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The causal action in Minkowski space and surface layer integrals. (English) Zbl 1458.83003

Summary: The Lagrangian of the causal action principle is computed in Minkowski space for Dirac wave functions interacting with classical electromagnetism and linearized gravity in the limiting case when the ultraviolet cutoff is removed. Various surface layer integrals are computed in this limiting case.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83A05 Special relativity
35Q75 PDEs in connection with relativity and gravitational theory
81T27 Continuum limits in quantum field theory
78A25 Electromagnetic theory (general)
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
49S05 Variational principles of physics
53Z05 Applications of differential geometry to physics

References:

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