Noncommutative Standard Modelling

Khoze, Valentin V.; Levell, Jonathan

doi:10.1088/1126-6708/2004/09/019

Cited by 21 publications

(46 citation statements)

References 32 publications

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“…This paper refines the earlier analysis of [8]. In that work the trace-U(1) factors were assumed to be completely decoupled in the extreme infrared and, hence, were neglected.…”

Section: Introduction and Discussion Of Resultssupporting

confidence: 58%

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

Jaeckel

Khoze

Ringwald

2006

J. High Energy Phys.

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Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. In this paper, we study a general class of 4-dimensional noncommutative models consistent with these restrictions. Specifically we consider models based upon a gauge theory with the gauge group U(N 1 )×U(N 2 )×. . .× U(N m ) coupled to matter fields transforming in the (anti)-fundamental, bi-fundamental and adjoint representations. Noncommutativity is introduced using the Weyl-Moyal starproduct approach on a continuous space-time. We pay particular attention to overall trace-U(1) factors of the gauge group which are affected by the ultraviolet/infrared mixing. We show that, in general, these trace-U(1) gauge fields do not decouple sufficiently fast in the infrared, and lead to sizable Lorentz symmetry violating effects in the low-energy effective theory. Making these effects unobservable in the class of models we consider would require pushing the constraint on the noncommutativity mass scale far beyond the Planck mass (M NC 10 100 M P ) and severely limits the phenomenological prospects of such models.

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“…This paper refines the earlier analysis of [8]. In that work the trace-U(1) factors were assumed to be completely decoupled in the extreme infrared and, hence, were neglected.…”

Section: Introduction and Discussion Of Resultssupporting

confidence: 58%

“…(2.16) 8 It is obvious that k 2 ≪ M 2 NC . In this regime our formulas (2.10) and (2.11) approximate the full result to a very high precision since threshold effects are negligible.…”

Section: Running Gauge Couplingmentioning

confidence: 99%

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

Jaeckel

Khoze

Ringwald

2006

J. High Energy Phys.

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“…The trace-U(1) components and its UV/IR mixing were understood in [10] to be part of gravity sector and are not part of the low-energy gauge theory. This allows us to resolve the problems with the U(1) sector found in previous formulations of the standard model on the Moyal-Weyl plane [16,17] based on (products of) U(N) gauge groups.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative gauge theory and symmetry breaking in matrix models

2010

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We show how the fields and particles of the standard model can be naturally realized in noncommutative gauge theory. Starting with a Yang-Mills matrix model in more than four dimensions, an SU(n) gauge theory on a Moyal-Weyl space arises with all matter and fields in the adjoint of the gauge group. We show how this gauge symmetry can be broken spontaneously down to SU(3)c×SU(2)L×U(1)Q [resp. SU(3)c×U(1)Q], which couples appropriately to all fields in the standard model. An additional U(1)B gauge group arises which is anomalous at low energies, while the trace-U(1) sector is understood in terms of emergent gravity. A number of additional fields arise, which we assume to be massive, in a pattern that is reminiscent of supersymmetry. The symmetry breaking might arise via spontaneously generated fuzzy spheres, in which case the mechanism is similar to brane constructions in string theory

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“…In the context of Weyl-Moyal noncommutative Standard Model building, a number of features of noncommutative gauge theories have to be taken into account which are believed to be generic [11]: photon as the only massless colourless U(1) gauge boson. Our findings pose extremely severe constraints on such models effectively ruling them out.…”

Section: Introductionmentioning

confidence: 99%

Photon Defects in Noncommutative Standard Model Candidates

Abel

Jaeckel

Khoze

et al. 2006

J. Phys.: Conf. Ser.

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Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. We study a general class of noncommutative models consistent with these restrictions. Specifically we consider models based upon a gauge theory with the gauge group U(N1) × U(N2) × . . . × U(Nm) coupled to matter fields transforming in the (anti)-fundamental, bi-fundamental and adjoint representations. We pay particular attention to overall trace-U(1) factors of the gauge group which are affected by the ultraviolet/infrared mixing. Typically, these trace-U(1) gauge fields do not decouple sufficiently fast in the infrared, and lead to sizable Lorentz symmetry violating effects in the low-energy effective theory. In a 4-dimensional theory on a continuous space-time making these effects unobservable would require making the effects of noncommutativity tiny, MNC ≫ MP. This severely limits the phenomenological prospects of such models. However, adding additional universal extra dimensions the trace-U(1) factors decouple with a power law and the constraint on the noncommutativity scale is weakened considerably. Finally, we briefly mention some interesting properties of the photon that could arise if the noncommutative theory is modified at a high energy scale.

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Noncommutative Standard Modelling

Cited by 21 publications

References 32 publications

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

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

Noncommutative gauge theory and symmetry breaking in matrix models

Photon Defects in Noncommutative Standard Model Candidates

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