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SUMMARY:Lorentz and permutation invariants of particles - Ward Haddadin (U
 niversity of Cambridge)
DTSTART:20200206T160000Z
DTEND:20200206T170000Z
UID:TALK138367@talks.cam.ac.uk
CONTACT:Joseph Davighi
DESCRIPTION:A theorem of Weyl tells us that the Lorentz (and parity) invar
 iant polynomials in the momenta of n particles are generated by the dot pr
 oducts. We extend this result to include the action of an arbitrary permut
 ation group P ⊂ Sn on the particles\, to take account of the quantum-fie
 ld-theoretic fact that particles can be indistinguishable. Doing so provid
 es a convenient set of variables for describing scattering processes invol
 ving identical particles\, such as pp → jjj\, for which we provide an ex
 plicit set of Lorentz and permutation\ninvariant generators. We also addre
 ss the issues of redundancies among the generators\, such as those that ar
 ise when n exceeds the spacetime dimension.
LOCATION:MR19 (Potter Room\, Pavilion B)\, CMS
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