A Note on Weyl invariance in gravity and the Wess-Zumino functional
High Energy Physics - Theory
2016-07-22 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
It is shown that the explicit calculation of the Wess-Zumino functional pertaining to the breaking term of the Weyl symmetry for the Einstein-Hilbert action allows to restore the Weyl symmetry by introducing the extra dilaton field as Goldstone field. Adding the Wess-Zumino counter-term to the Einstein-Hilbert action reproduces the usual Weyl invariant action used in standard literature. Further consideration might confer to the Einstein-Hilbert action a new status.
Cite
@article{arxiv.1607.06326,
title = {A Note on Weyl invariance in gravity and the Wess-Zumino functional},
author = {J. Attard and S. Lazzarini},
journal= {arXiv preprint arXiv:1607.06326},
year = {2016}
}
Comments
Contribution to the Special Issue 'Memoriam Raymond Stora', devoted to "Mathematical Foundations of Quantum Field Theory", Nucl. Phys. B