The DOI matches its Crossref record; 86 of the 86 references it cites were found in a registry or an index.
Noncommutative Geometry, Quantum Fields and Motives
Abstract
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book dea
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Cites
Optical Coherence and Quantum Optics
Mandel, L., & Wolf, E. (1995) · doi:10.1017/cbo9781139644105 · Cited by 8,356
CP-Violation in the Renormalizable Theory of Weak Interaction
Kobayashi, M., & Maskawa, T. (1973) · Progress of Theoretical Physics · doi:10.1143/ptp.49.652 · Cited by 6,662
Wald, R. M. (1984) · Cited by 6,274
Unitary Symmetry and Leptonic Decays
Cabibbo, N. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.531 · Cited by 5,003
Regularization and renormalization of gauge fields
't Hooft, G., & Veltman, M. (1972) · Nuclear Physics B · doi:10.1016/0550-3213(72)90279-9 · Cited by 4,593
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,522
Axial vector vertex in spinor electrodynamics
Adler, S. L. (1969) · Physical Review · doi:10.1103/physrev.177.2426 · Cited by 4,275
Hartle, J. B., & Hawking, S. W. (1983) · Physical Review D · doi:10.1103/physrevd.28.2960 · Cited by 3,027
Operator Algebras and Quantum Statistical Mechanics
Bratteli, O., & Robinson, D. W. (1997) · Springer eBooks · doi:10.1007/978-3-662-03444-6 · Cited by 2,985
Renormalization of higher-derivative quantum gravity
Stelle, K. S. (1977) · Physical Review D · doi:10.1103/physrevd.16.953 · Cited by 2,563
Metadata
- Authors
- Connes, A., & Marcolli, M.
- Venue
- Colloquium Publications
- Publisher
- American Mathematical Society
- Published
- 2007-12-20
- ISSN
- 0065-9258 (ISSN-L)
- OpenAlex
- W647960632
- Cited by
- 368
- References
- 86
- FWCI
- 4.40
- Type
- book
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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