Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared

Abstract

We investigate the running gauge couplings of U(N) noncommutative gauge theories with compact extra dimensions. Power law running of the trace-U(1) gauge coupling in the ultraviolet is communicated to the infrared by ultraviolet/infrared mixing, whereas the SU(N) factors run exactly as in the commutative theory. This results in theories where the experimentally excluded trace-U(1) factors decouple with a power law running of the momentum in the extreme infrared, effectively hiding them from detection.

arXiv comment22 pages, 2 figures and 1 table

References in corpus (26)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Noncommutative Perturbative Dynamics
• Grand Unification at Intermediate Mass Scales through Extra Dimensions
• Noncommutative Open String and D-brane
• D-branes and the Noncommutative Torus
• The IR/UV Connection in the Non-Commutative Gauge Theories
• General Properties of Noncommutative Field Theories
• Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
• Renormalizability of gauge theories in extra dimensions
• Chiral Gauge Anomalies on Noncommutative R^4
• Noncommutative Gauge Field Theories: A No-Go Theorem
• Multidimensional extension of the generalized Chowla-Selberg formula
• A Note on Superfields and Noncommutative Geometry
• Restrictions on Gauge Groups in Noncommutative Gauge Theory
• Wilsonian Effective Actions and the IR/UV Mixing in Noncommutative Gauge Theories
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Compact Dimensions and their Radiative Mixing
• Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Wilson lines corrections to gauge couplings from a field theory approach
• Noncommutative Standard Modelling
• Regularisation Techniques for the Radiative Corrections of Wilson lines and Kaluza-Klein states
• Power corrections in models with extra dimensions

Cited by in corpus (17)

• Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
• Fermions on spontaneously generated spherical extra dimensions
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
• The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• Noncommutative quantum mechanics of a test particle under linearized gravitational waves
• Galilean symmetry in noncommutative Gravitational Quantum Well
• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Fuzzy Extra Dimensions: Dimensional Reduction, Dynamical Generation and Renormalizability
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
• Effective Field Theory of a Locally Noncommutative Space-Time and Extra Dimensions