Nonlinear Coupling of Quantum Theory and Classical Gravity
Feb, 197913 pages
Published in:
- J.Phys.A 13 (1980) 141
Report number:
- ICTP/78-79/7
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Abstract: (IOP)
Discusses the possibility that the non-linear evolution proposed earlier for a relativistic quantum field theory may be related to its coupling to a classical gravitational field. Formally, in the Schrodinger picture, it is shown how both the Schrodinger equation and Einstein's equations (with the expectation value of the energy-momentum tensor on the right) can be derived from a variational principle. This yields a non-linear quantum evolution. Other terms can be added to the action integral to incorporate explicit nonlinearities of the type discussed previously. The authors discuss briefly the possibility of giving a meaning to the resulting equation in a Heisenberg or interaction-like picture.- FIELD THEORY: NONLINEAR
- FIELD THEORY: CLASSICAL
- GRAVITATION
- QUANTUM MECHANICS: SCHROEDINGER EQUATION
- TENSOR: ENERGY-MOMENTUM
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