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SUMMARY:Francesco Fidaleo (Università di Roma "Tor Vergata")
DTSTART:20220413T190000Z
DTEND:20220413T200000Z
DTSTAMP:20260420T052852Z
UID:NYC-NCG/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/90/"
 >Spectral actions for q-particles and their asymptotic (Part II)</a>\nby F
 rancesco Fidaleo (Università di Roma "Tor Vergata") as part of Noncommuta
 tive geometry in NYC\n\n\nAbstract\nFor spectral actions made of the avera
 ge number of particles and arising from open systems made of general free 
 $q$-particles (including Bose\, Fermi and classical ones corresponding to 
 $q=\\pm1$ and $0$\, respectively) in thermal equilibrium\, we compute the 
 asymptotic expansion with respect to the natural cut-off. We treat both re
 levant situations relative to massless and massive particles\, where the n
 atural cut-off is $1/\\beta=k_{\\rm B}T$ and $1/\\sqrt{\\beta}$\, respecti
 vely.  \nWe show that the massless situation enjoys less regularity proper
 ties than the massive one. We also consider the passage to the continuum d
 escribing infinitely extended open systems in thermal equilibrium. We brie
 fly discuss the appearance of condensation phenomena occurring for Bose-li
 ke $q$-particles\, for which $q\\in(0\,1]$\, after passing to the continuu
 m. We also compare the arising results for the finite volume situation (di
 screte spectrum) with the corresponding infinite volume one (continuous sp
 ectrum).\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/90/
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