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SUMMARY:Dominic G. Lewis (Royal Melbourne Institute of Technology)
DTSTART:20230516T070000Z
DTEND:20230516T090000Z
DTSTAMP:20260419T093032Z
UID:3cqfs/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/3cqfs/5/">Ba
 ndlimitation\, wavelets\, and scaled QFT</a>\nby Dominic G. Lewis (Royal M
 elbourne Institute of Technology) as part of Tricontinental Quantum Fundam
 entals Seminar\n\n\nAbstract\nThe likely presence of a fundamental minimum
  length scale to the universe (motivated by generalised uncertainty princi
 ples and UV divergences in quantum field theory to name a few) has led to 
 the application of information theoretic techniques such as bandlimitation
  to quantum field theory\, allowing for field theories to be represented a
 s simultaneously continuous and discrete through Shannon theory.\n\nWe ext
 end on this notion by showing that non-bandlimited quantum field theories 
 can be decomposed into bandlimited ones\, called scales\, using Shannon wa
 velets. Each scale of the wavelet decomposition gives a field theory posse
 ssing an ultraviolet cut-off (and infrared cut-off) and\, as a result\, an
  equivalent discrete theory. As such\, one can use wavelets to decompose a
 n $N+1$ dimensional continuous field theory into a $2N+1$ dimensional disc
 rete theory (where the scale of the wavelet decomposition is treated as a 
 spatial dimension).\n\nLinked paper only covers the first (bandlimitation)
  part of the talk and not wavelets\, which will be included in a future pa
 per.\n
LOCATION:https://researchseminars.org/talk/3cqfs/5/
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