Chiral Doubling, Renormalization Group Fixed Points, and Dense Matter Equations of State
Abstract
We review a top-down fixed-point-extrapolation paradigm as a unified effective field theory framework for hadronic spectroscopy, dense baryonic matter, and compact star physics. By formulating our effective Lagrangian directly at renormalization group (RG) fixed points and introducing minimal symmetry breaking, we extrapolate the theory back to physical environments. In the vacuum, this framework naturally reproduces the heavy-light meson parity-doubling spectrum via light vector meson loops. In dense matter, the interplay between the chiral-invariant nucleon mass m0 and walking vector couplings reconciles gravitational-wave constraints with 2M⊙ massive neutron stars. Generalization to a quark-hadron hybrid approach further illuminates sequential deconfinement, core stability, and baryon number fluctuations, demonstrating how underlying RG fixed points dictate hadronic dynamics from vacuum to neutron star interiors.
Related
- Deciphering Matter Invariants via Renormalization Group Equations for Neutrino Oscillations
- Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
- Fixed points of the CKM matrix renormalization group running to all orders in perturbation theory
- Cluster Representation of Renormalization Group Transformations and a Rigorous Proof for Convergence of the RG-Flow of the Ising Model to Trivial Fixed Points away from Criticality
- Renormalization-Group Fixed Points Not Associated with Universality Classes
BibTeX
@misc{sasaki2026chiral,
title = {{Chiral Doubling, Renormalization Group Fixed Points, and Dense Matter Equations of State}},
author = {Chihiro Sasaki},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07190},
eprint = {2609.07190},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07190},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Chiral Doubling, Renormalization Group Fixed Points, and Dense Matter Equations of State
AU - Chihiro Sasaki
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2609.07190
UR - https://arxiv.org/abs/2609.07190
AB - We review a top-down fixed-point-extrapolation paradigm as a unified effective field theory framework for hadronic spectroscopy, dense baryonic matter, and compact star physics. By formulating our effective Lagrangian directly at renormalization group (RG) fixed points and introducing minimal symmetry breaking, we extrapolate the theory back to physical environments. In the vacuum, this framework naturally reproduces the heavy-light meson parity-doubling spectrum via light vector meson loops. In dense matter, the interplay between the chiral-invariant nucleon mass m0 and walking vector couplings reconciles gravitational-wave constraints with 2M_⊙ massive neutron stars. Generalization to a quark-hadron hybrid approach further illuminates sequential deconfinement, core stability, and baryon number fluctuations, demonstrating how underlying RG fixed points dictate hadronic dynamics from vacuum to neutron star interiors.
ER -