Noncommutative gauge theory without Lorentz violation
Reads0
Chats0
TLDR
In this paper, the authors consider the simplest algebra in which the matrix parameter is promoted to an operator and Lorentz invariance is preserved and formulate a star product and construct the gauge-invariant Lagrangian for noncommutative QEDs.Abstract:
The most popular noncommutative field theories are characterized by a matrix parameter ${\ensuremath{\theta}}^{\ensuremath{\mu}\ensuremath{\nu}}$ that violates Lorentz invariance. We consider the simplest algebra in which the $\ensuremath{\theta}$ parameter is promoted to an operator and Lorentz invariance is preserved. This algebra arises through the contraction of a larger one for which explicit representations are already known. We formulate a star product and construct the gauge-invariant Lagrangian for Lorentz-conserving noncommutative QED. Three-photon vertices are absent in the theory, while a four-photon coupling exists and leads to a distinctive phenomenology.read more
Citations
More filters
Journal ArticleDOI
Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
Piero Nicolini,Piero Nicolini +1 more
TL;DR: In this paper, the authors present a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity, seen as an effective theory of Quantum Gravity.
Journal ArticleDOI
Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
Piero Nicolini,Piero Nicolini +1 more
TL;DR: The relation between the physics of Quantum Black Holes and non-commutative geometry has been studied in this article, where a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity is presented.
Journal ArticleDOI
Noncommutative Inspired Black Holes in Extra Dimensions
TL;DR: In this article, Nicolini, Smailagic and Spallucci extended the NSS model to the case of flat, toroidally compactified extra dimensions and examined the resulting modifications in black hole properties due to the existence of noncommutativity.
Journal ArticleDOI
Lorentz invariance, unitarity and UV-finiteness of QFT on noncommutative spacetime
Anais Smailagic,Euro Spallucci +1 more
TL;DR: In this article, the UV finite quantum field theory on even-dimensional non-commutative spacetime is formulated using coordinate coherent states, and the 2D space is foliated into families of orthogonal, non-commodity, two planes.
Journal ArticleDOI
Lorentz and CPT violation in the Higgs sector
TL;DR: In this paper, Colladay and Kostelecky have proposed a framework for studying Lorentz and CPT violation in a natural extension of the Standard Model, but no published bounds on the parameters in the Higgs sector are known.
References
More filters
Journal ArticleDOI
String theory and noncommutative geometry
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this article, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
Journal ArticleDOI
Quantized Space-Time
TL;DR: In this article, the authors give an example of a Lorentz invariant discrete space-time, which is not required by the assumption that space time is a continuous space, and show that it is possible to construct a discrete space time with Lorentzi invariance.
Journal ArticleDOI
Consequences of Dirac's theory of positrons
W. Heisenberg,H. Euler +1 more
TL;DR: In this paper, the authors compared Dirac's theory of the positron to those proposed by Born and showed that the field strength of large fields differs strongly from those of small fields.
Journal ArticleDOI
Folgerungen aus der Diracschen Theorie des Positrons
Werner Heisenberg,Hans v. Euler +1 more
TL;DR: Aus der Diracschen Theorie des Positrons folgt, da jedes elektromagnetische Feld zur Paarerzeugung neigt, eine Abanderung der Maxwellschen Gleichungen des Vakuums as discussed by the authors.
Journal ArticleDOI
Lorentz-Violating Extension of the Standard Model
Don Colladay,V. Alan Kostelecký +1 more
TL;DR: In this article, a general Lorentz-violating extension of the minimal quantum field theory is presented, which can be viewed as the low-energy limit of a physically relevant fundamental theory with Lorenerz-covariant dynamics in which spontaneous LorentZ violation occurs.