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Physical states of dyons
High Energy Physics - Theory · Submitted 11 Jul 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field.
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The abstract, sentence by sentence
It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. This result is established within an enlarged Hamiltonian formalism where surface terms are kept as dynamical variables. These additional variables are parameters of large gauge transformations, and are potential collective coordinates for the quantization of the monopole. Our result implies that there are no physical effects associated to some large gauge transformations and therefore their parameters should not be counted as collective coordinates.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. | result 1.00 | 0.90 | 0.80 | asserted 1.00 |
| s1 | This result is established within an enlarged Hamiltonian formalism where surface terms are kept as dynamical variables. | method 1.00 | 0.85 | 0.05 | asserted 1.00 |
| s2 | These additional variables are parameters of large gauge transformations, and are potential collective coordinates for the quantization of the monopole. | interpretation 0.67 | 0.61 | 0.09 | hedged possibility 0.52 |
| s3 | Our result implies that there are no physical effects associated to some large gauge transformations and therefore their parameters should not be counted as collective coordinates. | interpretation 1.00 | 0.83 | 0.60 | asserted 0.85 |
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Original abstract
It is shown that physical states of a non-abelian Yang-Mills-Higgs dyon are invariant under large gauge transformations that do not commute with its magnetic field. This result is established within an enlarged Hamiltonian formalism where surface terms are kept as dynamical variables. These additional variables are parameters of large gauge transformations, and are potential collective coordinates for the quantization of the monopole. Our result implies that there are no physical effects associated to some large gauge transformations and therefore their parameters should not be counted as collective coordinates.
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