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New Releases. Quantum Field Theory and Topology. Description In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics.


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The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to quantum field theory.

Presently the only examples of local quantum field algebras that we know how to construct rigorously apart from some two-dimensional models are the operator algebras of free linear quantum fields propagating on a smooth, globally hyperbolic spacetime. One interesting offshoot of this generalization is an algebraic framework for linear quantum field theory on non-globally-hyperbolic spacetimes e. This site uses cookies.

Differential Topology and Quantum Field Theory - Charles Nash - Google книги

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  • Lectures on Field Theory and Topology.
  • Topological quantum field theory.
  • ISBN 13: 9780125140751.
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Jan 27, Lulu marked it as to-read Shelves: john-baez-physics. Geometry and topology for physicists.

Topology of the space of quantum field theories (PDF)

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