The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Topology of Higgs fields
Abstract
It is shown that the conserved magnetic charge discovered by ’t Hooft in non−Abelian gauge theories with spontaneous symmetry breaking is not associated with the invariance of the action under a symmetry group. Rather, it is a topological characteristic of an isotriplet of Higgs fields in a three−dimensional space: the Brouwer degree of the mapping between a large sphere in configuration space and the unit sphere in field space provided by the normalized Higgs field ?a = φa (φbφb)−1/2. The use of topological methods in determining magnetic charge configurations is outlined. A peculiar interplay between Dirac strings and zeros of the Higgs field under gauge transformations is pointed out. The monopole−antimonopole system is studied.
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Cites
A unified field theory of mesons and baryons
Skyrme, T. H. R. (1962) · Nuclear Physics · doi:10.1016/0029-5582(62)90775-7 · Cited by 2,585
Dirac, P. A. M. (1948) · Physical Review · doi:10.1103/physrev.74.817 · Cited by 1,170
Magnetic Charge and Quantum Field Theory
Schwinger, J. (1966) · Physical Review · doi:10.1103/physrev.144.1087 · Cited by 511
Connection between Spin, Statistics, and Kinks
Finkelstein, D., & Rubinstein, J. (1968) · Journal of Mathematical Physics · doi:10.1063/1.1664510 · Cited by 377
Local-Lagrangian Quantum Field Theory of Electric and Magnetic Charges
Zwanziger, D. (1971) · Physical Review D · doi:10.1103/physrevd.3.880 · Cited by 307
Finkelstein, D., & Misner, C. W. (1959) · Annals of Physics · doi:10.1016/0003-4916(59)90080-6 · Cited by 185
Finkelstein, D. (1966) · Journal of Mathematical Physics · doi:10.1063/1.1705025 · Cited by 149
The Euler Number of a Riemann Manifold
Allendoerfer, C. B. (1940) · American Journal of Mathematics · doi:10.2307/2371450 · Cited by 65
Cited by
Concept of nonintegrable phase factors and global formulation of gauge fields
Wu, T. T., & Yang, C. N. (1975) · Physical Review D · doi:10.1103/physrevd.12.3845 · Cited by 1,196
Marciano, W., & Pagels, H. (1978) · Physics Reports · doi:10.1016/0370-1573(78)90208-9 · Cited by 771
Class of scalar-field soliton solutions in three space dimensions
Friedberg, R., Lee, T. D., & Sirlin, A. (1976) · Physical Review D · doi:10.1103/physrevd.13.2739 · Cited by 498
Axial anomalies and index theorems on open spaces
Callias, C. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01202525 · Cited by 481
Adler-Bell-Jackiw anomaly and fermion-number breaking in the presence of a magnetic monopole
Rubakov, V. A. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90034-7 · Cited by 440
Metadata
- Authors
- Arafune, J., Freund, P. G. O., & Goebel, C. J.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1975-02-01
- Volume
- 16
- Issue
- 2
- Pages
- 433-437
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2125926155
- Cited by
- 366
- References
- 8
- FWCI
- 34.88
- Type
- journal article
- Language
- en
- Open access
- closed
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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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