Few-Body Systems

, Volume 40, Issue 3–4, pp 209–235 | Cite as

Schwinger Functions and Light-Quark Bound States

  • M. S. Bhagwat
  • A. Höll
  • A. Krassnigg
  • C. D. Roberts
  • S. V. Wright


We examine the applicability and viability of methods to obtain knowledge about bound states from information provided solely in Euclidean space. Rudimentary methods can be adequate if one only requires information about the ground and first excited state and assumptions made about analytic properties are valid. However, to obtain information from Schwinger functions about higher mass states, something more sophisticated is necessary. A method based on the correlator matrix can be dependable when operators are carefully tuned and errors are small. This method is nevertheless not competitive when an unambiguous analytic continuation of even a single Schwinger function to complex momenta is available.


Wightman Function Inverse Amplitude Method Lower Mass State Timelike Momentum Spacelike Data 
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  1. Glimm, J., Jaffe, A. 1981Quantum PhysicsSpringerBerlin Heidelberg New YorkMATHGoogle Scholar
  2. Hawes, F. T., Maris, P., Roberts, C. D. 1998Phys. Lett.B440353ADSGoogle Scholar
  3. Bhagwat, M. S., Pichowsky, M. A., Roberts, C. D., Tandy, P. C. 2003Phys. Rev.C68015203ADSGoogle Scholar
  4. Alkofer, R., Fischer, C. S., Reinhardt, H., von Smekal, L. 2003Phys. Rev.D68045003ADSGoogle Scholar
  5. Alkofer, R., Detmold, W., Fischer, C. S., Maris, P. 2004Phys. Rev.D70014014ADSGoogle Scholar
  6. Fischer, C. S., Pennington, M. R. 2006Phys. Rev.D73034029ADSGoogle Scholar
  7. Šauli, V. 2006Few-Body Systems3945CrossRefADSGoogle Scholar
  8. Bhagwat, M. S., Tandy, P. C. 2006AIP Conf. Proc.842225CrossRefADSGoogle Scholar
  9. Nickel, D.: Extraction of Spectral Functions from Dyson-Schwinger Studies via the Maximum Entropy Method [hep-ph/0607224]Google Scholar
  10. Roberts, C. D., Williams, A. G. 1994Prog. Part. Nucl. Phys.33477CrossRefADSGoogle Scholar
  11. Roberts, C. D., Schmidt, S. M. 2000Prog. Part. Nucl. Phys.45S1CrossRefADSGoogle Scholar
  12. Alkofer, R., von Smekal, L. 2001Phys. Rept.353281MATHCrossRefMathSciNetADSGoogle Scholar
  13. Maris, P., Roberts, C. D. 2003Int. J. Mod. Phys.E12297ADSGoogle Scholar
  14. Fischer, C. S. 2006J. Phys.G32R253ADSGoogle Scholar
  15. Bhagwat, M. S., Krassnigg, A., Maris, P., Roberts, C. D.: Mind the Gap [nucl-th/0612027]Google Scholar
  16. Bhagwat, M. S., Maris, P.: Vector Meson Form Factors and Their Quark-Mass Dependence [nucl-th/0612069]Google Scholar
  17. Höll, A., Krassnigg, A., Roberts, C. D. 2004Phys. Rev.C70042203(R)ADSGoogle Scholar
  18. Höll, A., Krassnigg, A., Roberts, C. D., Wright, S. V. 2005Int. J. Mod. Phys.A201778ADSGoogle Scholar
  19. Höll, A., Krassnigg, A., Maris, P., Roberts, C. D., Wright, S. V. 2005Phys. Rev.C71065204ADSGoogle Scholar
  20. Krassnigg, A., Roberts, C. D., Wright, S. V. 2007Int. J. Mod. Phys.A22424ADSGoogle Scholar
  21. Bloch, J. C. R., Kalinovsky, Yu. L., Roberts, C. D., Schmidt, S. M. 1999Phys. Rev.D60111502ADSGoogle Scholar
  22. Burden, C. J., Pichowsky, M. A. 2002Few-Body Systems32119CrossRefADSGoogle Scholar
  23. Watson, P., Cassing, W., Tandy, P. C. 2004Few-Body Systems35129ADSGoogle Scholar
  24. Krassnigg, A. 2005Phys. Rev.C72028201ADSGoogle Scholar
  25. Alkofer, R., Höll, A., Kloker, M., Krassnigg, A., Roberts, C. D. 2005Few-Body Systems371CrossRefADSGoogle Scholar
  26. Höll, A., Alkofer, R., Kloker, M., Krassnigg, A., Roberts, C. D., Wright, S. V. 2005Nucl. Phys.A755298ADSGoogle Scholar
  27. Flambaum, V. V., Höll, A., Jaikumar, P., Roberts, C. D., Wright, S. V. 2006Few-Body Systems3831CrossRefADSGoogle Scholar
  28. Bhagwat, M. S., Höll, A., Krassnigg, A., Roberts, C. D.: Theory and Phenomenology of Hadrons [nucl-th/0610080]Google Scholar
  29. Bhagwat, M., Pichowsky, M. A., Tandy, P. C. 2003Phys. Rev.D67054019ADSGoogle Scholar
  30. Asakawa, M., Hatsuda, T., Nakahara, Y. 2001Prog. Part. Nucl. Phys.46459CrossRefADSGoogle Scholar
  31. Leinweber, D. B., Melnitchouk, W., Richards, D. G., Williams, A. G., Zanotti, J. M. 2005Lect. Notes Phys.66371ADSCrossRefGoogle Scholar
  32. Michael, C. 1985Nucl. Phys.B25958CrossRefMathSciNetADSGoogle Scholar
  33. Lüscher, M., Wolff, U. 1990Nucl. Phys.B339222CrossRefADSGoogle Scholar
  34. Maris, P., Roberts, C. D., Tandy, P. C. 1998Phys. Lett.B420267ADSGoogle Scholar
  35. Maris, P., Roberts, C. D. 1997Phys. Rev.C563369ADSGoogle Scholar
  36. Chang, L., Liu, Y.-X., Bhagwat, M. S., Roberts, C. D., Wright, S. V. 2007Phys. Rev.C75015201ADSGoogle Scholar
  37. Maris, P., Tandy, P. C. 1999Phys. Rev.C60055214ADSGoogle Scholar
  38. Maris, P., Raya, A., Roberts, C. D., Schmidt, S. M. 2003Eur. Phys. J.A18231ADSGoogle Scholar
  39. Llewellyn-Smith, C. H. 1969Ann. Phys.53521CrossRefGoogle Scholar
  40. Truong, T. N.: Phys. Rev. Lett. 61, 2526 (1988); 67, 2260 (1991)Google Scholar
  41. Dobado, A., Pelaez, J. R. 1993Phys. Rev.D474883ADSGoogle Scholar
  42. Höll, A., Maris, P., Roberts, C. D., Wright, S. V. 2006Nucl. Phys. Proc. Suppl.16187CrossRefADSGoogle Scholar
  43. McNeile, C.: Meson and Baryon Spectroscopy on a Lattice (Int. Rev. Nucl. Phys., Vol. 9), (Green, A. M., ed.), pp. 1–101. Singapore: World Scientific 2004Google Scholar
  44. Richards, D. G.: Lattice Gauge Theory: QCD from Quarks to Hadrons [nucl-th/0006020]Google Scholar
  45. Basak, S. LHP Collaboration et al. 2005Nucl. Phys. Proc. Suppl.140278CrossRefADSGoogle Scholar
  46. Morningstar, C. 2006Int. J. Mod. Phys.A21843ADSGoogle Scholar
  47. Juge, K. J., et al.: Towards a Determination of the Spectrum of QCD Using a Space-Time Lattice [hep-lat/0601029]Google Scholar
  48. Burch, T., Gattringer, C., Glozman, L. Y., Hagen, C., Lang, C. B., Schafer, A.: Phys. Rev. D73, 094505 (2006); Burch, T., Gattringer, C., Glozman, L. Y., Hagen, C., Hierl, D., Lang, C. B., Schafer, A.: Phys. Rev. D74, 014504 (2006)Google Scholar
  49. Anisovich, A. V., Anisovich, V. V., Sarantsev, A. V. 2000Phys. Rev.D62051502ADSGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • M. S. Bhagwat
    • 1
  • A. Höll
    • 2
  • A. Krassnigg
    • 3
  • C. D. Roberts
    • 1
  • S. V. Wright
    • 1
  1. 1.Physics DivisionArgonne National LaboratoryArgonneUSA
  2. 2.Institut für PhysikUniversität RostockRostockGermany
  3. 3.Institut für PhysikKarl-Franzens-Universität GrazGrazAustria

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