Polymer quantization, stability and higher-order time derivative terms

Patricio Cumsille, Carlos M. Reyes, Sebastian Ossandon, Camilo Reyes

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

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.

Idioma originalEnglish
Número de artículo1650040
PublicaciónInternational Journal of Modern Physics A
Volumen31
N.º9
DOI
EstadoPublished - 30 mar 2016
Publicado de forma externa

Huella dactilar

polymers
regulators
ghosts
norms
harmonic oscillators
energy
gravitation
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Citar esto

Cumsille, Patricio ; Reyes, Carlos M. ; Ossandon, Sebastian ; Reyes, Camilo. / Polymer quantization, stability and higher-order time derivative terms. En: International Journal of Modern Physics A. 2016 ; Vol. 31, N.º 9.
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Polymer quantization, stability and higher-order time derivative terms. / Cumsille, Patricio; Reyes, Carlos M.; Ossandon, Sebastian; Reyes, Camilo.

En: International Journal of Modern Physics A, Vol. 31, N.º 9, 1650040, 30.03.2016.

Resultado de la investigación: Article

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