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UID:0-1136@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20261110T110000
DTEND;TZID=Europe/Paris:20261110T120000
DTSTAMP:20261103T130510Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/lptms-seminar-fel
 ix-rose-lptm-cergy-pontoise/
SUMMARY:LPTMS Seminar: Félix Rose - Salle des séminaires du FAST et du LP
 TMS\, bâtiment Pascal n°530 - 10 Nov 26 11:00
DESCRIPTION:Operator product expansion coefficients from the functional ren
 ormalization group\nFélix Rose (LPTM\, Cergy-Pontoise)\n&nbsp\;\n\nIn a q
 uantum field theory\, the product of two operators in the short distance l
 imit can be expressed as a sum of operators multiplied by functions (when 
 inserted in any correlation function).\nThis so-called operator product ex
 pansion (OPE) is of fundamental importance in the study of conformal field
  theories (CFTs) in two and higher dimensions. There\, due to the the conf
 ormal symmetry\, the OPE of two operators is uniquely determined by a set 
 of numbers\, the OPE (or Wilson) coefficients [1].\n\nThe determination of
  these coefficients has generated recent interest\, with approaches from c
 onformal bootstrap or the fuzzy sphere [3].\nHere\, we are interested in s
 tudying these coefficients using the non-perturbative functional renormali
 zation group (FRG). The FRG is a versatile method\, used in high-energy\, 
 condensed matter and statistical physics\, particularly well-suited to det
 ermining universal quantities of critical and near-critical systems.\n\nSo
  far\, the FRG has been able to determine with great quantitative precisio
 n c112\, the leading order coefficient of the OPE of ϕ and ϕ\, for the 3
 d O(N) models and the Ising model in dimensions 2&lt\;=d&lt\;=4 [2]. The m
 ethod used\, however\, cannot be directly applied to other coefficients. H
 ere\, we review these results and present a different approach that can be
  used to determine arbitrary coefficients\, which relies on finding the fi
 xed point for the flow equation in presence of a source coupled to a compo
 site operator\, as recently proposed in Refs. [4].\n\n[1] Di Francesco\, M
 athieu\, and Sénéchal\, Conformal Field Theory (Springer New York\, 1997
 ).\n[2] Rose\, Pagani\, and Dupuis\, Phys. Rev. D 105\, 065020 (2022).\n[3
 ] Zhu\, Han\, Huffman\, Hofmann\, and He. Phys. Rev. X 13\, 021009 (2023)\
 ; Hu\, He\, and Zhu\,\nPhys. Rev. Lett. 131\, 031601 (2023).\n[4] Delamott
 e\, De Polsi\, Tissier\, and Wschebor. Phys. Rev. E 109 064152 (2024)\; Ca
 brera\, De Polsi\, Wschebor. Phys. Rev. E 111 054126 (2025).
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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DTSTART:20261025T020000
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TZOFFSETTO:+0100
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