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81Txx

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Quantum field theory; related classical field theories

[See also 70Sxx]

  • 81T05 Axiomatic quantum field theory; operator algebras
  • 81T08 Constructive quantum field theory
  • 81T10 Model quantum field theories
  • 81T13 Yang-Mills and other gauge theories [See also 53C07, 58E15]
  • 81T15 Perturbative methods of renormalization
  • 81T16 Nonperturbative methods of renormalization
  • 81T17 Renormalization group methods
  • 81T18 Feynman diagrams
  • 81T20 Quantum field theory on curved space backgrounds
  • 81T25 Quantum field theory on lattices
  • 81T27 Continuum limits
  • 81T30 String and superstring theories; other extended objects (e.g., branes) [See also 83E30]
  • 81T40 Two-dimensional field theories, conformal field theories, etc.
  • 81T45 Topological field theories [See also 57R56, 58Dxx]
  • 81T50 Anomalies
  • 81T60 Supersymmetric field theories
  • 81T70 Quantization in field theory; cohomological methods [See also 58D29]
  • 81T75 Noncommutative geometry methods [See also 46L85, 46L87, 58B34]
  • 81T80 Simulation and numerical modeling
  • 81T99 None of the above, but in this section