Waves on noncommutative spacetimes

Balachandran, A. P.; Gupta, Kumar S.; Kürkçüoğlu, S

doi:10.1103/physrevd.73.025021

Cited by 22 publications

(43 citation statements)

References 18 publications

(22 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a particular formulation of that system, covariant derivatives of the U (1)-gauge fields of electromagnetism do act in the manner we assume, and not with a * -product [24].…”

Section: Implications For Gauge Fieldsmentioning

confidence: 99%

Twisted gauge and gravity theories on the Groenewold-Moyal plane

et al. 2007

View full text Add to dashboard Cite

Recent work [1,2] indicates an approach to the formulation of diffeomorphism invariant quantum field theories (qft's) on the Groenewold-Moyal (GM) plane. In this approach to the qft's, statistics gets twisted and the S-matrix in the non-gauge qft's become independent of the noncommutativity parameter θ µν . Here we show that the noncommutative algebra has a commutative spacetime algebra as a substructure: the Poincaré, diffeomorphism and gauge groups are based on this algebra in the twisted approach as is known already from the earlier work of [1]. It is natural to base covariant derivatives for gauge and gravity fields as well on this algebra. Such an approach will in particular introduce no additional gauge fields as compared to the commutative case and also enable us to treat any gauge group (and not just U (N )). Then classical gravity and gauge sectors are the same as those for θ µν = 0, but their interactions with matter fields are sensitive to θ µν . We construct quantum noncommutative gauge theories (for arbitrary gauge groups) by requiring consistency of twisted statistics and gauge invariance. In a subsequent paper (whose results are summarized here), the locality and Lorentz invariance properties of the S-matrices of these theories will be analyzed, and new non-trivial effects coming from noncommutativity will be elaborated. This paper contains further developments of [3] and a new formulation based on its approach.

show abstract

“…In a particular formulation of that system, covariant derivatives of the U (1)-gauge fields of electromagnetism do act in the manner we assume, and not with a * -product [24].…”

Section: Implications For Gauge Fieldsmentioning

confidence: 99%

Twisted gauge and gravity theories on the Groenewold-Moyal plane

et al. 2007

View full text Add to dashboard Cite

show abstract

“…A discussion of waves in more general noncommutative space-times can be found in [8,9]. Noncommutativity breaks Lorentz invariance spontaneously due to the existence of a constant matrix θ µν and this means that light waves may no longer travel with the velocity of light.…”

Section: Introductionmentioning

confidence: 99%

Dispersion relations in noncommutative theories

2007

View full text Add to dashboard Cite

We present a detailed study of plane waves in noncommutative abelian gauge theories. The dispersion relation is deformed from its usual form whenever a constant background electromagnetic field is present and is similar to that of an anisotropic medium with no Faraday rotation nor birefringence. When the noncommutativity is induced by the Moyal product we find that for some values of the background magnetic field no plane waves are allowed when time is noncommutative. In the Seiberg-Witten context no restriction is found. We also derive the energy-momentum tensor in the Seiberg-Witten case. We show that the generalized Poynting vector obtained from the energy-momentum tensor, the group velocity and the wave vector all point in different directions. In the absence of a constant electromagnetic background we find that the superposition of plane waves is allowed in the Moyal case if the momenta are parallel or satisfy a sort of quantization condition. We also discuss the relation between the solutions found in the Seiberg-Witten and Moyal cases showing that they are not equivalent.

show abstract

“…NA vortices are color magnetic flux tubes and the simplest vortex ansatz is given in Refs. [9,13,14] as ∆ ur (r, θ) = ∆ cfl diag f (r)e iθ , g(r), g(r) , A ur i (r) = 1 3g s ǫ i j x j r 2 1 − h(r) diag(2, −1, −1), with the gauge coupling constant g s . Here the profile functions f (r), g(r) and h(r) can be computed numerically with boundary conditions, f (0) = 0, ∂ r g(r)| r=0 = 0, h(0) = 1, f (∞) = g(∞) = 1, h(∞) = 0 [14].…”

Section: Vortices In Hadronic and Cfl Phasesmentioning

confidence: 99%

Quark-Hadron Crossover with Vortices

Chatterjee

Nitta

Yasui

2019

Proceedings of the 8th International Conference on Quarks and Nuclear Physics (QNP2018)

View full text Add to dashboard Cite

The quark-hadron crossover conjecture was proposed as a continuity between hadronic matter and quark matter with no phase transition. It is based on matching of symmetry and excitations in both the phases. It connects hyperon matter and color-flavor locked (CFL) phase of color superconductivity in the limit of light strange quark mass. We study generalization of this conjecture in the presence of topological vortices. We propose a picture where hadronic superfluid vortices in hyperon matter could be connected to non-Abelian vortices (color magnetic flux tubes) in the CFL phase during this crossover. We propose that three hadronic superfluid vortices must join together to three non-Abelian vortices with different color fluxes with the total color magnetic fluxes canceled out, where the junction is called a colorful boojum.

show abstract

Waves on noncommutative spacetimes

Cited by 22 publications

References 18 publications

Twisted gauge and gravity theories on the Groenewold-Moyal plane

Twisted gauge and gravity theories on the Groenewold-Moyal plane

Dispersion relations in noncommutative theories

Quark-Hadron Crossover with Vortices

Contact Info

Product

Resources

About