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Gauge fields on a lattice. I. General outlook
Abstract
We present Wilson's model of gauge-field theory on a lattice, including a coupling to a matter field. The algebraic structure is surveyed for both commutative and noncommutative groups. Various regimes are suggested by mean-field theory according to the relative values of coupling constants. In particular the gauge field undergoes a first-order transition while the matter-field transition is of second order.
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Citations
Cited by
Gauge field theories on a lattice
Osterwalder, K., & Seiler, E. (1978) · Annals of Physics · doi:10.1016/0003-4916(78)90039-8 · Cited by 721
Impossibility of spontaneously breaking local symmetries
Elitzur, S. (1975) · Physical Review D · doi:10.1103/physrevd.12.3978 · Cited by 674
Phase transition in the nonlinearσmodel in a (2+ε)-dimensional continuum
Bardeen, W. A., Lee, B. W., & Shrock, R. E. (1976) · Physical Review D · doi:10.1103/physrevd.14.985 · Cited by 159
Lattice physics approaches for neural networks
Bardella, G., Franchini, S., Pani, P., & Ferraina, S. (2024) · iScience · doi:10.1016/j.isci.2024.111390 · Cited by 17
Metadata
- Authors
- Balian, R., Drouffe, J. M., & Itzykson, C.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1974-11-15
- Volume
- 10
- Issue
- 10
- Pages
- 3376-3395
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2086504673
- Cited by
- 192
- References
- 0
- FWCI
- 9.67
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Gauge fields on a lattice. I. General outlook. https://app.cochat.ai/papers/10.1103/physrevd.10.3376
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- Balian, R., Drouffe, J. M., & Itzykson, C. (1974). Gauge fields on a lattice. I. General outlook. Physical Review D. https://doi.org/10.1103/physrevd.10.3376
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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