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Bootstrapping gauge theories (QCD)

Yifei He · CERN

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About

We consider asymptotically free gauge theories with gauge group SU(Nc) and Nf quarks with mass mq << LambdaQCD that undergo chiral symmetry breaking and confinement. We propose a bootstrap method to compute the S-matrix of the pseudo-Goldstone bosons (pions) that dominate the low energy physics. For the important case of Nc = 3, Nf = 2, a numerical implementation of the method gives the phase shifts of the S0, P1 and S2 waves in good agreement with experimental results. The method incorporates gauge theory information (Nc, Nf, mq, LambdaQCD) by using the form-factor bootstrap recently proposed by Karateev, Kuhn and Penedones together with a finite energy version of the SVZ sum rules. At low energy we impose constraints from chiral symmetry breaking. The only low energy numerical inputs are the pion mass and the quark and gluon condensates. Based on 2309.12402 with Martin Kruczenski. .

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The talk

  1. Bootstrapping gauge theories (QCD) 2023-10-24 · 52 min · CERN's player

Credits and licence

Institution
CERN
Department
TH String Theory Seminar
Speaker
Yifei He
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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