Trans-Planckian signals from the breaking of local Lorentz invariance

Abstract

This article examines how a breakdown of a locally Lorentz invariant, point-like description of nature at tiny space-time intervals would translate into a distinctive set of signals in the primordial power spectrum generated by inflation. We examine the leading irrelevant operators that are consistent with the spatial translations and rotations of a preferred, isotropically expanding, background. A few of the resulting corrections to the primordial power spectrum do not have the usual oscillatory factor, which is sometimes taken to be characteristic of a "trans-Planckian" signal. Perhaps more interestingly, one of these leading irrelevant operators exactly reproduces a correction to the power spectrum that occurs in effective descriptions of the state of the field responsible for inflation.

11 pages, no figures, uses ReVTeX

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
• CMB quadrupole suppression: II. The early fast roll stage
• Exact solution of inflationary model with minimum length
• The renormalization of the energy-momentum tensor for an effective initial state

Cited by in corpus (3)

• Semi-analytical approach to magnetized temperature autocorrelations
• Trans-Planckian enhancements of the primordial non-Gaussianities
• Short Distance Physics and Initial State Effects on the CMB Power Spectrum