Fermion Interactions, Cosmological Constant and Space-Time Dimensionality in a Unified Approach Based on Affine Geometry

摘要: One of the main features unified models, based on affine geometries, is that all possible interactions and fields naturally arise under same standard. Here, we consider, from effective Lagrangian theory, torsion induced 4-fermion interaction. In particular, how this interaction affects cosmological term, supposing a condensation occurs for quark during quark-gluon/hadron phase transition in early universe. We explicitly show there no parity-violating pseudo-scalar density, dual to curvature tensor (Holst term) spinor-bilinear scalar density has mixed couplings A-V form. On other hand, space-time dimensionality cannot be constrained multidimensional phenomenological models admitting torsion.