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Lattice QCD — from Quark Confinement to Asymptotic Freedom

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International Conference on Theoretical Physics

Abstract

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context is how precisely the world of mesons and nucleons is related to the properties of the theory at high energies, where quarks and gluons are the important degrees of freedom. The lattice formulation of QCD combined with numerical simulations and standard perturbation theory are the tools that allow one to address this issue at a quantitative level.

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References

  1. D.J. Gross, F. WilczekPhys. Rev. Lett.301343 (1973).

    Article  ADS  Google Scholar 

  2. H.D. PolitzerPhys. Rev. Lett.301346 (1973).

    Article  ADS  Google Scholar 

  3. C. Caso et al. (Particle Data Group)EUT. Phys. J.C31 (1998).

    Google Scholar 

  4. S. BethkeJ. Phys.G26R27 (2000).

    ADS  Google Scholar 

  5. K.G. WilsonPhys. Rev.D102445 (1974).

    ADS  Google Scholar 

  6. I. Montvay, G. Münster, Quantum fields on a lattice (Cambridge University Press, Cambridge, 1994).

    Book  Google Scholar 

  7. H. J. Rothe, Lattice gauge theories: an introduction, 2nd ed. (World Scientific, Singapore, 1997).

    MATH  Google Scholar 

  8. R. Gupta, Introduction to lattice QCD, in: Probing the standard model of particle interactions (Les Houches 1997), eds. R. Gupta et al. (Elsevier, Amsterdam, 1999).

    Google Scholar 

  9. A. Kronfeld, Uses of effective field theory in lattice QCD, in: Handbook of QCD, Vol. 4, ed. M. Shifman (to appear), hep-lat/0205021.

    Google Scholar 

  10. M. Müller-Preussker et al. (eds.), Proceedings of the 19th International Symposium on Lattice Field TheoryNucl. Phys. B(Proc. Suppl.)106 & 107(2002).

    Google Scholar 

  11. S. Aoki et al. (CP-PACS Collab.)Phys. Rev.D67034503 (2003).

    ADS  Google Scholar 

  12. S. Necco, R. SommerNucl. Phys.B622328 (2002).

    Article  ADS  Google Scholar 

  13. M. Löscher, P. WeiszJ. High Energy Phys.07049 (2002).

    Article  Google Scholar 

  14. M. Lüscher, K. Symanzik, P. WeiszNucl. Phys.B173365 (1980).

    Article  ADS  Google Scholar 

  15. M. LöscherNucl. Phys.B180317 (1981).

    Article  ADS  Google Scholar 

  16. M. Caselle, R. Fiore, F. Gliozzi, M. Hasenbusch, P. ProveroNucl. Phys.B486245 (1997).

    Article  ADS  Google Scholar 

  17. P. Majumdar, Experiences with the multilevel algorithm, hep-lat/0208068.

    Google Scholar 

  18. M. Caselle, M. Hasenbusch, M. PaneroJHEP 0301057 (2003).

    Article  MathSciNet  ADS  Google Scholar 

  19. S. Perantonis, C. MichaelNucl. Phys.B347854 (1990).

    Article  ADS  Google Scholar 

  20. K. J. Juge, J. Kuti, C. J. MorningstarPhys. Rev.Lett.90161601 (2003).

    Article  ADS  Google Scholar 

  21. M. Löscher, P. Weisz, U. WolffNucl. Phys.B359221 (1991).

    Article  ADS  Google Scholar 

  22. M. Löscher, Advanced lattice QCD, in: Probing the standard model of particle interactions (Les Houches 1997), eds. R. Gupta et al. (Elsevier, Amsterdam, 1999).

    Google Scholar 

  23. M. Lüscher, R. Sommer, P. Weisz, U. WolffNucl. Phys.B413481 (1994).

    Article  ADS  Google Scholar 

  24. S. Capitani et al. (ALPHA collab.)Ned. Phys.B544669 (1999).

    ADS  Google Scholar 

  25. Jochen Heitger et al. (ALPHA collab.)Nucl. Phys. B (Proc. Suppl.) 106859 (2002).

    Article  ADS  Google Scholar 

  26. Achim Bode et al. (ALPHA collab.)Phys. Lett.B51549 (2001).

    ADS  Google Scholar 

  27. J. Garden et al. (ALPHA&UKQCD collab.)Nucl. Phys.B571237 (2000).

    Article  ADS  Google Scholar 

  28. A. Ukawa (CP-PACS & JLQCD collab.)Nucl. Phys. B (Proc. Suppl.) 106195 (2002).

    Article  ADS  Google Scholar 

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Lüscher, M. (2003). Lattice QCD — from Quark Confinement to Asymptotic Freedom. In: Iagolnitzer, D., Rivasseau, V., Zinn-Justin, J. (eds) International Conference on Theoretical Physics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7907-1_16

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  • DOI: https://doi.org/10.1007/978-3-0348-7907-1_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9618-4

  • Online ISBN: 978-3-0348-7907-1

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