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Quantum Fields on a Lattice
Abstract
This book presents a comprehensive and coherent account of the theory of quantum fields on a lattice, an essential technique for the study of the strong and electroweak nuclear interactions. Quantum field theory describes basic physical phenomena over an extremely wide range of length or energy scales. Quantum fields exist in space and time, which can be approximated by a set of lattice points. This approximation allows the application of powerful analytical and numerical techniques, and has provided a powerful tool for the study of both the strong and the electroweak interaction. After introductory chapters on scalar fields, gauge fields and fermion fields, the book studies quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large-scale numerical simulations. The book will be valuable for graduate students and researchers in theoretical physics, elementary particle physics, and field theory, interested in non-perturbative approximations and numerical simulations of quantum field phenomena.
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Citations
Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Ab Initio Determination of Light Hadron Masses
Dürr, S., Fodor, Z., Frison, J., Hoelbling, C., Hoffmann, R., Katz, S. D., Krieg, S., Kurth, T., Lellouch, L., Lippert, T., et al. (2008) · Science · doi:10.1126/science.1163233 · Cited by 720
Lattice determination of the critical point of QCD at finite T and μ
Fodor, Z., & Katz, S. D. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/014 · Cited by 677
Harada, M., & Yamawaki, K. (2003) · Physics Reports · doi:10.1016/s0370-1573(03)00139-x · Cited by 513
Metadata
- Authors
- Montvay, I., & Münster, G.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1994-03-03
- OpenAlex
- W1660956061
- Cited by
- 1,197
- References
- 0
- FWCI
- 21.22
- Type
- book
- Language
- en
- Open access
- closed
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- Montvay, I., & Münster, G. (1994). Quantum Fields on a Lattice. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511470783
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