Locality and Localization

Locality > s.a. Reference Frame; Ultralocality.
* Idea: Measuring one particle cannot affect the properties of another particle faster than the speed of light.
* Remark: The only strictly local theories are classical special-relativistic ones.
@ General references: Mashhoon PLA(90); d'Espagnat PLA(92); Hunter et al ed-98; Mashhoon gq/03-in [limitations]; Gisin qp/05-in [history].
@ Uses of non-locality: Hoyle & Narlikar PRS(93) [infinities in field theory]; Bennett et al ht/95.
> Mathematical notions: see distributions.

Localization > s.a. localization in quantum mechanics; localization in quantum field theory.
@ In classical mechanics: Grigore JPA(90); Karpov et al qp/00 [Hegerfeldt theorem for classical waves]; Campbell et al PT(04)jan [non-linearity and discreteness].
@ In classical field theories: Calcagni et al PLB(08)-a0712.

In Classical Physics
* Formal role: It is important in special relativity (finite speed of propagation), but even more in general relativity (spacetime and laws are locally Minkowskian – see the principle of equivalence – and there is no distant parallelism), and similarly for gauge theories.
@ Locality in field theory: Carati & Galgani NCB(99), Frisch BJPS(02) [non-locality in classical electrodynamics]; > s.a. types of field theories.
@ Locality in general relativity: Mashhoon in(01)gq/00, gq/01-in; Chiao gq/03-in [vs quantum mechanics].
@ Theories and topics: Ohira PhyA(07) [non-locality in time].
> Non-local theories: see causality [action at a distance]; gravitation; higher-order lagrangians; types of field theories.
> Related topics: see huygens principle; wave phenomena.

In Quantum Physics > see locality in quantum mechanics and in quantum field theory.

Online Resources > see Cornell Instrinsic Localized Modes site.

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