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SUMMARY:One-loop $\\kappa$-Poincar{\\'e} invariant QFTs with KMS weight
DTSTART;VALUE=DATE-TIME:20190423T120000Z
DTEND;VALUE=DATE-TIME:20190423T130000Z
DTSTAMP;VALUE=DATE-TIME:20200711T214524Z
UID:indico-event-19059@indico.in2p3.fr
DESCRIPTION:The $\\kappa$-deformation which turns the Poincar{\\'e} algebr
a into a quantum group has been widely studied over the past 30 years. The
main reason is that the $\\kappa$-Poincar{\\'e} algebra describes the sym
metries of a quantum spacetime which arises as a limit of quantum gravity.
Although the classical properties of field theory built on this quantum s
pacetime have been widely studied\, it was only recently that significant
progress was made in the understanding of their quantum properties. After
a general introduction\, I will present the computation of the one-loop 2-
point and 4-point functions for various models of $\\kappa$-Poincar{\\'e}
invariant scalar field theory with quartic interactions whose low-energy l
imit ($\\kappa\\to\\infty$) coincides with the ordinary $\\phi^4$-model on
Minkowski spacetime. The computation is performed using a star product ob
tained from mere adaptation of the Weyl quantisation scheme. For one model
\, the one-loop 4-point function is found to be finite. As a major concept
ual result\, I will show that requiring the $\\kappa$-Poincar{\\'e} invari
ance forces the integral involved in the action functional to be a twisted
trace\, thus defining a KMS weight for the C*-algebra modelling the qua
ntum spacetime. Finally\, phenomenological implications of these results\,
together with the possibility to constrain these models by exploiting cos
mological data -- such as $\\gamma$-ray burst --\, will be discussed.\n\nh
ttps://indico.in2p3.fr/event/19059/
LOCATION:LAPTh Auditorium Vivargent
URL:https://indico.in2p3.fr/event/19059/
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