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What is the correct framework for Quantum Field Theories?
What is the correct framework for Quantum Field Theories?

... experimentally accessible, is described by a quantum field theory called the Standard Model, established theoretically in the 1970s. Its final piece, the Higgs boson, was confirmed experimentally in 2012, and both high energy theorists and experimentalists are looking for physics beyond the Standard Mo ...
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Topological quantum field theory

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 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.
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