys Rev D526087CrossRefADSMathSciNetGoogle Scholar
  12. Dorey N, Mavromatos NE (1992) Nucl Phys B 386:614; Farakos K, Mavromatos NE (1998) Mod Phys Lett A 13:1019; Franz M, Tesanovic Z (2001) Phys Rev Lett 87:257003; Herbut IF (2002) Phys Rev B 66:094504; Franz M, Tesanovic Z, Vafek O (2002) Phys Rev B 66:054535Google Scholar
  13. Sutherland, M,  et al. 2005Phys Rev Lett94147004CrossRefADSGoogle Scholar
  14. Gusynin VP, Sharapov SG (2005) Phys Rev Lett 95:146801; Novoselov KS et al (2005) Nature 438:197; Zhang Y et al (2005) Nature 438:201Google Scholar
  15. Hands SJ, Kogut JB, Scorzato L, Strouthos CG (2004) Phys Rev B 70:104501; Hands SJ, Kogut JB, Strouthos CG (2002) Nucl Phys B 645:321; Hands SJ, Kogut JB, Scorzato L, Strouthos CG (2003) Nucl Phys Proc Suppl 119:974; Gusynin VP, Reenders M (2003) Phys Rev D 68:025017; Pennington MR, Walsh D (1991) Phys Lett B 253:246Google Scholar
  16. Appelquist T, Wijewardhana LCR (2004) In: Quantum Theory and Symmetries. Proc 3rd Int Symp, Cincinnati, USA, 10–14 Sept 2003. World-Scientific, Singapore; Mitra I, Ratabole R, Sharatchandra HS (2007) Mod Phys Lett A 22:297Google Scholar
  17. Ward JC (1950) Phys Rev 78:182; Green HS (1953) Proc Phys Soc (London) A 66:873; Takahashi Y (1957) Nuovo Cim 6:371Google Scholar
  18. Nielsen NK (1975) Nucl Phys B 101:173; Piguet O, Sibold K (1985) Nucl Phys B 253:517Google Scholar
  19. Landau LD, Khalatnikov IM (1956) Zh Eksp Teor Fiz 29:89; Landau LD, Khalatnikov IM (1956) Sov Phys JETP 2:69; Fradkin ES (1956) Sov Phys JETP 2:361; Johnson K, Zumino B (1959) Phys Rev Lett 3:351; Zumino B (1960) J Math Phys 1:1; Okubo S (1960) Nuovo Cim 15:949; Bialynicki-Birula I (1960) Nuovo Cim 17:951; Sonoda H (2001) Phys Lett B 499:253Google Scholar
  20. Delbourgo R, West P (1977) J Phys A 10:1049; Phys Lett B 72:96; Delbourgo R (1979) Nuovo Cim A 49:484; Delbourgo R, Keck BW (1980) J Phys G 6:275; (1980) J Phys A 13:701; Delbourgo R, Keck BW, Parker CN (1981) J Phys A 14:921Google Scholar
  21. Bashir, A 2000Phys Lett B491280CrossRefADSGoogle Scholar
  22. Bashir, A, Raya, A 2002Phys Rev D66105005CrossRefADSGoogle Scholar
  23. Bashir, A, Delbourgo, R 2004J Phys A376587MATHCrossRefADSMathSciNetGoogle Scholar
  24. Aitchison, IJR, Mavromatos, NE, McNeill, D 1997Phys Lett B402154CrossRefADSGoogle Scholar
  25. Bashir A, Raya A (2005) Nucl Phys B 709:307; Bashir A, Raya A (2005) Nucl Phys Proc Suppl B 141:259; Bashir A, Raya A (2004) Proc Int Workshop on Dynamical Symmetry Breaking. Nagoya Univ, Nagoya; Bashir A, Raya A (2007) Brazilian J Phys 37:313; Bashir A, Raya A (2006) Proc Workshop Quark Confinement and the Hadron Spectrum VII, Azores, PortugalGoogle Scholar
  26. Ball, JS, Chiu, T-W 1980Phys Rev D222542CrossRefADSGoogle Scholar
  27. Curtis, DC, Pennington, MR 1990Phys Rev D424165CrossRefADSGoogle Scholar
  28. Dong, Z, Munczek, HJ, Roberts, CD 1994Phys Lett B333544Google Scholar
  29. Bashir A, Pennington MR (1994) Phys Rev D 50:7679; (1996) Phys Rev D 53:4694Google Scholar
  30. Bashir, A, Kızılersü, A, Pennington, MR 1998Phys Rev D571242CrossRefADSGoogle Scholar
  31. Bashir, A, Kızılersü, A, Pennington, MR 2000Phys Rev D62085002CrossRefADSGoogle Scholar
  32. Bashir, A, Raya, A 2001Phys Rev D64105001CrossRefADSGoogle Scholar
  33. Bashir, A, Raya, A 2005Ling, AV eds. Trends in Boson ResearchNovaNew YorkGoogle Scholar
  34. Bashir, A, Huet, A, Raya, A 2002Phys Rev D66025029CrossRefADSGoogle Scholar
  35. Hollenberg, LCL, Roberts, CD, McKellar, BHJ 1992Phys Rev C462057CrossRefADSGoogle Scholar
  36. Hawes, FT, Roberts, CD, Williams, AG 1994Phys Rev D494683CrossRefADSGoogle Scholar
  37. Burden, CJ, Roberts, CD 1993Phys Rev D475581CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • A. Bashir
    • 1
    • 2
    • 3
  • A. Raya
    • 1
    • 2
  1. 1.Instituto de Física y MatemáticasUniversidad Michoacana de San Nicolás de HidalgoMoreliaMéxico
  2. 2.Instituto de Ciencias NuclearesUniversidad Nacional Autónoma de México, Circuito ExteriorMéxico
  3. 3.IPPPDurham UniversityDurhamUK

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