Telltale traces of U(1) fields in noncommutative standard model extensions

Jaeckel, Joerg; Khoze, Valentin V.; Ringwald, Andreas

doi:10.1088/1126-6708/2006/02/028

Cited by 28 publications

(46 citation statements)

References 39 publications

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“…2). However, this has already been excluded for a four dimensional theory [6]. If we consider high scales for M NC , say M NC ∼ (10 −3 − 1)M P , we find (using Λ UV = M P ) .…”

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confidence: 80%

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Vacuum birefringence as a probe of Planck scale noncommutativity

Abel

Jaeckel

Khoze

et al. 2006

J. High Energy Phys.

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Because of ultraviolet/infrared (UV/IR) mixing, the low energy physics of noncommutative gauge theories in the Moyal-Weyl approach seems to depend crucially on the details of the ultraviolet completion. However, motivated by recent string theory analyses, we argue that their phenomenology with a very general class of UV completions can be accurately modelled by a cutoff close to the Planck scale. In the infrared the theory tends continuously to the commutative gauge theory. If the photon contains contributions from a trace-U(1), we would observe vacuum birefringence, i.e. a polarisation dependent propagation speed, as a residual effect of the noncommutativity. Constraints on this effect require the noncommutativity scale to be close to the Planck scale.

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“…2). However, this has already been excluded for a four dimensional theory [6]. If we consider high scales for M NC , say M NC ∼ (10 −3 − 1)M P , we find (using Λ UV = M P ) .…”

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confidence: 80%

“…without any quantum gravity, high energy cutoff or UV completion), noncommutative models of this type seem to conflict badly with experiment, as outlined in Ref. [6]. Either there are superfluous massless degrees of freedom or a nonvanishing (and Lorentz symmetry violating) mass term for the photon.…”

Section: Introductionmentioning

confidence: 99%

Vacuum birefringence as a probe of Planck scale noncommutativity

Abel

Jaeckel

Khoze

et al. 2006

J. High Energy Phys.

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“…Of course those authors do not use (1.4), since their motivations are not related with quantum gravity but basically with the construction of a NCFT which keeps Lorentz invariance. This is a fundamental matter, since there is no experimental evidence to assume Lorentz symmetry violation [14]. In the present work we are not considering twisted symmetries [15].…”

Section: Introductionmentioning

confidence: 97%

Dynamical symmetries in noncommutative theories

Amorim

2008

Phys. Rev. D

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In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended space-time with independent degrees of freedom associated with the object of noncommutativity θ µν . In this framework we consider theories that are invariant under the Poincaré group P or under its extension P ′ , when translations in the extra dimensions are permitted. The Noether's formalism adapted to such extended x + θ space-time is employed.amorim@if.ufrj.br

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“…We shall concentrate on the UV/IR mixing in the polarization tensor for a pure U(1) NC gauge theory, [10,11]. When SUSY is softly broken, a nontrivial dispersion relation induces a sizable Lorentz symmetry violating mass term for the photon, if the photon momentum k > ∼ Λ IR [11].…”

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confidence: 99%

Constraining noncommutative field theories with holography

Horvat

Trampetić

2011

J. High Energ. Phys.

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An important window to quantum gravity phenomena in low energy noncommutative (NC) quantum field theories (QFTs) gets represented by a specific form of UV/IR mixing. Yet another important window to quantum gravity, a holography, manifests itself in effective QFTs as a distinct UV/IR connection. In matching these two principles, a useful relationship connecting the UV cutoff ΛUV, the IR cutoff ΛIR and the scale of noncommutativity ΛNC, can be obtained. We show that an effective QFT endowed with both principles may not be capable to fit disparate experimental bounds simultaneously, like the muon g − 2 and the masslessness of the photon. Also, the constraints from the muon g − 2 preclude any possibility to observe the birefringence of the vacuum coming from objects at cosmological distances. On the other hand, in NC theories without the UV completion, where the perturbative aspect of the theory (obtained by truncating a power series in Λ −2 NC ) becomes important, a heuristic estimate of the region where the perturbative expansion is well-defined E/ΛNC < ∼ 1, gets affected when holography is applied by providing the energy of the system E a ΛNC-dependent lower limit. This may affect models which try to infer the scale ΛNC by using data from low-energy experiments.PACS numbers: 11.10.-z, 11.15.-q, 11.10.Nx, 04.60.-m Quantum field theories (QFTs) constructed on noncommutative (NC) spacetime:have received a great deal of interest lately mainly because of the possible appearance of such spacetimes in string theory [1][2][3][4][5]. In these QFTs noncommutativity is characterized by a real antisymmetric matrix θ µν of dimension of length squared, which in the context of string theory reflects the properties of the background. At tree level a QFT formulated with (1) should switch to its commutative relative whenever the momenta of the field quanta are lowered below θ −1/2 . In contrast, at loop level the inherent nonlocality of the full theory shows up in the UV/IR mixing phenomenon [6], meaning that switching to ordinary theories may occur at much lower momenta, depending on the ultimate UV cutoff in the theory. Figuratively speaking, the effect describes the linear growth of the size of a particle with its momentum, showing thus unambiguously its quantum-gravity origin [7].The phenomenon of UV/IR mixing [6] is best understood by examining the behavior of the (nonplanar) loop graphs with the ordinary product of fields replaced by the Moyal star(⋆)-product (see e.g., [3,4]). This results in phase factors depending on the virtual momenta of internal loops [8]. In a theory without UV completion (Λ UV → ∞) these phase factors, although efficient in damping out the high-energy part of the graphs, becomes together inefficient to control the vanishing momenta, i.e., the original UV divergences reappear as IR divergences. On the other hand, in presence of a finite Λ UV no one sort of divergence will appear since the said phase factors effectively transform the highest energy scale (Λ UV ) into the lowest one (Λ IR ). The theory ...

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Telltale traces of U(1) fields in noncommutative standard model extensions

Cited by 28 publications

References 39 publications

Vacuum birefringence as a probe of Planck scale noncommutativity

Vacuum birefringence as a probe of Planck scale noncommutativity

Dynamical symmetries in noncommutative theories

Constraining noncommutative field theories with holography

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