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

TL;DR

This paper develops the thermodynamics of non-local p-adic string field theories, revealing their vacuum energy behavior and potential consistency with the observed cosmological constant.

Contribution

It introduces a thermodynamic framework for non-local p-adic models and demonstrates how to avoid ghosts, leading to a positive, suppressed vacuum energy compatible with cosmological observations.

Findings

Vacuum energy in p-adic theories is positive and hierarchically suppressed.

The models avoid ghosts at finite temperature, ensuring consistency.

Parameter space aligns with observed cosmological constant values.

Abstract

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.