Polymer quantization, stability and higher-order time derivative terms

Patricio Cumsille, Carlos M. Reyes, SEBASTIAN EDUARDO OSSANDON VELIZ, Camilo Reyes

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The possibility that fundamental discreteness implicit in a quantum gravity theory may act as a natural regulator for ultraviolet singularities arising in quantum field theory has been intensively studied. Here, along the same expectations, we investigate whether a nonstandard representation called polymer representation can smooth away the large amount of negative energy that afflicts the Hamiltonians of higher-order time derivative theories, rendering the theory unstable when interactions come into play. We focus on the fourth-order Pais-Uhlenbeck model which can be reexpressed as the sum of two decoupled harmonic oscillators one producing positive energy and the other negative energy. As expected, the Schrödinger quantization of such model leads to the stability problem or to negative norm states called ghosts. Within the framework of polymer quantization we show the existence of new regions where the Hamiltonian can be defined well bounded from below.

Original languageEnglish
Article number1650040
JournalInternational Journal of Modern Physics A
Volume31
Issue number9
DOIs
StatePublished - 30 Mar 2016
Externally publishedYes

Keywords

  • Higher time derivatives
  • polymer quantization
  • stability

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