Abstract
The problems related to the solution of the eigenvalue problem of the QCD Hamiltonian (consistency of regularization, renormalization and many-body method) are discussed within the framework of Lüscher’s small volume Yang Mills theory. If one computes the corresponding folded diagram coefficients of the effective Hamiltonian within a primarily regularized framework, only the lattice regularization appears to be consistent. The computation yields then a new check for the equivalence between lattice and dimensional regularization.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R.E. Cutkosky et al, Phys. Rev.D 42 1270(1990)
R.E. Cutkosky et al, Phys. Rev.D 42, 1260 (1990);
S. Nojiri, Z. Phys. C22 (1984) 245;
B. Rosenstein et al, Phys. Lett. B177 (1986) 71;
D. Schütte et al, Phys. Rev. D 34, 1157 (1986)
D. Schütte et al, Phys. Rev. D 40, 2692 (1989)
D. Schütte et al, Phys. Rev. D43 (1991) 1991
D. Schütte et al, Annals of Phys. 211 (1991) 112
M. Löscher, Nucl. Phys. B219, 233 (1983)
J. Koller and P. van Baal, Ann. of Phys. 174 (1987) 299;
J. Koller and P. van Baal, Nucl. Phys. B303 (1988) 1
P. van Baal and A. Kronfeld, Nucl. Phys B9 (Suppl.) (1989) 227
P. van Baal, Nucl. Phys. B351 (1991) 183
A. Hasenfratz and P. Hasenfratz, Phys. Lett. 93B (1980) 165
T.T.S. Kuo et al, Nucl. Phys. A176 (1971) 65
C. Bloch, Nucl. Phys. 6 (1958) 329
N. H. Christ and T. D. Lee, Phys. Rev. D22 (1980) 939
D. Horn et al., Phys. Rev. D31 (1985) 2589;
S. A. Chin et al Phys. Rev. D 37, 3001 (1988); J. Bronzan, Hamiltonian QCD: Wave functions on large lattices,Lattice 92, Amsterdam
M. Langer, Diplomarbeit Bonn 1992, unpublished
R. Perry and K. Wilson, private communication; P.A.M. Guichon and D. Schütte, A new gauge invariant regularization for gauge field theories, preprint Bonn 1992
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Schütte, D., Diekmann, B., Langer, M. (1994). Regularization and Renormalization within the Hamiltonian Formulation of QCD. In: Goeke, K., Hwang, WY.P., Speth, J. (eds) Contemporary Topics in Medium Energy Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9835-7_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9835-7_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9837-1
Online ISBN: 978-1-4757-9835-7
eBook Packages: Springer Book Archive