dorsal/arxiv
View SchemaUltralocal Fields and their Relevance for Reparametrization Invariant Quantum Field Theory
| Authors | John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012076 |
| URL | https://arxiv.org/abs/quant-ph/0012076 |
| DOI | 10.1088/0305-4470/34/15/306 |
| Journal | J.Phys.A34:3277-3288,2001 |
Abstract
Reparametrization invariant theories have a vanishing Hamiltonian and enforce their dynamics through a constraint. We specifically choose the Dirac procedure of quantization before the introduction of constraints. Consequently, for field theories, and prior to the introduction of any constraints, it is argued that the original field operator representation should be ultralocal in order to remain totally unbiased toward those field correlations that will be imposed by the constraints. It is shown that relativistic free and interacting theories can be completely recovered starting from ultralocal representations followed by a careful enforcement of the appropriate constraints. In so doing all unnecessary features of the original ultralocal representation disappear. The present discussion is germane to a recent theory of affine quantum gravity in which ultralocal field representations have been invoked before the imposition of constraints.
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"abstract": "Reparametrization invariant theories have a vanishing Hamiltonian and enforce\ntheir dynamics through a constraint. We specifically choose the Dirac procedure\nof quantization before the introduction of constraints. Consequently, for field\ntheories, and prior to the introduction of any constraints, it is argued that\nthe original field operator representation should be ultralocal in order to\nremain totally unbiased toward those field correlations that will be imposed by\nthe constraints. It is shown that relativistic free and interacting theories\ncan be completely recovered starting from ultralocal representations followed\nby a careful enforcement of the appropriate constraints. In so doing all\nunnecessary features of the original ultralocal representation disappear.\n The present discussion is germane to a recent theory of affine quantum\ngravity in which ultralocal field representations have been invoked before the\nimposition of constraints.",
"arxiv_id": "quant-ph/0012076",
"authors": [
"John R. Klauder"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/34/15/306",
"journal_ref": "J.Phys.A34:3277-3288,2001",
"title": "Ultralocal Fields and their Relevance for Reparametrization Invariant Quantum Field Theory",
"url": "https://arxiv.org/abs/quant-ph/0012076"
},
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