UV/IR mode mixing and the CMB

Abstract

It is well understood that spatial non-commutativity, if indeed realized in nature, is a phenomenon whose effects are not just felt at energy scales comparable to the non-commutativity scale. Loop effects can transmit signatures of any underlying non-commutativity to macroscopic scales (a manifestation of a phenomenon that has come to be known as UV/IR mode mixing) and offer a potential lever to constrain the amount of non-commutativity present in nature, if present at all. Field theories defined on non-commutative spaces (realized in string theory when D-branes are coupled to backgrounds of non-trivial RR background flux), can exhibit strong UV/IR mode mixing, manifesting in a non-local one loop effective action. In the context of inflation in the presence of any background non-commutativity, we demonstrate how this UV/IR mixing at the loop level can allow us to place severe constraints on the scale of non-commutativity if we presume inflation is responsible for large scale structure. We demonstrate that any amount of non-commutativity greatly suppresses the CMB power at all observable scales, {\it independent} of the scale of inflation, and independent of whether or not the non-commutativity tensor redshifts during inflation, therefore nullifying a very salient and successful prediction of inflation.

Version to appear in Phys. Rev. D; references added, 11 pages, 2 figures, RevTeX4

References in corpus (21)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Noncommutative Field Theory
• Dielectric-Branes
• Noncommutative Perturbative Dynamics
• D-branes and Deformation Quantization
• Space-Time Noncommutative Field Theories And Unitarity
• The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
• On the one loop corrections to inflation and the CMB anisotropies
• The inflationary trispectrum
• Remarks on Inflation and Noncommutative Geometry
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Phase structure of non-commutative scalar field theories
• Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry
• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Constraints from CMB on Spacetime Noncommutativity and Causality Violation
• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation
• Macroscopic Screening of Coulomb Potentials From UV/IR-Mixing
• Photon Defects in Noncommutative Standard Model Candidates

Cited by in corpus (7)

• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
• Laser intensity effects in noncommutative QED
• Generalized Non-Commutative Inflation
• Translation-Invariant Noncommutative Renormalization
• Noncommutative spacetime geometry and one-loop effects in primordial cosmology
• Inflation on a Non-Commutative Space-Time