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Classical vortex solution of the Abelian Higgs model
Abstract
An exact vortex solution for the Abelian Higgs model is found when a particular relation between the coupling constants is satisfied. For this case (in which the masses of the scalar and vector bosons are the same), we decouple the classical field equations and solve them. We obtain power-series expansions and asymptotic expressions for the solution. The values of the fields are explicitly calculated for a one-quantum-of-flux solution, and bounds are established for the $n$-quanta case. Finally, we discuss the field form factors.
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Cites
Table of Integrals, Series, and Products
S., D., Gradshteyn, I. S., & Ryzhik, I. M. (1966) · Mathematics of Computation · doi:10.2307/2003554 · Cited by 8,092
Vortex-line models for dual strings
Nielsen, H. B., & Olesen, P. (1973) · Nuclear Physics B · doi:10.1016/0550-3213(73)90350-7 · Cited by 2,695
Particle spectrum in model field theories from semiclassical functional integral techniques
Dashen, R. F., Hasslacher, B., & Neveu, A. (1975) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.11.3424 · Cited by 696
Quantization of nonlinear waves
Goldstone, J., & Jackiw, R. (1975) · Physical Review D · doi:10.1103/physrevd.11.1486 · Cited by 389
Perturbation expansion around extended-particle states in quantum field theory
Gervais, J.-L., Jevicki, A., & SAKITA, B. (1975) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.12.1038 · Cited by 213
Cited by
Baacke, J. (2008) · Physical Review D · doi:10.1103/physrevd.78.065039 · Cited by 17
Metadata
- Authors
- de Vega, H. J., & Schaposnik, F. A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1976-08-15
- Volume
- 14
- Issue
- 4
- Pages
- 1100-1106
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W1974843532
- Cited by
- 279
- References
- 5
- FWCI
- 2.73
- Type
- journal article
- Language
- en
- Open access
- closed
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- de Vega, H. J., & Schaposnik, F. A. (1976). Classical vortex solution of the Abelian Higgs model. Physical Review D. https://doi.org/10.1103/physrevd.14.1100
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
