Revisiting QCD-induced little inflation with chiral density wave state and its implications on pulsar timing array gravitational-wave signals

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Auteurs principaux: Jung, Tae Hyun, Kim, Seyong, Lee, Jong-Wan, Shin, Chang Sub, Yang, Hee Beom
Format: Preprint
Publié: 2026
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author Jung, Tae Hyun
Kim, Seyong
Lee, Jong-Wan
Shin, Chang Sub
Yang, Hee Beom
author_facet Jung, Tae Hyun
Kim, Seyong
Lee, Jong-Wan
Shin, Chang Sub
Yang, Hee Beom
contents We revisit QCD-induced little inflation in which the Universe starts with a large baryon chemical potential and undergoes a strong first-order QCD phase transition, generating an observable stochastic gravitational-wave background in the nano-Hz range relevant for pulsar timing array (PTA) observations. We point out that the conventional homogeneous transition from the quark-gluon plasma phase to the hadronic gas phase faces an unavoidable difficulty in achieving the required strength of supercooling for the observed baryon density. This motivates us to explore whether a qualitatively different phase structure at a large baryon chemical potential can alter the relation between the baryon density and the chemical potential, and thereby modify the supercooling history of the transition. Using the nucleon-meson model with isoscalar vector mesons, we determine the critical and spinodal structure of the chiral density wave (CDW) phase in the $(μ_B, T)$ plane. We find that the CDW phase exhibits a nontrivial structure and can remain metastable down to a low baryon density in a certain region of the parameter space. Taking into account the subsequent liquid-gas transition and phase separation, however, the released latent heat is too small to realize a viable QCD-induced little inflation scenario and its associated PTA-scale gravitational-wave signal. Our analysis sharpens the conditions under which QCD phase transitions may act as cosmological sources of nano-Hz gravitational waves, while clarifying the possible cosmological relevance of inhomogeneous QCD phases.
format Preprint
id arxiv_https___arxiv_org_abs_2603_29772
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Revisiting QCD-induced little inflation with chiral density wave state and its implications on pulsar timing array gravitational-wave signals
Jung, Tae Hyun
Kim, Seyong
Lee, Jong-Wan
Shin, Chang Sub
Yang, Hee Beom
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Nuclear Theory
We revisit QCD-induced little inflation in which the Universe starts with a large baryon chemical potential and undergoes a strong first-order QCD phase transition, generating an observable stochastic gravitational-wave background in the nano-Hz range relevant for pulsar timing array (PTA) observations. We point out that the conventional homogeneous transition from the quark-gluon plasma phase to the hadronic gas phase faces an unavoidable difficulty in achieving the required strength of supercooling for the observed baryon density. This motivates us to explore whether a qualitatively different phase structure at a large baryon chemical potential can alter the relation between the baryon density and the chemical potential, and thereby modify the supercooling history of the transition. Using the nucleon-meson model with isoscalar vector mesons, we determine the critical and spinodal structure of the chiral density wave (CDW) phase in the $(μ_B, T)$ plane. We find that the CDW phase exhibits a nontrivial structure and can remain metastable down to a low baryon density in a certain region of the parameter space. Taking into account the subsequent liquid-gas transition and phase separation, however, the released latent heat is too small to realize a viable QCD-induced little inflation scenario and its associated PTA-scale gravitational-wave signal. Our analysis sharpens the conditions under which QCD phase transitions may act as cosmological sources of nano-Hz gravitational waves, while clarifying the possible cosmological relevance of inhomogeneous QCD phases.
title Revisiting QCD-induced little inflation with chiral density wave state and its implications on pulsar timing array gravitational-wave signals
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
Nuclear Theory
url https://arxiv.org/abs/2603.29772