Unifying Ghost-Free Lorentz-Invariant Lagrangians
High Energy Physics - Theory
2015-10-23 v2 General Relativity and Quantum Cosmology
Abstract
We present the details of the novel framework for Lagrangian field theories that are Lorentz-invariant and lead to at most second order equations of motion. The use of antisymmetric structure is of crucial importance. The general ghost-free Lagrangians are constructed and then translated into the language of differential forms. The ghost-freeness has a geometric nature. A novel duality is proposed which generalizes the Hodge duality in Maxwell's theory. We discuss how the well-established theories are reformulated and propose many new theories.
Cite
@article{arxiv.1510.05496,
title = {Unifying Ghost-Free Lorentz-Invariant Lagrangians},
author = {Wenliang Li},
journal= {arXiv preprint arXiv:1510.05496},
year = {2015}
}
Comments
15 pages, two columns, v2; references added, typos corrected; discussion improved about graviton kinetic terms