# Dense QCD(-like) Matter in Strong Magnetic Fields

## TL;DR

This paper demonstrates that a chiral soliton lattice phase, previously identified in dense QCD matter under strong magnetic fields, also exists in QCD-like theories accessible to lattice simulations, with potential implications for neutron stars and gravitational waves.

## Contribution

It extends the existence of the chiral soliton lattice phase to QCD-like theories that are simulatable on the lattice, bypassing the sign problem present in real QCD.

## Key findings

- Chiral soliton lattice phase exists in QCD-like theories under strong magnetic fields.
- The phase's presence can be studied using standard lattice Monte-Carlo methods.
- Potential relevance of the phase for neutron star physics and gravitational wave signals.

## Abstract

As recently shown, the ground state of dense QCD matter in a strong magnetic field is an inhomogeneous condensate of neutral pions which was named Chiral Soliton Lattice (CSL) phase in analogy with a state present for chiral magnets. We continue this work by showing that similar phase is present for a class of QCD-like theories which are accessible to standard lattice Monte-Carlo simulations unlike the QCD itself which suffers from the notorious sign problem if non-zero baryon chemical potential is considered. On the occasion of the Gravitation session of the Moriond conference we also briefly comment on the possible relevance of the CSL phase for neutron stars and gravitational wave observations.