TY - JOUR A1 - Pfäffle, Frank A1 - Stephan, Christoph A. T1 - Chiral asymmetry and the spectral action JF - Communications in mathematical physics N2 - We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter. Y1 - 2013 U6 - https://doi.org/10.1007/s00220-012-1641-6 SN - 0010-3616 SN - 1432-0916 VL - 321 IS - 2 SP - 283 EP - 310 PB - Springer CY - New York ER -