Scalar current of created pairs by Schwinger mechanism in de Sitter spacetime

2016/02/29 by Ehsan Bavarsad, Clément Stahl, She-Sheng Xue · 51 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Electric field #Massless particle #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Semiclassical physics #Spacetime #Universe #hep-th

paper · pdf · doi:10.1103/physrevd.94.104011

published in Physical review. D/Physical review. D. 94(10) (American Physical Society) · v2: 41 pages, 4 figures, matches published version

openalex created_date 2016/06/24 · openalex publication_date 2016/11/04 · arxiv created 2017/01/10 · arxiv updated 2017/01/11 · openalex updated_date 2026/08/05

Abstract

We consider a charged scalar field in a D-dimensional de Sitter spacetime and investigate pair creation by a Schwinger mechanism in a constant electric field background. Using a semiclassical approximation the current of the created pairs has been estimated. We find that the semiclassical current of the created pairs in the strong electric field limit responds as E^(D)/(2). Going further but restricting to D=3 dimensional de Sitter spacetime, the quantum expectation value of the spacelike component of the induced current has been computed in the in-vacuum state by applying an adiabatic subtraction scheme. We find that, in the strong electric field limit, the current responds as E^(3)/(2). In the weak electric field limit the current has a linear response in E and an inverse dependence on the mass of the scalar field. In the case of a massless scalar field, the current varies with E^\ensuremath-1 which leads to a phenomenon of infrared hyperconductivity. A new relation between infrared hyperconductivity, tachyons, and conformality is discussed, and a scheme to avoid an infrared hyperconductivity regime is proposed. In D dimension, we eventually presented some first estimates of the backreaction of the Schwinger pairs to the gravitational field, and we find a decrease of the Hubble constant due to the pair creation.

Citations

• Extremely high-intensity laser interactions with fundamental quantum systems
• Cosmological magnetic fields: their generation, evolution and observation
• First Law of Thermodynamics and Friedmann Equations of Friedmann–Robertson–Walker Universe
• Vacuum pair-production in a classical electric field and an electromagnetic wave
• Towards inflation in string theory
• On Gauge Invariance and Vacuum Polarization
• Effective Lagrangian and energy-momentum tensor in de Sitter space
• Nucleation rates in flat and curved space
• Superadiabatic particle number in Schwinger and de Sitter particle production
• Spin1/2field and regularization in a de Sitter and radiation dominated universe
• Pair creation in the early universe

Cited by

• On early and late phases of acceleration of the expansion of the universe

Related

• Schwinger Current in de Sitter Space
• Effect of Schwinger pair production on the evolution of the Hubble constant in de~Sitter spacetime
• Classical constant electric fields and the Schwinger effect in de Sitter
• Massless fermionic current of Schwinger pairs in 3D de Sitter spacetime
• Pair creation in the early universe