Cosmological particle creation in states of low energy

Abstract

The recently proposed states of low energy provide a well-motivated class of reference states for the quantized linear scalar field on cosmological Friedmann-Robertson-Walker spacetimes. The low energy property of a state is localized close to some value of the cosmological time coordinate. We present calculations of the relative cosmological particle production between a state of low energy at early time and another such state at later time. In an exponentially expanding Universe, we find that the particle production shows oscillations in the spatial frequency modes. The basis of the method for calculating the relative particle production is completely rigorous. Approximations are only used at the level of numerical calculation.

24 pages, 7 figures

References in corpus (5)

• Axiomatic quantum field theory in curved spacetime
• Absolute quantum energy inequalities in curved spacetime
• Stable cosmological models driven by a free quantum scalar field
• States of Low Energy on Robertson-Walker Spacetimes
• Local Thermal Equilibrium States and Quantum Energy Inequalities

Cited by in corpus (17)

• Cosmological Particle Production: A Review
• Quantum Field Theory on Curved Backgrounds -- A Primer
• On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario
• On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
• Dynamical locality and covariance: What makes a physical theory the same in all spacetimes?
• "Vacuum-like" Hadamard states for quantum fields on curved spacetimes
• Endomorphisms and automorphisms of locally covariant quantum field theories
• Dynamical locality of the free scalar field
• States of Low Energy in Homogeneous and Inhomogeneous, Expanding Spacetimes
• Explicit harmonic and spectral analysis in Bianchi I-VII type cosmologies
• Bonus Properties of States of Low Energy
• Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields
• The Semiclassical Einstein Equation on Cosmological Spacetimes
• Low Energy States and CPT invariance at the Big Bang
• A unified mode decomposition method for physical fields in homogeneous cosmology
• Locally covariant quantum field theory and the spin-statistics connection
• Explicit construction of Hadamard states for Quantum Field Theory in curved spacetimes