La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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81-XX Quantum theory

• 81-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 81-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 81-02 Research exposition (monographs, survey articles)
• 81-03 Historical (must also be assigned at least one classification number from Section 01)
• 81-04 Explicit machine computation and programs (not the theory of computation or programming)
• 81-05 Experimental work
• 81-06 Proceedings, conferences, collections, etc.
• 81-08 Computational methods
• 81-99 Quantum mechanics (not classified at a more specific level)
• 81Pxx Axiomatics, foundations, philosophy
• 81Qxx General mathematical topics and methods in quantum theory
• 81Rxx Groups and algebras in quantum theory
• 81Sxx General quantum mechanics and problems of quantization
• 81Txx 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] [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 81T70, 58D29
  • 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] [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 58B30, 81V22, 81T13
  • 81T80 Simulation and numerical modeling
  • 81T99 None of the above, but in this section
• 81Uxx Scattering theory [See also 34A55, 34L25, 34L40, 35P25, 47A40]
• 81Vxx Applications to specific physical systems

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