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What Is a Local Physical Theory?

  • Gábor Hofer-SzabóEmail author
  • Péter Vecsernyés
Chapter
Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)

Abstract

In this Chapter we introduce the mathematical formalism of a local physical theory (LPT). Briefly, a LPT is an association of local operator algebras to spacetime regions subjected to the requirements of isotony, microcausality and covariance, all borrowed from algebraic quantum field theory. Depending on whether the local algebras are commutative or noncommutative, we call a LPT a local classical theory (LCT) or a local quantum theory (LQT). At the end of the chapter we motivate the application of von Neumann algebras in the LPT framework.

Keywords

Local physical theory von Neumann algebra 

References

  1. R. Brunetti, K. Fredenhagen, Quantum field theory on curved backgrounds, in Quantum Field Theory on Curved Spacetimes, Concepts and Mathematical Foundations, Lecture Notes in Physics, vol. 786, ed. by C. Bär, K. Fredenhagen (Springer, Berlin, 2009)Google Scholar
  2. R. Haag, Local quantum physics (Springer, Heidelberg, 1992)CrossRefzbMATHGoogle Scholar
  3. F. Pfäffle, Lorentzian manifolds, in Quantum Field Theory on Curved Spacetimes, Concepts and Mathematical Foundations, Lecture Notes in Physics, vol. 786, ed. by C. Bär, K. Fredenhagen (Springer, Berlin, 2009)Google Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Institute of PhilosophyResearch Centre for the HumanitiesBudapestHungary
  2. 2.Theoretical PhysicsWigner Research Centre for PhysicsBudapestHungary

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