Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings

Details Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings

2010-05-04

arxiv.org/abs/1005.0430v2

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 11 figures

Scientific paper

We develop the thermodynamics of field theories characterized by non-local propagators. We analyze the partition function and main thermodynamic properties arising from perturbative thermal loops. We focus on the p-adic models associated with the tachyon phenomenology in string theories. We reproduce well known features of these theories, but also obtain many new results. In particular, we explain how to maintain consistency of such non-local theories by avoiding the appearance of ghosts at finite temperature. As a consequence of this fact, the vacuum energy in p-adic theories becomes positive. It is also hierarchically suppressed, and we explore the parameter space where it is consistent with the observed value of the cosmological constant.

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