• Corpus ID: 15650633

Moyal-Weyl Star-products as Quasiconformal Mappings

@article{Ohsaku2006MoyalWeylSA,
  title={Moyal-Weyl Star-products as Quasiconformal Mappings},
  author={Tadafumi Ohsaku},
  journal={arXiv: Mathematical Physics},
  year={2006}
}
  • Tadafumi Ohsaku
  • Published 14 October 2006
  • Mathematics
  • arXiv: Mathematical Physics
The relation between the Moyal-Weyl deformation quantization and quasiconformal mappings of Riemann surfaces of complex analysis are shown by several examples. 
View PDF on arXiv
4 Citations
Methods Citations
1

4 Citations

A Manifestation Toward the Nambu-Goldstone Geometry

Various geometric aspects of the Nambu-Goldstone ( NG ) type symmetry breakings ( normal, generalized, and anomalous NG theorems ) are summarized, and their relations are discussed. By the viewpoint…

2 Geometric Nature of the NG-type Symme

Various geometric aspects of the Nambu-Goldstone ( NG ) type symmetry breakings ( normal, generalized, and anomalous NG theorems ) are summarized, and their relations are discussed. By the viewpoint…

The Anomalous Nambu-Goldstone Theorem in Relativistic/Nonrelativistic Quantum Field Theory

The anomalous Nambu-Goldstone (NG) theorem which is found as a violation of counting law of the number of NG bosons of the normal NG theorem in nonrelativistic and Lorentz-symmetry-violated…

Dynamical Mass Generations and Collective Excitations in the (Supersymmetric-)Nambu-Jona-Lasinio Model and a Gauge Theory with Left-Right-Asymmetric Majorana Mass Terms

The structure of effective potential surface of the Nambu$-$Jona-Lasinio (NJL) model with right-left asymmetric Majorana mass terms (corresponds to the single-flavor type-II seesaw situation of…

References

SHOWING 1-10 OF 15 REFERENCES

Algebra of Noncommutative Riemann Surfaces

We examine several algebraic properties of the noncommutive $z$-plane and Riemann surfaces. The starting point of our investigation is a two-dimensional noncommutative field theory, and the framework…

Operads and Motives in Deformation Quantization

The algebraic world of associative algebras has many deep connections with the geometric world of two-dimensional surfaces. Recently, D. Tamarkin discovered that the operad of chains of the little…

A Path Integral Approach¶to the Kontsevich Quantization Formula

Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path…

Topological strings on noncommutative manifolds

We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkahler X…

On Deformation Theory and Quantization

Deformation theory requires solving Maurer-Cartan equation (MCE) associated to an DGLA (L-infinity algebra). The universal solution of [HS] is obtained iteratively, as a fixed point of a contraction,…

Deformation Quantization of Poisson Manifolds

I prove that every finite-dimensional Poisson manifold X admits a canonical deformation quantization. Informally, it means that the set of equivalence classes of associative algebras close to the…

General concept of quantization

The general definition of quantization is proposed. As an example two classical systems are considered. For the first of them the phase space is a Lobachevskii plane, for the second one the…

String theory and noncommutative geometry

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally…

Complex manifolds and deformation of complex structures

Our solutions was introduced using a want to work as a complete on the internet digital library that provides use of great number of PDF file e-book assortment. You could find many different types of…

Noncommutative Field Theories and (Super)String Field Theories

In this lecture notes we explain and discuss some ideas concerning noncommutative geometry in general, as well as noncommutative field theories and string field theories. We consider noncommutative…