Doubly
Special Relativity| Doubly
Special Relativity |
In General > s.a. 3D gravity;
4-spinors; non-commutative
field theory and geometry; poincaré; supergravity.
* Idea: "Doubly
special relativity" or "deformed special relativity" (DSR either
way) is any theory containing two fundamental, invariant scales–the speed
of light and an energy, usually taken
to be Ep; The Lorentz group does
not act linearly in momentum space.
* Status: 2006, The
conceptual status is not clear, as the interpretation of a theory in which
conserved quantities are not additive is problematic.
@ Intros, reviews: Amelino-Camelia IJMPD(02)gq;
Kowalski-Glikman ht/04/LNP,
gq/06-in.
@ General references: Amelino-Camelia IJMPD(02)gq/00;
Magueijo & Smolin PRL(02)ht/01,
PRD(03)gq/02;
Amelino-Camelia Nat(02)gq,
et al CQG(03);
Judes & Visser
PRD(03)gq/02 [conservation
laws]; Granik ht/02;
Rembielinski & Smolinski ht/02/Lodz
[difficulties]; Schützhold & Unruh
JETPL(03)gq [problems
with variable c]; Liberati et al PRD(05)gq/04 [from
measurement phenomenology]; Girelli & Livine gq/04,
gq/04-in
[interpretation]; Calisto & Leiva ht/05/IJMPD
[and generalized commutation relations]; Girelli & Livine gq/06-in
[and gravitational constant].
@ DSR = special relativity? Ahluwalia gq/02, CQG(05);
Jafari
& Shariati gq/06-in.
@ Velocity: Kosinski & Maslanka PRD(03)ht/02;
Mignemi PLA(03); Aloisio et al PRD(04); Daszkiewicz et al PLA(04)ht/03.
@ Other kinematics: Kowalski-Glikman PLB(02)ht [pa-space
= 4D de Sitter], ht/02-in,
and Nowak CQG(03);
Lukierski & Nowicki IJMPA(03)
[and 
-deformation];
Mignemi IJMPD(06)gq/04 [spacetime
symmetries]; > s.a. minkowski space.
@ In position space: Kimberly et al PRD(04)gq/03;
Deriglazov PLB(04)ht;
Deriglazov & Rizzuti PRD(05)ht/04;
Aloisio et al PLB(05)gq;
Hossenfelder PLB(07)gq/06;
Mignemi a0711 [from
5D], a0802 [in
de Sitter].
Topics and Phenomenology > s.a. modified
uncertainty relations; phenomenology
of lorentz violation; types
of gauge theories.
* Phenomenology: The
most obvious consequence is a modification of the usual conservation
laws; The usual quadratic dispersion relations are modified, so that the
speed of light becomes energy dependent (without the presence of preferred
frames).
* In cosmology: The
theory may be used to induce a varying speed of sound capable of generating
(near) scale-invariant density fluctuations.
@ Canonical, phase space version: Blaut et al PLB(04)ht/03;
Hinterleitner PRD(05)gq/04;
Galán & Mena IJMPD(07)gq [relating
frameworks]; Ghosh & Pal PRD(07)ht.
@ And quantum gravity phenomenology: Kowalski-Glikman ht/03-MGX;
Amelino-Camelia et al IJMPA(05)gq/03;
Amelino-Camelia gq/04-in,
IJMPD(05)gq;
Smolin NPB(06)ht/05;
Imilkowska & Kowalski-Glikman gq/05/LNP;
Aloisio et al PRD(06)gq/05 [DSR
as effective measurement theory], PRD(06)gq [and
quantum gravity fluctuations].
@ Particles and fields: Ahluwalia-Khalilova gq/02-in,
IJMPD(04)
[fermions & bosons]; Girelli et al PRD(06)ht/05 [free
particle]; Heuson gq/06 [field
quantization]; Ghosh PRD(06),
comment García a0704-PRD
[particle dynamics and non-commutativity]; Hossenfelder PRD(07)ht [multi-particle
states]; Hinterleitner CQG(08)-a0706 [low-energy
limit not Newtonian gravity]; Mandanici a0707 [version
with additive energies].
@ Light propagation: Blaut et al MPLA(03)ht [with
light cone deformation];
Kim et al JKPS(04)gq.
@ Other topics: Livine & Oriti JHEP(05)
[3D, coherent states]; Hackett CQG(06)
[asymptotic flatness]; Magueijo a0807 [and cosmology].
Generalizations, Other Proposals > s.a. modified
general relativity; modified lorentz
symmetry [very
special relativity].
@ General references: Ballesteros et al JPA(03)ht [from
quantum Weyl-Poincaré algebra]; Mignemi PRD(07)-a0704 [and
Finsler geometry].
@ Triply special:
Kowalski-Glikman & Smolin
PRD(04)ht; Chrissomalakos &
Okon IJMPD(04) [Lie algebra form].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
13 jul 2008