In General > s.a. locality; observables;
quantum field theory; quantum
particles and states.
* Physics in a bounded region:
Cannot be discussed in terms of subspaces of the full Hilbert space
,
because fields there generate
when
acting on the vacuum (Reeh-Sleider theorem); Can use local algebras of
operators.
* Particles:
A sharp localization is impossible in local quantum field theory; One often
sees the Compton wavelength used as limit for localizability, but its spatial
probability
density
can be
much narrower.
* Non-local theories:
For example, a non-local version of QED; Observables in quantum gravity have
to be non-local; > s.a. types
of quantum field theories.
Specific Theories
@ Quantum gravity, non-locality: Ahluwalia PLB(94);
Prugovecki FP(96)gq;
Giddings PRD(06)ht [and
strings], PRD(06)ht [argument
from black hole physics]; Markopoulou & Smolin CQG(07)gq [lqg
states]; Sorkin gq/07-in
[at scales larger than lP]; Smrz NCB(06);
Arzano et al a0806 [and
hidden entanglement, unitarity]; > s.a. non-commutative
geometry.
@ Quantum gravity, recovering locality: Hardy a0804-in
[formalism locality].
@ Other theories: Buchholz & Fredenhagen LNP(82)
[gauge theory, and particle states]; Valentini in(90) [QED}; Moussa & Baseia PLA(98)
[single particle in cavity QED]; Tetradis PLB(00)hp/99 [as
dual Josephson junction];
Chernitskii qp/03-in
[and unified theory]; Krekora et al PRL(04)
[no limitations for electrons]; Zavialov TMP(04)
[and deformed Heisenberg
algebra]; Balachandran et al a0708 [twisted
quantum field theory]; > s.a. photon, qed
phenomenology.
> Lattice theories:
see ising
model [with non-local links]; lattice field
theory [localization in random lattices].
References
@ General references: Muller & Butterfield PhSc(94)sep;
Jaekel & Reynaud PLA(96)qp;
Gottschalk LMP(99)mp/04 [ito
Wightman functions, in momentum space]; Halvorson PhSc(01)
[Reeh-Schlieder vs Newton-Wigner]; Chernitskii qp/01;
Brunetti et al CMP(03)
[generally covariant]; Bostelmann JMP(05)mp/04;
Wanng qp/05 [non-locality].
@ Localization:
John PT(91)may
[light]; Schroer ht/98-ln;
Schroer a0711 [quantum
mechanics, quantum field theory and quantum gravity].
@ Physics in a bounded region: Reeh & Sleider NC(61);
in Haag 92; Strohmaier et al JMP(02)mp [in
curved spacetime].
@ Related topics:
Tommasini ht/01, ht/01 [and
correlations].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jun 2008