Towards a q-Deformed Quantum Field Theory

被引：0

作者：

Wachter, Hartmut ^{[1
]}

机构：

[1] Max Planck Inst Math Sci, DE-04103 Leipzig, Germany

来源：

QUANTUM FIELD THEORY: COMPETITIVE MODELS | 2009年

关键词：

q-deformation; quantum groups; quantum spaces; q-deformed free Schrodinger particle; q-calculus; NONCOMMUTATIVE SPACES; LATTICE STRUCTURE; Q-EXPONENTIALS; Q-INTEGRATION; PHASE-SPACE; FOURIER;

D O I：

10.1007/978-3-7643-8736-5_15

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The formalism of q-deformation seems to enable the formulation of physical theories on discrete spacetime structures that do not, suffer from the absence of well-known spacetime symmetrices. In this manner q-deformation can lead to a new regularization mechanism in quantum field theory and requires a substantial revision of the mathematical formalism quantum theory is based on. The article gives a review of the motivation for q-deformation in physics, describes the main ideas of the new formalism and outlines the Current status of its application to quantum theory.

引用

页码：261 / 283

页数：23

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