PIRSA:13110053

Classical Space Times from S Matrices

Rothstein, I. (2013). Classical Space Times from S Matrices. Perimeter Institute. https://pirsa.org/13110053

Rothstein, Ira. Classical Space Times from S Matrices. Perimeter Institute, Nov. 26, 2013, https://pirsa.org/13110053 

          @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}}
          }

Ira Rothstein Carnegie Mellon University

DOI 10.48660/13110053
Collection
Talk Type Scientific Series
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.