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Quantization of Non-Abelian Yang-Mills Theories
General Physics · Submitted 26 Jul 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The integrability conditions are investigated and the set of equations of motion is integrable.
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The abstract, sentence by sentence
A non-Abelian theory of fermions interacting with gauge bosons, the constrained system, is studied. The equations of motion for a singular system are obtained as total differential equations in many variables. The integrability conditions are investigated and the set of equations of motion is integrable. The Senjanovic and the canonical methods are used to quantize the system, and the integration is taken over the canonical phase space coordinates.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A non-Abelian theory of fermions interacting with gauge bosons, the constrained system, is studied. | contribution 0.66 | 0.71 | 0.05 | asserted 0.95 |
| s1 | The equations of motion for a singular system are obtained as total differential equations in many variables. | method 0.37 | 0.81 | 0.05 | asserted 1.00 |
| s2 | The integrability conditions are investigated and the set of equations of motion is integrable. | result 0.96 | 0.85 | 0.21 | asserted 1.00 |
| s3 | The Senjanovic and the canonical methods are used to quantize the system, and the integration is taken over the canonical phase space coordinates. | method 0.98 | 0.86 | 0.21 | asserted 1.00 |
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The paper
Original abstract
A non-Abelian theory of fermions interacting with gauge bosons, the constrained system, is studied. The equations of motion for a singular system are obtained as total differential equations in many variables. The integrability conditions are investigated and the set of equations of motion is integrable. The Senjanovic and the canonical methods are used to quantize the system, and the integration is taken over the canonical phase space coordinates.
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Uses the method or tool of 1 paper
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The equivalent Lagrangian method [ref] is used to obtain the set of Hamilton-Jacobi partial differential equations (HJPDE).
Treatment of Landau-Ginzburg Theory with Constraints · Introduction · 0.97
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