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Recursive Construction of Generator for Lagrangian Gauge Symmetries
High Energy Physics - Theory · Submitted 7 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We obtain, for a subclass of structure functions characterizing a first class Hamiltonian system, recursive relations from which the general form of the local symmetry transformations can be constructed in terms of the independent gauge parameters.
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The abstract, sentence by sentence
We obtain, for a subclass of structure functions characterizing a first class Hamiltonian system, recursive relations from which the general form of the local symmetry transformations can be constructed in terms of the independent gauge parameters. We apply this to a non-trivial Hamiltonian system involving two primary constraints, as well as two secondary constraints of the Nambu-Goto type.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We obtain, for a subclass of structure functions characterizing a first class Hamiltonian system, recursive relations from which the general form of the local symmetry transformations can be constructed in terms of the independent gauge parameters. | contribution 0.65 | 0.94 | 0.79 | asserted 1.00 |
| s1 | We apply this to a non-trivial Hamiltonian system involving two primary constraints, as well as two secondary constraints of the Nambu-Goto type. | contribution 0.73 | 0.92 | 0.08 | asserted 1.00 |
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The paper
Original abstract
We obtain, for a subclass of structure functions characterizing a first class Hamiltonian system, recursive relations from which the general form of the local symmetry transformations can be constructed in terms of the independent gauge parameters. We apply this to a non-trivial Hamiltonian system involving two primary constraints, as well as two secondary constraints of the Nambu-Goto type.
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4 arXiv papers cite this in 7 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 1 paper
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The approach in [ref] is perhaps the most befitting to our own exposition, requiring only a suitable adaptation from particle systems to manifestly first order field theories that is devoid of conceptual subtleties.
A Lagrangian constraint analysis of first order classical field theories with an application to gravity · Off shell gauge identities · 0.80
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