Quantum Field Theory

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By: Bertfried Fauser (Editor), JÃ¼rgen Tolksdorf (Editor), Eberhard Zeidler (Editor)

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Hardcover | 10 December 2008

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Hardcover
460 Pages

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23.5 x 16.51 x 2.54

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For more than 70 years, quantum field theory (QFT) can be seen as a driving force in the development of theoretical physics. Equally fascinating is the fruitful impact which QFT had in rather remote areas of mathematics. The present book features some of the different approaches, different physically viewpoints and techniques used to make the notion of quantum field theory more precise. For example, the present book contains a discussion including general considerations, stochastic methods, deformation theory and the holographic AdS/CFT correspondence. It also contains a discussion of more recent developments like the use of category theory and topos theoretic methods to describe QFT. The present volume emerged from the 3rd 'Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: 'To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics'.

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Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematical Physics

Preface
Constructive Use of Holographic Projections
Topos Theory and Neo-Realist Quantum Theory
A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications
A Comment on the Infra-Red Problem in the AdS/CFT Correspondence
Some Steps Towards Noncommutative Mirror Symmetry on the Torus
Wittens Volume Formula, Cohomological Pairings of Moduli Spaces of Flat Connections and Applications of Multiple Zeta Functions
Noncommutative Field Theories from a Deformation Point of View
Renormalization of Gauge Fields using Hopf Algebras
Not so Non-Renormalizable Gravity
The Structure of Green Functions in Quantum Field Theory with a General State
The Quantum Action Principle in the Framework of Causal Perturbation Theory
Plane Wave Geometry and Quantum Physics
Canonical Quantum Gravity and Effective Theory
From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods, and Perspectives
Towards a q-Deformed Quantum Field Theory
Towards a q -Deformed Supersymmetric Field Theory
L1-algebra Connections and Applications to String- and Chern-Simons n-Transport
Index
Table of Contents provided by Publisher. All Rights Reserved.

Quantum Field Theory

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Hardcover

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