Field theory involving topological effects in physics
In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.
Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for mathematical work related to topological field theory.
In condensed matter physics, topological quantum field theories are the low-energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
and 25 Related for: Topological quantum field theory information
In gauge theory and mathematical physics, a topologicalquantumfieldtheory (or topologicalfieldtheory or TQFT) is a quantumfieldtheory which computes...
theoretical physics, quantumfieldtheory (QFT) is a theoretical framework that combines classical fieldtheory, special relativity, and quantum mechanics.: xi ...
idea of topologicalquantumfieldtheory. There are two main versions of topological string theory: the topological A-model and the topological B-model...
to fault-tolerant quantum computation. Topological insulators and topological superconductors (beyond 1D) do not have topological order as defined above...
theoretical physicist known for his contributions to String theory, Topologicalquantumfieldtheory, and various areas of mathematics. He is a professor emeritus...
values, due to topological considerations. Most commonly, topologicalquantum numbers are topological invariants associated with topological defects or soliton-type...
physics, a topological soliton or a topological defect is a solution of a system of partial differential equations or of a quantumfieldtheory homotopically...
dependence. Loop quantum gravity is the fruit of an effort to formulate a background-independent quantumtheory. Topologicalquantumfieldtheory provided an...
can be applied directly to its quantum equivalent.[citation needed] The correlation functions of a statistical fieldtheory are called Schwinger functions...
topological order, Wang has also worked in the theory of three dimensional topologicalquantumfieldtheory. Here he is most well known introducing the Walker-Wang...
A topologicalquantum computer is a theoretical quantum computer proposed by Russian-American physicist Alexei Kitaev in 1997. It employs quasiparticles...
state. So the topological entanglement entropy links topological order with pattern of long range quantum entanglements. Given a topologically ordered state...
intrinsic topological insulator behavior in actual experiments. Topological order Topologicalquantum computer TopologicalquantumfieldtheoryTopological quantum...
quantum entanglement. Topologicalquantumfieldtheory Reshetikhin–Turaev invariant Kauffman, Louis H.; Baadhio, Randy A. (1993). Quantum Topology. River Edge...
due to connections to topologicalquantumfieldtheory. A finite-dimensional, unital, associative algebra A defined over a field k is said to be a Frobenius...
This is the simplest example of a topologicalquantumfieldtheory, where the path integral computes topological invariants. This also served as a hint...
multi-body physics. A topologicalquantumfieldtheory (or topologicalfieldtheory or TQFT) is a quantumfieldtheory that computes topological invariants. Although...
and James Dolan, concerns the classification of extended topologicalquantumfieldtheories (TQFTs). In 2008, Jacob Lurie outlined a proof of the cobordism...
application in the quantumfieldtheory of the weak force, and its unification with electromagnetism in the electroweak theory. Gauge theories became even more...
models of statistical mechanics and topologicalquantumfieldtheory such as the Turaeev–Viro model of 3D quantum gravity, and also to the Regge calculus...
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