Anomaly-induced vacuum effective action with torsion: Covariant solution and ambiguities

The conformal anomaly in curved spacetime with antisymmetric torsion is reconsidered, taking into account new important details. We formulate, for the first time, covariant solution of anomaly-induced effective action. action includes local terms corresponding to total derivatives anomaly. contribution massless fermions these characterized by multiplicative anomaly, coming from two different choices doubling spinor operator. On other hand, nonlocal part free ambiguities and admits a low-energy limit, similar potential metric-scalar theory.