A polynomial action for gravity with matter, gauge-fixing and ghosts
General Relativity and Quantum Cosmology
2015-12-29 v1
Abstract
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.
Cite
@article{arxiv.1512.08460,
title = {A polynomial action for gravity with matter, gauge-fixing and ghosts},
author = {Igor Khavkine},
journal= {arXiv preprint arXiv:1512.08460},
year = {2015}
}
Comments
Based on a talk given at the 20th International Summer School on Global Analysis and its Applications, Stara Lesna, Slovakia (August, 2015)