Results 31 to 40 of about 10,350 (137)

Deformation Quantization: Twenty Years After

, 1998
We first review the historical developments, both in physics and in mathematics, that preceded (and in some sense provided the background of) deformation quantization.
Sternheimer, Daniel
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Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces [PDF]

, 2007
We realize quantized anti de Sitter space black holes, building Connes spectral triples, similar to those used for quantized spheres but based on Universal Deformation Quantization Formulas (UDF) obtained from an oscillatory integral kernel on an ...
Bieliavsky, Pierre, Claessens, Laurent, Sternheimer, Daniel, Voglaire, Yannick   +3 more
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Quantization of Nonstandard Hamiltonian Systems [PDF]

, 1995
The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of the quantum ...
Alejandro Corichi, Arnold V I, Ashtekar A, Ashtekar A, Ashtekar A, Bialynicki-Birula I, Brouzet R, Brylinski R, Corben H C, Corben H C, Corichi A, Dyson F J, Gotay M J, Hojman S A, Hojman S A, Hojman S A, Hughston L P, Hughston L P, Isham C J, Kibble T W B, Kibble T W B, Kodaira K, Marsden J E, Michael P Ryan, Mielnik B, Wald R M, Woodhouse N J M   +26 more
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Large N limit of SO(N) gauge theory of fermions and bosons [PDF]

, 2002
In this paper we study the large N_c limit of SO(N_c) gauge theory coupled to a Majorana field and a real scalar field in 1+1 dimensions extending ideas of Rajeev. We show that the phase space of the resulting classical theory of bilinears, which are the
Aoki K., Aoki K., Borthwick D., Brodsky S., Cavicchi M., Cavicchi M., Ekstrand C., El-Gradechi A. M., El-Gradechi A. M., Erdal Toprak, Gracia-Bondı́a J., Kutasov D., Langmann E., O. Teoman Turgut, Schmitt T., Schmitt T., Shei S. S., Tomaras T. N., Turgut O. T.   +18 more
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A Note on Derived Geometric Interpretation of Classical Field Theories

, 2019
In this note, we would like to provide a conceptional introduction to the interaction between derived geometry and physics based on the formalism that has been heavily studied by Kevin Costello. Main motivations of our current attempt are as follows: (i)
Berktav, Kadri İlker
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Quantum Field Theory on Curved Noncommutative Spacetimes [PDF]

, 2011
We summarize our recently proposed approach to quantum field theory on noncommutative curved spacetimes. We make use of the Drinfel'd twist deformed differential geometry of Julius Wess and his group in order to define an action functional for a real ...
Schenkel, Alexander
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Symplectic Microgeometry III: Monoids

, 2011
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgroupoids and lagrangian submicrogroupoids (as morphisms), and the category of monoids and monoid morphisms in the microsymplectic category are equivalent ...
Cattaneo, Alberto S., Dherin, Benoit, Weinstein, Alan   +2 more
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Large N limit of SO(N) scalar gauge theory [PDF]

, 2002
In this paper we study the large $N_c$ limit of SO(N_c) gauge theory coupled to a real scalar field following ideas of Rajeev. We see that the phase space of this resulting classical theory is Sp_1(H)/U(H_+) which is the analog of the Siegel disc in ...
Aoki K., Aoki K., Brodsky S., Cavicchi M., Erdal Toprak, Kutasov D., Neeb K-H., O. Teoman Turgut, Shei S. S., Tomaras T. N.   +9 more
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Non-Abelian Conversion and Quantization of Non-scalar Second-Class Constraints

, 2005
We propose a general method for deformation quantization of any second-class constrained system on a symplectic manifold. The constraints determining an arbitrary constraint surface are in general defined only locally and can be components of a section ...
Batalin I., Batalin I. A., Batalin I. A., Cattaneo A. S., Deriglazov A. A., Fedosov B., Grigoriev M. A., I. Batalin, Lyakhovich S. L., M. Grigoriev, Rothstein M., S. Lyakhovich   +11 more
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Noncommutative associative superproduct for general supersymplectic forms

, 2008
We define a noncommutative and nonanticommutative associative product for general supersymplectic forms, allowing the explicit treatment of non(anti)commutative field theories from general nonconstant string backgrounds like a graviphoton field.
De Castro, A., Martin, I., Quevedo, L., Restuccia, A.   +3 more
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