Orateur
Description
Lattice QCD simulations with real rotation suffer from the sign problem, which can be avoided by introducing an imaginary angular velocity. Motivated by this, we study interacting quark matter in the linear sigma model under imaginary rotation, $\Omega = i\Omega_I$, and determine its thermodynamic properties and phase diagram. We show that the fractalization previously identified for free massless fermions persists in the interacting massive case and has nontrivial consequences for the phase structure in the far-field limit. For rational frequencies, $\nu = \beta \Omega_I / (2 \pi) = \mathsf{p} / \mathsf{q}$, the system exhibits ninionic statistics, interpolating between fermionic and bosonic behavior according to the parity of $\mathsf{k} = \mathsf{p} + \mathsf{q}$. On the rotation axis, we identify crossover, first-order, and no-transition regimes depending on $\nu$, and we further study how the phase structure evolves at intermediate distances from the rotation axis toward the far-field regime. Finally, we investigate the moment of inertia and compare the resulting behavior with lattice QCD studies of matter under imaginary rotation.
| Working Group | WG4. QCD models and non-perturbative QCD |
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| Type of oral contribution | Theory |