WKB Approximation for the Polymer Quantization of the Taub Model

We develop a suitable technical algorithm to implement a separation of the Minisuperspace configurational variables into quasi-classical and purely quantum degrees of freedom, in the framework of a Polymer quantum Mechanics reformulation of the canonical dynamics. We then implement the obtained general scheme to the specific case of a Taub Universe, in the presence of a free massless scalar field. In particular, we identify the quasi-classical variables in the Universe volume and a suitable function of the scalar field, while the purely quantum degree of freedom corresponds to the Universe anisotropy. We demonstrate that the Taub cosmology is associated to a cyclical Universe, oscillating between a minimum and maximum volume turning points, respectively. The pure quantum Universe anisotropy has always a finite value.

WKB Approximation for the Polymer Quantization of the Taub Model / Cascioli, Valerio; Montani, Giovanni; Moriconi, Riccardo. - In: EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6052. - (2020).

Titolo: WKB Approximation for the Polymer Quantization of the Taub Model
Autori: 
CASCIOLI, VALERIO (Primo)
MONTANI, Giovanni (Secondo)
mostra contributor esterni 
Data di pubblicazione: 2020
Rivista: 
EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS  
Citazione: WKB Approximation for the Polymer Quantization of the Taub Model / Cascioli, Valerio; Montani, Giovanni; Moriconi, Riccardo. - In: EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6052. - (2020).
Handle: http://hdl.handle.net/11573/1449285
Appartiene alla tipologia:01a Articolo in rivista

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