dorsal/arxiv
View SchemaBell-Type Quantum Field Theories
| Authors | Detlef Duerr, Sheldon Goldstein, Roderich Tumulka, Nino Zanghi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407116 |
| URL | https://arxiv.org/abs/quant-ph/0407116 |
| DOI | 10.1088/0305-4470/38/4/R01 |
| Journal | J.Phys.A38:R1,2005 |
Abstract
In [Phys. Rep. 137, 49 (1986)] John S. Bell proposed how to associate particle trajectories with a lattice quantum field theory, yielding what can be regarded as a |Psi|^2-distributed Markov process on the appropriate configuration space. A similar process can be defined in the continuum, for more or less any regularized quantum field theory; such processes we call Bell-type quantum field theories. We describe methods for explicitly constructing these processes. These concern, in addition to the definition of the Markov processes, the efficient calculation of jump rates, how to obtain the process from the processes corresponding to the free and interaction Hamiltonian alone, and how to obtain the free process from the free Hamiltonian or, alternatively, from the one-particle process by a construction analogous to "second quantization." As an example, we consider the process for a second quantized Dirac field in an external electromagnetic field.
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"abstract": "In [Phys. Rep. 137, 49 (1986)] John S. Bell proposed how to associate\nparticle trajectories with a lattice quantum field theory, yielding what can be\nregarded as a |Psi|^2-distributed Markov process on the appropriate\nconfiguration space. A similar process can be defined in the continuum, for\nmore or less any regularized quantum field theory; such processes we call\nBell-type quantum field theories. We describe methods for explicitly\nconstructing these processes. These concern, in addition to the definition of\nthe Markov processes, the efficient calculation of jump rates, how to obtain\nthe process from the processes corresponding to the free and interaction\nHamiltonian alone, and how to obtain the free process from the free Hamiltonian\nor, alternatively, from the one-particle process by a construction analogous to\n\"second quantization.\" As an example, we consider the process for a second\nquantized Dirac field in an external electromagnetic field.",
"arxiv_id": "quant-ph/0407116",
"authors": [
"Detlef Duerr",
"Sheldon Goldstein",
"Roderich Tumulka",
"Nino Zanghi"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/4/R01",
"journal_ref": "J.Phys.A38:R1,2005",
"title": "Bell-Type Quantum Field Theories",
"url": "https://arxiv.org/abs/quant-ph/0407116"
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