Acceleration and rotation in quantum statistical theory

The derivation of fundamental effects related to the rotation and acceleration of a medium consisting of relativistic particles based on quantum-statistical approaches is presented. The Unruh effect for an accelerated medium is derived based on the Zubarev density operator. A nonperturbative formula is obtained for the chiral vortical effect (CVE) in a medium with vorticity at a finite mass based on a generalization of the first terms of the quantum-field perturbation theory calculated using the statistical operator. Various corrections to these effects in higher orders in acceleration and vorticity were found. The concept of vorticity and acceleration as new real and imaginary chemical potentials is substantiated. The duality of the quantum-statistical Zubarev density operator and quantum field theory in a space-time with a conical singularity is revealed and shown by the example of the correspondence of quantum corrections with acceleration in two approaches. The consequences of this duality for both methods are investigated. A new effect related to thermodynamic instability at the Unruh temperature is shown. (paper)