Deformation quantization of covariant fields
@article{Dito2002DeformationQO, title={Deformation quantization of covariant fields}, author={Giuseppe Dito}, journal={arXiv: Quantum Algebra}, year={2002} }
After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantization approach can be used to solve or at least give a better understanding of their quantization.
9 Citations
STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION
- Psychology
- 2005
In this review we discuss various aspects of representation theory in deformation quantization starting with a detailed introduction to the concepts of states as positive functionals and the GNS…
Quantization: Deformation and/or Functor?
- Mathematics
- 2005
After a short presentation of the difference in motivation between the Berezin and deformation quantization approaches, we start with a reminder of Berezin’s view of quantization as a functor…
A ug 2 00 4 States and representations in deformation quantization
- Mathematics
- 2008
In this review we discuss various aspects of representation theory in deformation quantization starting with a detailed introduction to the concepts of states as positive functionals and the GNS…
Some reflections on mathematicians’ views of quantization
- Mathematics
- 2007
We start with a short presentation of the difference in attitude between mathematicians and physicists even in their treatment of physical reality, and look at the paradigm of quantization as an…
Deformation Quantization: From Quantum Mechanics to Quantum Field Theory
- Physics
- 2006
The aim of this paper is to give a basic overview of Deformation Quantization (DQ) to physicists. A summary is given here of some of the key developments over the past thirty years in the context of…
Convergence of star products: From examples to a general framework
- MathematicsEMS Surveys in Mathematical Sciences
- 2019
It is argued that one of the most important remaining problems is the question of convergence, and different approaches found in the literature so far are discussed.
O ct 2 00 6 Deformation Quantization : From Quantum Mechanics to Quantum Field Theory
- Physics
- 2008
The aim of this paper is to give a basic overview of Deformation Quantization (DQ) to physicists. A summary is given here of some of the key developments over the past thirty years in the context of…
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