Classical and quantum effective theories
arXiv:1407.6526 · doi:10.1103/PhysRevD.90.065010
Abstract
A generalization of the action principle of classical mechanics, motivated by the Closed Time Path (CTP) scheme of quantum field theory, is presented to deal with initial condition problems and dissipative forces. The similarities of the classical and the quantum cases are underlined. In particular, effective interactions which describe classical dissipative forces represent the system-environment entanglement. The relation between the traditional effective theories and their CTP extension is briefly discussed and few qualitative examples are mentioned.
38 pages, 3 figures, last paragraph added, typos fixed, to appear in Phys. Rev. D
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- Quantum renormalization group
- Indications of a non-trivial vacuum in the effective theory of perfect fluids
- Boost invariant regulator for field theories
- Stability and causality of multi-local theories
- Instantaneous and dynamical decoherence
- Quantization of nonlinear non-Hamiltonian systems
- Time scale of stationary decoherence
- Spontaneous breakdown of the time reversal symmetry