BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Markov property for \\varphi^4_3 on cylinders - Trishen Gunar
 atnam (TIFR Mumbai and ICTS Bangalore)
DTSTART:20251118T140000Z
DTEND:20251118T150000Z
UID:TALK240544@talks.cam.ac.uk
CONTACT:Pierre-François Rodriguez
DESCRIPTION:In the '60s and '70s\, Nelson proved that the Markov property 
 for Euclidean random fields\, such as the Gaussian Free Field\, is suffic
 ient to reconstruct quantum fields on Minkowski space. Despite overwhelmin
 g success in 2d to analyse non-gaussian fields\, this approach is notoriou
 sly difficult to carry out in 3d. Softer methods exist\, but they often gi
 ve an implicit description of fundamental objects -- such as the Hamiltoni
 an of the theory.  \n\nI will talk about joint work with Nikolay Barashko
 v where we give the first proof of the Markov property for one the simples
 t 3d non-gaussian models -- the $\\varphi^4_3$ model on cylinders. Along t
 he way\, we establish a stronger property that is a toy version of Segal's
  axioms\, allowing us to glue different $\\varphi^4_3$ models by integrati
 ng along an appropriate boundary measure. As an application\, we prove nov
 el fundamental spectral properties of the $\\varphi^4_3$ Hamiltonian.
LOCATION:MR12
END:VEVENT
END:VCALENDAR