Constraint Analysis and Quantization of Anomalous 2-D Thomas-Whitehead Gravity
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
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2026
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| _version_ | 1866908871522516992 |
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| author | Biedke, Eric Quaid, Salvatore Rodgers, Vincent |
| author_facet | Biedke, Eric Quaid, Salvatore Rodgers, Vincent |
| contents | The two-dimensional effective Polyakov action is often realized as the anomalous contributions of string theories and fermions coupled to gravity in two-dimensions. However, as a result of the reparameterization invariance, one finds that the effective action produces vanishing Hamiltonians as constraints even in disparate gauges such as the dynamical light-cone and the ADM formalism of the metric. On the other hand, two-dimensional gravitational theories naturally arise as geometric actions on the coadjoint orbits of the Virasoro algebra. The Thomas-Whitehead gravity formalism extends the effective Polyakov action in such a way that the defining coadjoint element for the orbit becomes a dynamical field, viz the diffeomorphism field. In this work, we examine the constraint analysis and quantization of the Hamiltonian in the context of Thomas-Whitehead gravity using both the dynamical light-cone and the ADM formalisms of the metric. Constraint analysis is then repeated in a Minkowski background and with a dynamical action for the diffeomorphisms field arising from the Thomas-Whitehead action. Adding dynamics to the diffeomorphism field subsequently removes the vanishing Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06995 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constraint Analysis and Quantization of Anomalous 2-D Thomas-Whitehead Gravity Biedke, Eric Quaid, Salvatore Rodgers, Vincent General Relativity and Quantum Cosmology High Energy Physics - Theory The two-dimensional effective Polyakov action is often realized as the anomalous contributions of string theories and fermions coupled to gravity in two-dimensions. However, as a result of the reparameterization invariance, one finds that the effective action produces vanishing Hamiltonians as constraints even in disparate gauges such as the dynamical light-cone and the ADM formalism of the metric. On the other hand, two-dimensional gravitational theories naturally arise as geometric actions on the coadjoint orbits of the Virasoro algebra. The Thomas-Whitehead gravity formalism extends the effective Polyakov action in such a way that the defining coadjoint element for the orbit becomes a dynamical field, viz the diffeomorphism field. In this work, we examine the constraint analysis and quantization of the Hamiltonian in the context of Thomas-Whitehead gravity using both the dynamical light-cone and the ADM formalisms of the metric. Constraint analysis is then repeated in a Minkowski background and with a dynamical action for the diffeomorphisms field arising from the Thomas-Whitehead action. Adding dynamics to the diffeomorphism field subsequently removes the vanishing Hamiltonians. |
| title | Constraint Analysis and Quantization of Anomalous 2-D Thomas-Whitehead Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.06995 |