Locality
and Localization| 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; More generally, spacelike separated events cannot causally influence
each other.
* 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 in(03)gq
[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.
Locality 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.
@ In field theory: Carati & Galgani NCB(99),
Frisch BJPS(02)
[non-locality in classical electrodynamics]; > s.a. types
of field theories.
@ 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.
Locality in Quantum Physics > see locality in quantum mechanics and in quantum field theory.
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]; > s.a. random
walk.
@ In classical field theories: Calcagni et al PLB(08)-a0712.
Online Resources > see Cornell Instrinsic Localized Modes site.
main page – abbreviations – journals – comments – other
sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 25
apr
2009