Digital Repository

Classifying and constraining local four photon and four graviton S-matrices

Show simple item record Chowdhury, Subham Dutta en_US Gadde, Abhijit en_US GOPALKA, TUSHAR en_US Halder, Indranil en_US Janagal, Lavneet en_US Minwalla, Shiraz en_US 2020-03-20T11:22:22Z 2020-03-20T11:22:22Z 2020-02 en_US
dc.identifier.citation Journal of High Energy Physics, 2020(2). en_US
dc.identifier.issn 1029-8479 en_US
dc.identifier.uri en_US
dc.description.abstract We study the space of all kinematically allowed four photon and four graviton S-matrices, polynomial in scattering momenta. We demonstrate that this space is the permutation invariant sector of a module over the ring of polynomials of the Mandelstam invariants s, t and u. We construct these modules for every value of the spacetime dimension D, and so explicitly count and parameterize the most general four photon and four graviton S-matrix at any given derivative order. We also explicitly list the local Lagrangians that give rise to these S-matrices. We then conjecture that the Regge growth of S-matrices in all physically acceptable classical theories is bounded by s2 at fixed t. A four parameter subset of the polynomial photon S-matrices constructed above satisfies this Regge criterion. For gravitons, on the other hand, no polynomial addition to the Einstein S-matrix obeys this bound for D ≤ 6. For D ≥ 7 there is a single six derivative polynomial Lagrangian consistent with our conjectured Regge growth bound. Our conjecture thus implies that the Einstein four graviton S-matrix does not admit any physically acceptable polynomial modifications for D ≤ 6. A preliminary analysis also suggests that every finite sum of pole exchange contributions to four graviton scattering also violates our conjectured Regge growth bound, at least when D ≤ 6, even when the exchanged particles have low spin. en_US
dc.language.iso en en_US
dc.publisher Springer Nature en_US
dc.subject Classical Theories of Gravity en_US
dc.subject Scattering Amplitudes en_US
dc.subject Conformal Field Theory en_US
dc.subject Effective Field Theories en_US
dc.subject TOC-MAR-2020 en_US
dc.subject 2020 en_US
dc.subject 2020-MAR-WEEK3 en_US
dc.title Classifying and constraining local four photon and four graviton S-matrices en_US
dc.type Article en_US
dc.contributor.department Dept. of Physics en_US
dc.identifier.sourcetitle Journal of High Energy Physics en_US
dc.publication.originofpublisher Foreign en_US

Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Repository

Advanced Search


My Account