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We derive the most general effective low-energy potential to order O(1/m) forslow Dirac fermions with mass m, coupled to gravitational, chameleon andtorsion fields in the Einstein-Cartan gravity. The obtained results can beapplied to the experimental analysis of gravitational, chameleon and torsioninteractions in terrestrial laboratories. We discuss the use of rotatingcoordinate systems, caused by rotations of devices, for measurements of thetorsion vector and tensor components, caused by minimal torsion--fermioncouplings (Ivanov and Wellenzohn, Phys. Rev. D92, 065006 (2015)). Using themost general form of a metric tensor of curved spacetimes in rotatingcoordinate systems, proposed by Obukhov, Silenko, and Teryaev (Phys. Rev. D84,024025 (2011)), we extend this metric by the inclusion of the chameleon fieldand calculate the set of vierbein fields, in terms of which Dirac fermionscouple to torsion vector and tensor components through minimal torsion-fermioncouplings. For such a set of vierbein fields we discuss a part of the effectivelow-energy potential for slow Dirac fermions, coupled to gravitational,chameleon and torsion fields to order O(1) in the large fermion mass expansion.

Effective Low-Energy Potential for Slow Dirac Fermions in Einstein-Cartan Gravity with Torsion and Chameleon