Quantum projective field theory: Quantum-field analogs of the Euler formulas

Quantum-field analogs of Euler's formulas for rotation of a rigid body around a fixed axis in projective ($\operatorname{sl}(2,\mathbb{C})$-invariant) field theory on the Riemann sphere are presented. A class of quasistationary angular fields, the analogs of the angular velocity, is introduced. A sufficient condition for quasistationarity is obtained.