A polynomial action for gravity with matter, gauge-fixing and ghosts

Research paper by Igor Khavkine

Indexed on: 28 Dec '15Published on: 28 Dec '15Published in: General Relativity and Quantum Cosmology


We give a variational formulation of General Relativity, with coupling to a cosmological constant, to scalar fields, to vector fields and to spinor fields (all with possible mass and interaction terms). Among the matter fields, we include ghosts corresponding to diffeomorphism and Yang-Mills gauge symmetries, with kinetic terms given by gauge fixing conditions leading to hyperbolic equations of motion for all fields. The distinguishing characteristic of our Lagrangian density is its polynomiality, in all dynamical fields and Lagrange multipliers, and its validity for any number of spacetime dimensions.