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Main Authors: Tanaka, Masanori, Wang, Jun-Chen, Zhang, Jing-Jun
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.06661
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author Tanaka, Masanori
Wang, Jun-Chen
Zhang, Jing-Jun
author_facet Tanaka, Masanori
Wang, Jun-Chen
Zhang, Jing-Jun
contents We study the impact of primordial black holes (PBHs) on the chiral phase transition and its associated stochastic gravitational-wave (GW) signals. Using the three-flavor Nambu-Jona-Lasinio model, we construct the chiral effective potential in a Schwarzschild spacetime background. We find that PBHs promote chiral symmetry restoration and induce a nontrivial local phase structure in the vicinity of the event horizon simultaneously. In particular, this structure exhibits a novel chiral symmetry breaking pattern involving both second- and first-order phase transitions, a feature absent in flat spacetime. We further demonstrate that PBHs act as genuine catalysts for the chiral phase transition by analyzing the bounce solution in curved spacetime. The presence of PBHs substantially enhances the inverse duration parameter $β/H$ while leaving the overall transition strength comparable to that in flat spacetime. As a consequence, even a small population of PBHs can induce $\mathcal{O}(1)$ shifts in both the peak frequency and the peak amplitude of the GW spectrum generated by the first-order dark chiral phase transition.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06661
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Chiral phase transition with primordial black holes: Distinct phase structure and catalysis
Tanaka, Masanori
Wang, Jun-Chen
Zhang, Jing-Jun
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
We study the impact of primordial black holes (PBHs) on the chiral phase transition and its associated stochastic gravitational-wave (GW) signals. Using the three-flavor Nambu-Jona-Lasinio model, we construct the chiral effective potential in a Schwarzschild spacetime background. We find that PBHs promote chiral symmetry restoration and induce a nontrivial local phase structure in the vicinity of the event horizon simultaneously. In particular, this structure exhibits a novel chiral symmetry breaking pattern involving both second- and first-order phase transitions, a feature absent in flat spacetime. We further demonstrate that PBHs act as genuine catalysts for the chiral phase transition by analyzing the bounce solution in curved spacetime. The presence of PBHs substantially enhances the inverse duration parameter $β/H$ while leaving the overall transition strength comparable to that in flat spacetime. As a consequence, even a small population of PBHs can induce $\mathcal{O}(1)$ shifts in both the peak frequency and the peak amplitude of the GW spectrum generated by the first-order dark chiral phase transition.
title Chiral phase transition with primordial black holes: Distinct phase structure and catalysis
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.06661