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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
• 22
  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
• 11
  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