dorsal/arxiv
View SchemaQuantising the Foliation in History Quantum Field Theory
| Authors | C. J. Isham, K. N. Savvidou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110161 |
| URL | https://arxiv.org/abs/quant-ph/0110161 |
Abstract
As a preliminary to discussing the quantisation of the foliation in a history form of general relativity, we show how the discussion in \cite{SavQFT1} of a history version of free, scalar quantum field theory can be augmented in such a way as to include the quantisation of the unit-length, time-like vector that determines a Lorentzian foliation of Minkowski spacetime. We employ a Hilbert bundle construction that is motivated by: (i) discussing the role of the external Lorentz group in the existing history quantum field theory \cite{SavQFT1}; and (ii) considering a specific representation of the extended history algebra obtained from the multi-symplectic representation of scalar field theory.
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"abstract": "As a preliminary to discussing the quantisation of the foliation in a history\nform of general relativity, we show how the discussion in \\cite{SavQFT1} of a\nhistory version of free, scalar quantum field theory can be augmented in such a\nway as to include the quantisation of the unit-length, time-like vector that\ndetermines a Lorentzian foliation of Minkowski spacetime. We employ a Hilbert\nbundle construction that is motivated by: (i) discussing the role of the\nexternal Lorentz group in the existing history quantum field theory\n\\cite{SavQFT1}; and (ii) considering a specific representation of the extended\nhistory algebra obtained from the multi-symplectic representation of scalar\nfield theory.",
"arxiv_id": "quant-ph/0110161",
"authors": [
"C. J. Isham",
"K. N. Savvidou"
],
"categories": [
"quant-ph",
"gr-qc",
"math-ph",
"math.MP"
],
"title": "Quantising the Foliation in History Quantum Field Theory",
"url": "https://arxiv.org/abs/quant-ph/0110161"
},
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