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Monte Carlo study of quantized SU(2) gauge theory
Abstract
Using Monte Carlo techniques, we evaluate path integrals for pure SU(2) gauge fields. Wilson's regularization procedure on a lattice of up to ${10}^{4}$ sites controls ultraviolet divergences. Our renormalization prescription, based on confinement, is to hold fixed the string tension, the coefficient of the asymptotic linear potential between sources in the fundamental representation of the gauge group. Upon reducing the cutoff, we observe a logarithmic decrease of the bare coupling constant in a manner consistent with the perturbative renormalization-group prediction. This supports the coexistence of confinement and asymptotic freedom for quantized non-Abelian gauge fields.
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Citations
Cites
Chodos, A., Jaffe, R. L., Johnson, K., Thorn, C. B., & Weisskopf, V. F. (1974) · Physical Review D · doi:10.1103/physrevd.9.3471 · Cited by 2,670
Cited by
Einstein gravity as a symmetry-breaking effect in quantum field theory
Adler, S. L. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.729 · Cited by 699
Aoki, Y., Blum, T., Colangelo, G., Collins, S., Morte, M. D., Dimopoulos, P., Dürr, S., Feng, X., Fukaya, H., Golterman, M., et al. (2022) · The European Physical Journal C · doi:10.1140/epjc/s10052-022-10536-1 · Cited by 587
The lattice gauge theory approach to quantum chromodynamics
Kogut, J. B. (1983) · Reviews of Modern Physics · doi:10.1103/revmodphys.55.775 · Cited by 555
Creutz, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.313 · Cited by 406
Self-citationEffective potential for the order parameter of gauge theories at finite temperature
Weiss, N. (1981) · Physical Review D · doi:10.1103/physrevd.24.475 · Cited by 313
Metadata
- Authors
- Creutz, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1980-04-15
- Volume
- 21
- Issue
- 8
- Pages
- 2308-2315
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2140572013
- Cited by
- 790
- References
- 1
- FWCI
- 28.65
- Type
- journal article
- Language
- en
- Open access
- closed
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