The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Bell’s inequalities and quantum field theory. I. General setting
Abstract
Bell’s inequalities are briefly presented in the context of order-unit spaces and then studied in some detail in the framework of C*-algebras. The discussion is then specialized to quantum field theory. Maximal Bell correlations β(φ,𝒜(𝒪1), 𝒜(𝒪2)) for two subsystems localized in regions 𝒪1 and 𝒪2 and constituting a system in the state φ are defined, along with the concept of maximal Bell violations. After a study of these ideas in general, properties of these correlations in vacuum states of arbitrary quantum field models are studied. For example, it is shown that in the vacuum state the maximal Bell correlations decay exponentially with the product of the lowest mass and the spacelike separation of 𝒪1 and 𝒪2. This paper is also preparation for the proof in Paper II [S. J. Summers and R. Werner, J. Math. Phys. 28, 2448 (1987)] that Bell’s inequalities are maximally violated in the vacuum state.
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Citations
Cites
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250
Cited by
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062
Self-citationQuantum information and relativity theory
Peres, A., & Terno, D. R. (2004) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.93 · Cited by 699
Research on hidden variable theories: A review of recent progresses
GENOVESE, M. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.03.003 · Cited by 477
Quantum-enhanced measurements without entanglement
Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434
Holographic mutual information is monogamous
Hayden, P., Headrick, M., & Maloney, A. (2013) · Physical Review D · doi:10.1103/physrevd.87.046003 · Cited by 326
Metadata
- Authors
- Summers, S. J., & Werner, R.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1987-10-01
- Volume
- 28
- Issue
- 10
- Pages
- 2440-2447
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2053057740
- Cited by
- 235
- References
- 3
- FWCI
- 2.16
- Type
- journal article
- Language
- en
- Open access
- closed
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