The DOI matches its Crossref record; 49 of the 49 references it cites were found in a registry or an index.
Grassmannian Geometry of Scattering Amplitudes
Abstract
Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.
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Citations
Cites
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
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Deformation Quantization of Poisson Manifolds
Kontsevich, M. (2003) · Letters in Mathematical Physics · doi:10.1023/b:math.0000027508.00421.bf · Cited by 2,296
Electric-magnetic duality in supersymmetric non-Abelian gauge theories
Seiberg, N. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(94)00023-8 · Cited by 1,783
Partition function of the Eight-Vertex lattice model
Baxter, R. J. (1972) · Annals of Physics · doi:10.1016/0003-4916(72)90335-1 · Cited by 1,706
Liouville Correlation Functions from Four-Dimensional Gauge Theories
Alday, L. F., Gaiotto, D., & Tachikawa, Y. (2010) · Letters in Mathematical Physics · doi:10.1007/s11005-010-0369-5 · Cited by 1,501
Localization of gauge theory on a four-sphere and supersymmetric Wilson loopsPreprint
Pestun, V. (2007) · Cited by 1,074
Metadata
- Authors
- Arkani-Hamed, N., Bourjaily, J., Cachazo, F., Goncharov, A., Postnikov, A., & Trnka, J.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2016-04-30
- OpenAlex
- W2258126206
- Cited by
- 432
- References
- 49
- FWCI
- 26.07
- Type
- book
- Language
- en
- Open access
- closed
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- Arkani-Hamed, N., Bourjaily, J., Cachazo, F., Goncharov, A., Postnikov, A., & Trnka, J. (2016). Grassmannian Geometry of Scattering Amplitudes. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9781316091548
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