Work

Bootstrapping gauge theories

Year: 2024

Type: article

Abstract: We consider asymptotically free gauge theories with gauge group S U ( N c ) and N f quarks with mass m q ≪ Λ QCD 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 N c = 3 , N f = 2 , a numerical implementation of the method gives the phase shifts of the S 0 , P 1 and S 2 waves in good agreement with experimental results. The method incorporates gauge theory information ( N c , N f , m q , Λ QCD ) by using the form-factor bootstrap recently proposed by Karateev, Kuhn and Penedones together with a finite energy version of the Shifman-Vainshtein-Zakharov (SVZ) sum rules. At low energy we impose constraints from chiral symmetry breaking. The only low-energy numerical inputs are the pion mass m π and the quark and gluon condensates. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.096001

Authors: Yifei He, Martin Kruczenski

Institutions: École Normale Supérieure - PSL, Laboratoire de Physique de l'Ecole Normale Supérieure, Purdue University West Lafayette

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: U.S. Department of Energy

Award: AN EXPERIMENTAL AND THEORETICAL HIGH ENERGY PHYSICS PROGRAM