Journal Article

Correlation between Momentum Modes and Winding Modes in Brandenberger-Vafa's String Cosmological Model

Kenji Hotta, Keiji Kikkawa and Hiroshi Kunitomo

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 98, issue 3, pages 687-706
Published in print September 1997 | ISSN: 0033-068X
Published online September 1997 | e-ISSN: 1347-4081 | DOI: http://dx.doi.org/10.1143/PTP.98.687
Correlation between Momentum Modes and Winding Modes in Brandenberger-Vafa's String Cosmological Model

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Brandenberger and Vafa have proposed the string cosmological model based on T-duality. In this model, they took the toroidal target space and introduced the new position conjugate to the winding mode, in addition to the position x conjugate to the momentum mode. In this way they can describe a universe larger than the string scale with the coordinate x and one smaller with the coordinate . Resultingly, they never encounter the singularity seen in the standard Big Bang scenario. The most interesting phenomenon in this model is the transition from -space to x-space when the size of universe is nearly the string scale. Here, we define the dispersion of the momentum number m times the winding number w as the ‘correlation’ of momentum modes and winding modes. Then using the statistical mechanics of strings on a torus, we calculate the correlation in low and high temperature limits, and we consider the possibility that we can observe this effect today, but we will see that this is unlikely.

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