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SUMMARY:Junchen Rong: Local conformal field theory from long range perturb
ation theory
DTSTART:20240917T083000Z
DTEND:20240917T093000Z
DTSTAMP:20241015T000600Z
UID:indico-event-12301@indico.math.cnrs.fr
DESCRIPTION:Conformal field theory (CFT) plays a crucial role in understan
ding phase transitions\, whether quantum or statistical. Typically\, CFTs
are studied using perturbative methods\, such as the 4-epsilon expansion a
nd the large N expansion. In this talk\, I will introduce an alternative a
pproach: a fixed-dimensional perturbation theory that incorporates long-ra
nge\, non-local interactions. I will demonstrate that by imposing the conf
ormal Ward Identity\, it is possible to recover the data of local CFTs. By
re-summing the perturbative series using long-range solitons (solutions t
o the nonlinear equation of motion with fractional Laplacian)\, we obtain
impressive results for the critical exponents.\n\nhttps://indico.math.cnrs
.fr/event/12301/
URL:https://indico.math.cnrs.fr/event/12301/
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