FIZIKA B 19 (2010) 3, 135-142

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Department of Nuclear and Energy Engineering, Cheju National University, Ara-dong 1, Jeju 690-756, South Korea
E-mail address:
Dedicated to the memory of Andrea Raspini

Received 23 July 2010     Accepted 25 August 2010
Online 26 January 2011

It has been shown that within the framework of the fractional spectral triplet action in noncommutative geometry, constructed recently by the author in the sense of Erdélyi-Kober fractional integral considerations, more quantum vacuum energy per a single mode is generated in the background of the spatially flat Friedmann-Robertson-Walker spacetime geometry. Our analyses are based on Broda et al. formalism which uses the coordinate gauge freedom transformations in the Euclidean version of the formalism of effective action. The result is estimated for a particular value of the fractional integral exponent which corresponds to the Raspini fractional Dirac operator of the order 2/3.

PACS numbers: 98.80.Hw, 04.90.+e
UDC 524.83, 534.83

Keywords: Erdélyi-Kober fractional integral, fractional spectral triplet action, quantum vacuum energy, accelerated expansion

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