No-go theorem of anisotropic inflation via Schwinger mechanism

Abstract

In the presence of a dilatonic coupling between an inflaton and a $U(1)$ gauge field, a persistent electric field (i.e., an anisotropic inflation) is obtained as a solution of the classical field equations. We introduce charged, massive, and conformally coupled fields into this model and study the pair production of charged particles. The semiclassical approach allows us to evaluate the induced current due to the pair production on the general dilatonic factor and electric field. Solving the field equations with the induced current, we find that the electric field shows a damped oscillation, whose amplitude decays to zero regardless of the values of the masses of charged fields. In other words, we derive a no-go theorem of anisotropic inflation by taking into account the Schwinger mechanism.

7 pages, 5 figures, matches published version

References in corpus (5)

• Inflationary Universe with Anisotropic Hair
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Early Cosmological Evolution of Primordial Electromagnetic Fields
• Schwinger Mechanism During Inflation
• Schwinger production of scalar particles during and after inflation from the first principles

Cited by in corpus (6)

• The exact WKB for cosmological particle production
• The Exact WKB and the Landau-Zener transition for asymmetry in cosmological particle production
• The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
• The Exact WKB analysis for asymmetric scalar preheating
• Kaluza-Klein Schwinger effect
• When does the Schwinger Preheating Occur?