Abstract
An introductory discussion of quantum field theory as the theoretical framework for particle physics and the standard model is given. For the simplified scalar field sector, the lattice formulation and nonperturbative evaluation by Monte Carlo simulation are described. A FORTRAN package is included that allows the simulation of this model for arbitrary dimension.
Software included on the accompanying diskette.
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
M. Creutz, Quarks, Gluons, Lattices, (Cambridge University Press, Cambridge 1983)
I. Montvay, G. Münster, Lattice Field Theory, (Cambridge University Press, Cambridge 1994)
H.J. Rothe, Lattice Gauge Theories. An Introduction, (World Scientific, Singapore 1991)
M. Lüscher and P. Weisz, Phys. Lett. B 212, 472 (1988)
K.G. Wilson and J.G. Kogut, Phys. Reports 12, 75 (1974)
J. Polchinski, Nucl. Phys. B 231, 269 (1984)
K. Wilson, Rev. Mod. Phys. 55, 583 (1983)
K. Binder and D. Stauffer, in Monte Carlo Method in Statistical Physics, 2nd ed., ed. K. Binder (Springer, Berlin 1987) p. 1
A.D. Sokal, Monte Carlo Methods in Statistical Physics: Foundations and New Algorithms, Lecture Notes of the Cours de Troisième Cycle de la Physique en Suisse Romande, Lausanne (1989)
U. Wolff, in Computational Methods in Field Theory, eds. H. Gausterer, C.B. Lang (Springer, Berlin 1992) p. 127
**Nucl. Phys. B (Proc. Suppl.) 42, Proceedings of Lattice 94 (Bielefeld), (1995)
M. Lüscher, R. Narayanan, R. Sommer, P. Weisz, and U. Wolff, Nucl. Phys. B (Proc. Suppl.) 42, 139 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wolff, U. (1996). Numerical Simulation in Quantum Field Theory. In: Hoffmann, K.H., Schreiber, M. (eds) Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85238-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-85238-1_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85240-4
Online ISBN: 978-3-642-85238-1
eBook Packages: Springer Book Archive