Gravity EFT

Framework:

Vielbein (Tetrad) formalism to connect curved spacetime to flat spacetime.

R. Penrose, W. Rindler, Spinors and space-time. Vol. 1, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge, 1987.

A. Ashtekar, Lectures on non-perturbative canonical gravity, Advanced Series in Astrophysics and Cosmology, World Scientific, Singapore, 1991.

Comments on the Tetrad (Vielbeins). arxiv

Gravity EFT: low energy theory of quantum gravity

  • Introduction to the effective field theory description of gravity, arxiv

  • The effective field theory treatment of quantum gravity, arxiv

  • Effective theory for quantum gravity, arxiv

  • On the covariant formalism of the effective field theory of gravity and leading order corrections, arxiv

  • EPFL Lectures on General Relativity as a Quantum Field Theory, arxiv

  • Low Energy Theorems of Quantum Gravity from Effective Field Theory, arxiv

  • Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory, arxiv

  • GRLEFT, GRSMEFT, Effective Field Theory of Gravity to All Orders, arxiv

Gravity Calculation:

xact:

  • Spinors: a Mathematica package for doing spinor calculus in General Relativity, arxiv

  • The Invar Tensor Package, arxiv

  • xPerm: fast index canonicalization for tensor computer algebra, arxiv

  • The Invar tensor package: Differential invariants of Riemann, arxiv

Cadabra:

  • Using Cadabra for tensor computations in General Relativity. arxiv

  • A brief introduction to Cadabra: a tool for tensor computations in General Relativity, arxiv

  • Introducing Cadabra: a symbolic computer algebra system for field theory problems, arxiv