UV/IR mode mixing and the CMB
Jun, 200911 pages
Published in:
- Phys.Rev.D 80 (2009) 083010
e-Print:
- 0906.4727 [hep-th]
Report number:
- HU-EP-09-18
View in:
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Abstract: (arXiv)
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 window 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, 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.Note:
- 11 pages, 2 figures, RevTeX4
- 98.80.Cq
- 11.25.Wx
- scale: inflation
- space: noncommutative
- D-brane
- infrared
- flux: background
- perturbation theory: higher-order
- phi**n model
- power spectrum
References(23)
Figures(2)