Subject 
Quantum field theory.

Alt Name 
Fauser, Bertfried.


Tolksdorf, Jürgen.


Zeidler, Eberhard.

Description 
1 online resource (xix, 436 pages) : illustrations 

polychrome rdacc 
Bibliography Note 
Includes bibliographical references and index. 
Summary 
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'. 
Contents 
Constructive Use of Holographic Projections  Topos Theory and ‘NeoRealist’ Quantum Theory  A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications  A Comment on the InfraRed Problem in the AdS/CFT Correspondence  Some Steps Towards Noncommutative Mirror Symmetry on the Torus  Witten’s Volume Formula, Cohomological Pairings of Moduli Space 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 NonRenormalizable 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 SpaceTime to Minkowski Space: Basic Mechanisms, Methods and Perspectives  Towards a qDeformed Quantum Field Theory  Towards a qDeformed Supersymmetric Field Theory  L?Algebra Connections and Applications to String and ChernSimons nTransport. 
Note 
Print version record. 
ISBN 
9783764387365 

376438736X 

9783764387358 

3764387351 
OCLC # 
423395201 
Additional Format 
Print version: Quantum field theory. Basel : Birkhauser ; London : Springer [distributor], 2009 9783764387358 3764387351 (DLC) 2008932708 (OCoLC)212327733 
