Quantum Field Theory and Noncommutative Geometry
Quantum Field Theory and Noncommutative Geometry [electronic resource] /
edited by Ursula Carow-Watamura, Yoshiaki Maeda, Satoshi Watamura.
- X, 298 p. online resource.
- Lecture Notes in Physics, 662 0075-8450 ; .
- Lecture Notes in Physics, 662 .
Noncommutative Geometry -- Poisson Geometry and Deformation Quantization -- Applications in Physics -- Topological Quantum Field Theory.
This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.
9783540315261
10.1007/b102320 doi
Mathematical physics.
Topological Groups.
Algebraic topology.
Global differential geometry.
Quantum theory.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Algebraic Topology.
Differential Geometry.
Elementary Particles, Quantum Field Theory.
QC5.53
530.15
Noncommutative Geometry -- Poisson Geometry and Deformation Quantization -- Applications in Physics -- Topological Quantum Field Theory.
This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.
9783540315261
10.1007/b102320 doi
Mathematical physics.
Topological Groups.
Algebraic topology.
Global differential geometry.
Quantum theory.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Algebraic Topology.
Differential Geometry.
Elementary Particles, Quantum Field Theory.
QC5.53
530.15