Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure.
The book is arranged in four sections, devoted to realizing the universal principle force equals curvature:
Part I: The Euclidean Manifold as a Paradigm
Part II: Ariadne's Thread in Gauge Theory
Part III: Einstein's Theory of Special Relativity
Part IV: Ariadne's Thread in Cohomology
For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum.
Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).
Discover the life, architecture, and philosophy of Eberhard Heinrich Zeidler, starting with his early life, his studies at the Bauhaus, and his reasons for leaving Germany. In his early days in Peterborough, Ontario, he became a partner of Blackwell and Craig and created homes, schools, hospitals, and the Peterborough Memorial Centre.
After moving to Toronto, Zeidler designed the McMaster Health Sciences Centre, which started a new direction in healthcare buildings and attracted thousands of visiting architects. Many hospitals of this type followed, and architects all over the world appropriated Zeidler’s philosophy. His design of the Eaton Centre succeeded in stimulating Toronto’s dying downtown, bringing new life to it.
Zeidler married Jane Abbott, lived on a farm, and had three children, two girls and one boy. A third daughter was born, and he renovated an old house in one of Toronto’s ravines to raise his family. Projects all over the world followed, including ones in England, Germany, Calgary, Vancouver, Victoria, West Palm Beach, Beijing, Shanghai, and Dubai.
The present book features some of the different approaches, different physical viewpoints and techniques used to make the notion of quantum field theory more precise. This concerns algebraic, analytic, geometric, and stochastic aspects. For example, there will be discussed deformation theory, and the holographic AdS/CFT correspondence. The book also contains more recent developments like the use of category theory and topos theoretic methods to describe QFT. This 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 to the volume are peer reviewed and 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'.