Local Scale Invariance and Inflation

Abstract

We study the inflation and the cosmological perturbations generated during the inflation in a local scale invariant model. The local scale invariant model introduces a vector field $S_{\mu }$ in this theory. In this paper, for simplicity, we consider the temporal part of the vector field $S_t$. We show that the temporal part is associated with the slow roll parameter of scalar field. Due to local scale invariance, we have a gauge degree of freedom. In a particular gauge, we show that the local scale invariance provides sufficient number of e-foldings for the inflation. Finally, we estimate the power spectrum of scalar perturbation in terms of the parameters of the theory.

11 pages

References in corpus (5)

• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Cosmological Symmetry Breaking, Pseudo-scale invariance, Dark Energy and the Standard Model
• Inflation in a conformally-invariant two-scalar-field theory with an extra $R^2$ term
• Non-relativistic matter and Dark energy in a quantum conformal model