Thermal Duality and Hagedorn Transition from p-adic Strings

Abstract

We develop the finite temperature theory of p-adic string models. We find that the thermal properties of these non-local field theories can be interpreted either as contributions of standard thermal modes with energies proportional to the temperature, or inverse thermal modes with energies proportional to the inverse of the temperature, leading to a "thermal duality" at leading order (genus one) analogous to the well known T-duality of string theory. The p-adic strings also recover the asymptotic limits (high and low temperature) for arbitrary genus that purely stringy calculations have yielded. We also discuss our findings surrounding the nature of the Hagedorn transition.

4 pages and 4 figures

References in corpus (7)

• Localization of nonlocal theories
• Non-perturbative Gravity, Hagedorn Bounce & CMB
• Dynamics with Infinitely Many Derivatives: The Initial Value Problem
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Stretching the Inflaton Potential with Kinetic Energy
• Cyclic Inflation
• Bouncing and cyclic string gas cosmologies

Cited by in corpus (49)

• Towards singularity and ghost free theories of gravity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Gravitational collapse in f(R) theories
• Ghost-free infinite derivative quantum field theory
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
• Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity
• Nonlocal quantum gravity and M-theory
• Nonlocal gravity and the diffusion equation
• Towards LHC Physics with Non-local Standard Model
• Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
• Fitting formulae for photon spectra from WIMP annihilation
• Photon spectra from WIMP annihilation
• Accretion disks around black holes in modified strong gravity
• Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
• A New Formulation of the Initial Value Problem for Nonlocal Theories
• On the non-attractive character of gravity in f(R) theories
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• Nonlocal star as a blackhole mimicker
• Transmutation of nonlocal scale in infinite derivative field theories
• Finite Temperature Solitons in Non-Local Field Theories from p-Adic Strings
• Generalized ghost-free propagators in nonlocal field theories
• Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
• Detection of branon dark matter with gamma ray telescopes
• The Raychaudhuri equation in homogeneous cosmologies
• Focusing of geodesic congruences in an accelerated expanding Universe
• High-Energy Scatterings in Infinite-Derivative Field Theory and Ghost-Free Gravity
• Impact of DM direct searches and the LHC analyses on branon phenomenology
• Nonlocal generalization of Galilean theories and gravity
• Brane-Worlds at the LHC: Branons and KK-gravitons
• Nonlocal gravity with worldline inversion symmetry
• Cosmological perturbations from statistical thermal fluctuations
• Thermodynamics of String Field Theory Motivated Nonlocal Models
• R^2 Dark Matter
• UV completion of the Starobinsky model, tensor-to-scalar ratio, and constraints on non-locality
• Disformal scalars as dark matter candidates: Branon phenomenology
• Perturbations in higher derivative gravity beyond maximally symmetric spacetimes
• The initial value problem for ordinary differential equations with infinitely many derivatives
• Newtonian Potential and Geodesic Completeness in Infinite Derivative Gravity
• Atick-Witten Hagedorn Conjecture, near scale-invariant matter and blue-tilted gravity power spectrum
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity
• Backreaction mechanism in multifluid and extended cosmologies
• Dark Matter and Higgs Sector
• CPT analysis with top physics
• Non-minimal scalar-tensor theories
• Local and Nonlocal Thermal Field Theory
• A glimpse into the Ultrametric spectrum