Results 31 to 40 of about 215 (48)

Renormalization: a quasi-shuffle approach

, 2018
In recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decomposition of characters on the Hopf algebra of Feynman graphs, with values in a ...
A Connes, A Connes, A Murua, Alain Connes, C Brouder, D Kreimer, D Manchon, F Menous, F Menous, F Menous, F Menous, F Menous, F Patras, F Patras, H Figueroa, Jean Écalle, K Ebrahimi-Fard, K Ebrahimi-Fard, K Ebrahimi-Fard, K Ebrahimi-Fard, K Ebrahimi-Fard, L Guo, M Aguiar, M Hairer, ME Hoffman, ME Hoffman, ME Sweedler, P Cartier, RL Karandikar, S Majid   +29 more
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Learning from Julius' star, *, $\star$

, 2011
While collecting some personal memories about Julius Wess, I briefly describe some aspects of my recent work on many particle quantum mechanics and second quantization on noncommutative spaces obtained by twisting, and their connection to him.Comment ...
Drinfel'd V. G., Takhtadjan L. A.
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Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids [PDF]

, 2010
We show how to extend the construction of Tulczyjew triples to Lie algebroids via graded manifolds. We also provide a generalisation of triangular Lie bialgebroids as higher Poisson and Schouten structures on Lie algebroids.Comment: 28 pages.
Abraham, Akman, Alfaro, Andrew James Bruce, Antunes, Batalin, Batalin, Belavin, Bering, Bering, Brylinski, Cattaneo, de Azcárraga, de Azcárraga, Galvez-Carrillo, Ginzburg, Grabowski, Grabowski, Grabowski, Hörmander, Khudaverdian, Khudaverdian, Kosmann-Schwarzbach, Kosmann-Schwarzbach, Koszul, Lada, Lada, Mackenzie, Mackenzie, Mackenzie, Mehta, Pradines, Roytenberg, Roytenberg, Tulczyjew, Tulczyjew, Vaîntrob, Voronov, Voronov, Voronov, Voronov   +40 more
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$Q$-Manifolds and Mackenzie Theory [PDF]

, 2012
Double Lie algebroids were discovered by Kirill Mackenzie from the study of double Lie groupoids and were defined in terms of rather complicated conditions making use of duality theory for Lie algebroids and double vector bundles.
Voronov, Theodore Th.
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Free Braided Differential Calculus, Braided Binomial Theorem and the Braided Exponential Map

, 1993
Braided differential operators $\del^i$ are obtained by differentiating the addition law on the braided covector spaces introduced previously (such as the braided addition law on the quantum plane). These are affiliated to a Yang-Baxter matrix $R$.
Majid, Shahn
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kappa-Deformed Phase Space, Hopf Algebroid and Twisting [PDF]

, 2014
Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure.
Jurić, Tajron, Kovačević, Domagoj, Meljanac, Stjepan   +2 more
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Face algebras and unitarity of SU(N)_L-TQFT

, 1999
Using face algebras (i.e. algebras of L-operators of IRF models), we construct modular tensor categories with positive definite inner product, whose fusion rules and S-matrices are the same as (or slightly different from) those obtained by $U_q (\frak{sl}
Hayashi, Takahiro
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Quantum and Braided Linear Algebra

, 1992
Quantum matrices $A(R)$ are known for every $R$ matrix obeying the Quantum Yang-Baxter Equations. It is also known that these act on `vectors' given by the corresponding Zamalodchikov algebra.
Faddeev L. D., Gurevich D. I., S. Majid
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Quantisation of twistor theory by cocycle twist

, 2007
We present the main ingredients of twistor theory leading up to and including the Penrose-Ward transform in a coordinate algebra form which we can then `quantise' by means of a functorial cocycle twist.
A. Connes, A. Kapustin, C. Okonek, G. Landi, K.C. Hannabuss, L.J. Mason, M.F. Atiyah, M.G. Eastwood, N. Seiberg, N.A. Nekrasov, R. Penrose, R.J. Baston, R.S. Ward, R.S. Ward, S. J. Brain, S. Majid, S. Majid, S. Majid, S. Majid, S. Majid, W. Barth   +20 more
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More on the Subtraction Algorithm

, 1994
We go on in the program of investigating the removal of divergences of a generical quantum gauge field theory, in the context of the Batalin-Vilkovisky formalism.
't Hooft G, 't Hooft G, Anselmi D, Barnich G, Batalin I A, Batalin I A, Damiano Anselmi, Itzykson C, Joglekar S D, Lavrov P M   +9 more
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