Abstract
In the last few years lattice gauge theory has become the primary tool for the study of nonperturbative phenomena in gauge theories. The lattice serves as an ultraviolet cutoff, rendering the theory well defined and amenable to numerical and analytical work. Of course, as with any cutoff, at the end of a calculation one must consider the limit of vanishing lattice spacing in order to draw conclusions on the physical continuum limit theory. The lattice has the advantage over other regulators that it is not tied to the Feynman expansion. This opens the possibility of other approximation schemes than conventional perturbation theory. Thus Wilson used a high temperature expansion to demonstrate confinement in the strong coupling limit. Monte Carlo simulations have dominated the research in lattice gauge theory for the last four years, giving first principle calculations of nonperturbative parameters characterizing the continuum limit.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Coleman and E. Weinberg, Phys. Rev. D7 (1973) 1888.
D. Gross and F. Wilczek, Phys. Rev. Lett. 30 (1973) 1343; Phys. Rev. D8 (1973) 3633; W.E. Caswell, Phys. Rev. Lett. 33 (1974)244; D.R.T. Jones, Nucl. Phys. B75 (1974) 531.
M. Creutz and K.J.M. Moriarty, Phys. Rev. D26 (1982) 2166.
A. Hasenfratz and P. Hasenfratz, Phys. Lett. 93B (1980) 165.
K. Wilson, Phys. Rev. D10 (1974) 2445.
R. Balian, J.M. Drouffe, C. Itzykson, Phys. Rev. D10 (1974) 3376; D11 (1975) 2098; D11 (1975) 2104.
L.P. Kadanoff, Rev. Mod. Phys. 49 (1977) 267.
K.M. Bitar, S. Gottlieb, C. Zachos, Phys. Rev. D26 (1982) 2853.
E. Tomboulis, Phys. Rev Lett. 50 (1983) 885.
H. Creutz, L. Jacobs, C. Rebbi, Physics Reports (In press).
L. McClerran and B. Svetitsky, Phys. Lett. 98B (1981)195; J. J. Kuti, J. Polonyi, K. Szlachanyi, Phys. Lett. 98B (1981) 199; K. Kajantie, C. Montonen, E. Pietarinen, Zeit. Phys. C9 (1981) 253; J. Engels, F. Karsch, H. Satz, J. Montvay, Phys. Lett. 101B (1981) 89; Nucl. Phys. B205 (1982) 545.
K. Johnson, talk at this conference.
B. Berg and A. Billoire, Phys. Lett. 114B (1982)324; K. Ishlkava, C. Schlerholz, M. Teper, Phys. Lett. 110B (1982) 399.
D. Weingarten and D. Petcher, Phys. Lett. 99B (1981) 333.
F. Fucito, E. Marinari, G. Parisi, C. Rebbi, Nucl. Phys. B180 (1981) 369.
H. Hamber, E. Marinari, C. Parisi, C. Rebbi, preprint (1983).
J. Kutl, Phys. Rev. Lett. 49 (1982) 183.
W. Duffy, G. Guralnik, D. Weingarten, preprint (1983)
D. Welngarten, Phys. Lett. 109B (1982)57; H. Hamber and G. Parisi, Phys. Rev. Lett. 47 (1982) 1792; E. Marinari, G. Parisi, C. Rebbi, Phys. Rev. Lett. 47 (1981) 1798.
D. Callaway and A. Rahman, Phys. Rev. Lett. 49 (1982) 613.
M. Creutz, preprint (1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Birkhäuser Boston, Inc.
About this chapter
Cite this chapter
Creutz, M. (1983). Lattice Gauge Theories. In: Milton, K.A., Samuel, M.A. (eds) Workshop on Non-Perturbative Quantum Chromodynamics. Progress in Physics, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5619-9_14
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5619-9_14
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3127-7
Online ISBN: 978-1-4612-5619-9
eBook Packages: Springer Book Archive