2020 journal article

Quantum distillation in QCD

PHYSICAL REVIEW D, 102(3).

co-author countries: Japan ๐Ÿ‡ฏ๐Ÿ‡ต United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 31, 2020

We propose a grading protocol that assigns global symmetry associated phases to states in the Hilbert space. Without modifying the Hilbert space, this changes the state sum, a process that we call quantum distillation. We describe the image of quantum distillation in terms of (nondynamical) flavor holonomy dependence of (dynamical) gauge-holonomy potentials, in QCD with ${N}_{f}={N}_{c}$ fundamental and one massive adjoint fermion on ${\mathbb{R}}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{1}$. The compactified theory possesses an exact zero-form color-flavor center symmetry for a special choice of flavor holonomy (under which Polyakov loop is charged), despite the absence of one-form center symmetry. We prove that the color-flavor center symmetry is stable at small $\ensuremath{\beta}$. This is the opposite of the high-temperature limit of thermal theory and a dramatic manifestation of quantum distillation. We show chiral symmetry breaking at small ${S}^{1}$ and that the vacuum structure of the theory on ${\mathbb{R}}^{4}$ and ${\mathbb{R}}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{1}$ are controlled by the same mixed 't Hooft anomaly condition.