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Cited by 1,353

The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.

The quantum structure of spacetime at the Planck scale and quantum fields

Open access
Doplicher, Sergio, Fredenhagen, Klaus, Roberts, John E.·1995·Communications in Mathematical Physics
DOI 10.1007/bf02104515
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Abstract

We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations.We outline the definition of free fields and interactions over QST and take the first steps to adapting the usual perturbation theory. The quantum nature of the underlying spacetime replaces a local interaction by a specific nonlocal effective interaction in the ordinary Minkowski space. A detailed study of interacting QFT and of the smoothing of ultraviolet divergences is deferred to a subsequent paper.In the classical limit where the Planck length goes to zero, our Quantum Spacetime reduces to the ordinary Minkowski space times a two component space whose components are homeomorphic to the tangent bundleTS2 of the 2-sphere. The relations with Conne's theory of the standard model will be studied elsewhere.

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Metadata

Authors
Doplicher, S., Fredenhagen, K., & Roberts, J. E.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
1995-08
Volume
172
Issue
1
Pages
187-220
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/bf02104515
OpenAlex
W2594363316
Cited by
1,353
References
18
FWCI
12.89
Type
journal article
Language
en
Open access
green

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