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- Topological Quantum Field Theories - Topological quantum field theories can be used as a powerful tool to probe geometry and topology in low dimensions. Chern-Simons theories, which are examples of such field theories, provide a field theoretic framework for the study of knots and links in three dimensions.
- Topological Quantum Field Theory, a Progress Report - A brief introduction to Topological Quantum Field Theory as well as a description of recent progress made in the field is presented. I concentrate mainly on the connection between Chern-Simons gauge theory and Vassiliev invariants, and Donaldson theory and its generalizations and Seiberg-Witten invariants. Emphasis is made on the usefulness of these relations to obtain explicit expressions for topological invariants, and on the universal structure underlying both systems.
- New Results in Topological Field Theory and Abelian Gauge Theory - These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory.
- Research Group on Topological Quantum Field Theory and Knots - Research Group on Topological Quantum Field Theories in any dimension and their relation to topological invariants. Particular attention is given to BF theories and knots in any dimension.
- Math and Physics - A brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory.
- Ahmed, Diaa A: Quantum Field Theories: Quantum Topology - Includes links to research papers, quotations on the development of the quantum theory, brief notes on the field and related links.
- Conformal Field Theories: From Old to New - A short review of recent work, including the general problem of constructing the actions of new conformal field theories from old conformal field theories.[Postscript]
- International Journal of Geometric Methods in Modern Physics - (World Scientific) Short communications, research and review articles devoted to the application of geometric methods to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum mechanics, semi-classical approximations in quantum theory, quantum thermodynamics and statistical physics, quantum computation and control theory. Forthcoming papers.
- Chiral Perturbation Theory - The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized
- The search for a quantum field theory - Investigations undertaken to build a consistent quantum theory of fields
Wikipedia Articles
- Topological quantum field theory - A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants. In condensed matter physics, topological quantum field theories are the
- Noncommutative quantum field theory - In physics, noncommutative quantum field theory (or quantum field theory on noncommutative space-time) is a branch of quantum field theory in which the spatial coordinates1 do not commute. One (commonly studied) version of such theories has the "canonical" commutation
- Local quantum field theory - The Haag-Kastler axiomatic framework for quantum field theory, named after Rudolf Haag and Daniel Kastler, is an application to local quantum physics of C*-algebra theory. It is therefore also known as Algebraic Quantum Field Theory (AQFT).
- Qubit Field Theory - A Qubit Field Theory is a quantum field theory in which the canonical commutation relations, involved in the quantisation of pairs of observables, are relaxed. Specifically it is a quantum field theory in which, unlike most other quantum field theories, the pair of observables is not required to always commute.
- Quantum field theory in curved spacetime - Quantum field theory in curved spacetimes is an extension of standard quantum field theory to curved spacetimes. A general prediction of this theory is that particles can be created in strong gravitational fields.