Quantum field theory on a growing lattice

Abstract

We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice. Growth-induced particle creation is studied in a two-dimensional example. The results suggest that local mode birth of this sort injects too much energy into the vacuum to be a viable model of cosmological mode birth.

arXiv comment28 pages, 2 figures; v.2: added comments on defining energy, and references

References in corpus (10)

• Dynamically Triangulating Lorentzian Quantum Gravity
• Mode Generating Mechanism in Inflation with Cutoff
• A non-perturbative Lorentzian path integral for gravity
• Trans-Planckian redshifts and the substance of the space-time river
• Non-perturbative 3d Lorentzian Quantum Gravity
• Lattice Black Holes
• Evolution in Quantum Causal Histories
• Hawking radiation on a falling lattice
• Field theory on evolving fuzzy two-sphere
• Beneath Gauge

Cited by in corpus (10)

• Back-Reaction and the Trans-Planckian Problem of Inflation Revisited
• Time evolution as refining, coarse graining and entangling
• Constraint analysis for variational discrete systems
• Spacetime Curvature in terms of Scalar Field Propagators
• Black holes and Hawking radiation in spacetime and its analogues
• Quantization of systems with temporally varying discretization II: Local evolution moves
• Locality and entanglement in bandlimited quantum field theory
• Quantization of systems with temporally varying discretization I: Evolving Hilbert spaces
• Algebraic Classical and Quantum Field Theory on Causal Sets
• Discrete Linear Canonical Evolution