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- Classical Space Times from S Matrices

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PIRSA Number:

13110053

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.

©2012 Perimeter Institute for Theoretical Physics