Particle creation in a tunneling universe. I

@article{Hong2003ParticleCI,
  title={Particle creation in a tunneling universe. I},
  author={J. Hong and Alexander Vilenkin and Sergei Winitzki},
  journal={Physical Review D},
  year={2003},
  volume={68},
  pages={023520}
}
An expanding closed universe filled with radiation can either recollapse or tunnel to the regime of unbounded expansion, if the cosmological constant is nonzero. We re-examine the question of particle creation during tunneling, with the purpose of resolving a long-standing controversy. Using a perturbative superspace model with a conformally coupled massless scalar field, which is known to give no particle production, we explicitly show that the breakdown of the semiclassical approximation and… 

Figures from this paper

Tunneling probability for the birth of an asymptotically de Sitter universe

In the present work, we quantize a closed Friedmann-Robertson-Walker model in the presence of a positive cosmological constant and radiation. It gives rise to a Wheeler-DeWitt equation for the scale

Quantum instability of an oscillating universe

An oscillating, compact FLRW universe with a massive conformally coupled scalar field is studied in the framework of quantum cosmology. The scalar field is treated as a perturbation and we look for

Different Interpretations of the Particle Production in Quantum Fields Theory

We discuss different interpretations of the particle production in quantum fields theory. We study in detail the “instantaneous Hamiltonian diagonalization method” and the “adiabatic vacuum

Cosmological particle production and the precision of the WKB approximation

Particle production by slow-changing gravitational fields is usually described using quantum field theory in curved spacetime. Calculations require a definition of the vacuum state, which can be

INFLATION AND SQUEEZED STATES: LATTICE SCHRÖDINGER PICTURE

In lattice Schrodinger picture, the wave functionals of the squeezed vacuum states of a free real scalar field in de Sitter space are constructed explicitly in momentum space by using the method of

Quantum cosmological models

We contrast the initial condition requirements of various contemporary cosmological models including inflationary and bouncing cosmologies. Canonical quantization of general relativity is used, as a

On particle creation in the flat FRW chart of de Sitter spacetime

The conditions of the Gibbons–Hawking effect, i.e., particle production in the Friedmann–Robertson–Walker chart of the de Sitter spacetime, are revisited. For a theory with a massive scalar and a

An action principle for the quantization of parametric theories and nonlinear quantum cosmology

By parametrizing the action integral for the standard Schrodinger equation we present a derivation of the recently proposed method for quantizing a parametrized theory. The reformulation suggests a

Resonant structure of the early-universe space-time

A new fully quantum method, describing the propagation of a packet from the internal well outside with its tunneling through a barrier of arbitrary shape used in problems of quantum cosmology, is