Classical Space Times from S Matrices
APA
Rothstein, I. (2013). Classical Space Times from S Matrices. Perimeter Institute. https://pirsa.org/13110053
MLA
Rothstein, Ira. Classical Space Times from S Matrices. Perimeter Institute, Nov. 26, 2013, https://pirsa.org/13110053
BibTex
@misc{ pirsa_PIRSA:13110053, doi = {10.48660/13110053}, url = {https://pirsa.org/13110053}, author = {Rothstein, Ira}, keywords = {Particle Physics}, language = {en}, title = {Classical Space Times from S Matrices}, publisher = {Perimeter Institute}, year = {2013}, month = {nov}, note = {PIRSA:13110053 see, \url{https://pirsa.org}} }
Carnegie Mellon University
Collection
Talk Type
Subject
Abstract
Progress
in calculating S matrix elements have shown that
the malicious redundancies in non-linear
gauge
theories can be circumvented by utilizing unitarity methods in
conjunction
with BCFW recursion relations. When calculating in this fashion all
of the interaction vertices
beyond the three point function can be ignored. This simplification is
especially useful in gravity
which contains an infinite number of such non-linear interactions. It is natural to
ask whether off-shell quantities, such as classical solutions, can also be generated using only the three point
vertex. In this
talk
I will show that this is indeed the case by extracting classical solutions to
GR from on-hell two to two scattering S-matrix elements. In
so doing we will completely circumvent the action as well as the equations
of motion. The only inputs will be Lorentz invariance, the existence of a massless spin-two particle and locality. Because of the double copy
relation this implies there exists, a yet to be understood, connection between solutions to Yang-Mills theory and Gravity. I
will also
discuss
how this technique can be used to simplify calculations of higher order post-Newtonian corrections
to
gravitational potentials relevant to the problem of binary inspirals.