Mathematical Sciences Classification System

81Txx - Quantum field theory; related classical field theories
[See also 70Sxx]

  • 3
    81T05
    Axiomatic quantum field theory; operator algebras
  • 81T08
    Constructive quantum field theory
  • 81T10
    Model quantum field theories
  • 21
    81T13
    Yang-Mills and other gauge theories [See also 53C07, 58E15]
  • 6
    81T15
    Perturbative methods of renormalization
  • 2
    81T16
    Nonperturbative methods of renormalization
  • 6
    81T17
    Renormalization group methods
  • 5
    81T18
    Feynman diagrams
  • 7
    81T20
    Quantum field theory on curved space backgrounds
  • 81T25
    Quantum field theory on lattices
  • 81T27
    Continuum limits
  • 81T28
    Thermal quantum field theory [See also 82B30]
  • 24
    81T30
    String and superstring theories; other extended objects (e.g., branes) [See also 83E30]
  • 9
    81T40
    Two-dimensional field theories, conformal field theories, etc.
  • 13
    81T45
    Topological field theories [See also 57R56, 58Dxx]
  • 1
    81T50
    Anomalies
  • 81T55
    Casimir effect
  • 10
    81T60
    Supersymmetric field theories
  • 2
    81T70
    Quantization in field theory; cohomological methods [See also 58D29]
  • 5
    81T75
    Noncommutative geometry methods [See also 46L85, 46L87, 58B34]
  • 81T80
    Simulation and numerical modeling
  • 1
    81T99
    None of the above, but in this section

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