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SUMMARY:Some steps toward exact critical RG fixed point
DTSTART:20260115T093000
DTEND:20260115T101000
DTSTAMP:20260406T194549Z
UID:51ef0f46edac0a5367cfa91881d89260fd0fa2410607f9a77a2aabcc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nikolay Ebel\nIs there an exact (truncation-free) tensor RG ma
 p that has a fixed point corresponding to the 2D critical Ising model and 
 is well-defined in its neighborhood? In this talk\, I will review two rece
 ntly developed techniques that make this question approachable: rotation-m
 odified RG maps and hat-tensors. First\, I will explain how incorporating 
 rotation into the RG map enables the use of the Newton method. This allows
  for a more efficient numerical search for tensor RG fixed points and pave
 s the way for applying the Earle-Hamilton theorem to prove the existence o
 f fixed points. Then\, I will present hat-tensors and hat-RG maps\, which 
 allow us to track finite-dimensional “bounding boxes” for infinite-dim
 ensional tensors. The talk is based on [2408.10312] and [2506.03247].  
LOCATION:Bernouilli Center - GA 3 21 https://plan.epfl.ch/?room==GA%203%20
 21
STATUS:CONFIRMED
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