Thermodynamics of String Field Theory Motivated Nonlocal Models

Abstract

We investigate the thermodynamic properties of the nonlocal tachyon motivated by their nonlocal structure in string field theory. We use previously developed perturbative methods for nonlocal fields to calculate the partition function and the equation of state in the high temperature limit. We find that in these models the tachyons undergo a second order phase transition. We compare our results with those of ordinary scalar field theory. We also calculate the one loop finite temperature effective potential.

31 pages, 9 figures

References in corpus (28)

• Towards singularity and ghost free theories of gravity
• Dynamics of Nonlocal Cosmology
• Accelerating cosmologies from non-local higher-derivative gravity
• Localization of nonlocal theories
• Non-perturbative Gravity, Hagedorn Bounce & CMB
• Dynamics with Infinitely Many Derivatives: The Initial Value Problem
• Route to nonlocal cosmology
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Ultraviolet Complete Quantum Gravity
• Large Nongaussianity from Nonlocal Inflation
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• De Sitter Universe in Nonlocal Gravity
• Fading Gravity and Self-Inflation
• Thermal Fluctuations and Bouncing Cosmologies
• Predictions for Nongaussianity from Nonlocal Inflation
• More on the Spectrum of Perturbations in String Gas Cosmology
• Thermal fluctuations in loop cosmology
• Stretching the Inflaton Potential with Kinetic Energy
• Tachyon solutions in boundary and cubic string field theory
• Holography and the scale-invariance of density fluctuations
• Dynamics with Infinitely Many Derivatives: Variable Coefficient Equations
• Kinks of open superstring field theory
• Ultraviolet Complete Electroweak Model Without a Higgs Particle
• Zeta Nonlocal Scalar Fields
• On Some Nonlinear Integral Equation in the (Super)String Theory
• Near-Milne realization of scale-invariant fluctuations
• Electroweak Model Without A Higgs Particle
• Redesigning Electroweak Theory: Does the Higgs Particle Exist?

Cited by in corpus (16)

• Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
• Inflation in (Super-)renormalizable Gravity
• Towards LHC Physics with Non-local Standard Model
• Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
• High-Energy Scatterings in Infinite-Derivative Field Theory and Ghost-Free Gravity
• COSMOS-$e^{\prime }$- soft Higgsotic attractors
• Cosmological perturbations from statistical thermal fluctuations
• de Sitter Swampland Conjecture in String Field Inflation
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• String-Inspired Infinite-Derivative Theories of Gravity: A Brief Overview
• Perturbations in higher derivative gravity beyond maximally symmetric spacetimes
• On thermal field fluctuations in ghost-free theories
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity
• Nonlocal dynamics and infinite non-relativistic conformal symmetries
• Local and Nonlocal Thermal Field Theory