Chiral-Scale Perturbation Theory About an Infrared Fixed Point

Crewther, R.J.; Tunstall, Lewis (9 June 2014). Chiral-Scale Perturbation Theory About an Infrared Fixed Point. EPJ web of conferences, 73(03006), 03006. EDP Sciences 10.1051/epjconf/20147303006

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We review the failure of lowest order chiral SU(3)L ×SU(3)R perturbation theory χPT3 to account for amplitudes involving the f0(500) resonance and O(mK) extrapolations in momenta. We summarize our proposal to replace χPT3 with a new effective theory χPTσ based on a low-energy expansion about an infrared fixed point in 3-flavour QCD. At the fixed point, the quark condensate ⟨q̅q⟩vac ≠ 0 induces nine Nambu-Goldstone bosons: π,K,η and a QCD dilaton σ which we identify with the f0(500) resonance. We discuss the construction of the χPTσ Lagrangian and its implications for meson phenomenology at low-energies. Our main results include a simple explanation for the ΔI = 1/2 rule in K-decays and an estimate for the Drell-Yan ratio in the infrared limit.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Tunstall, Lewis

Subjects:

500 Science > 530 Physics

ISSN:

2100-014X

Publisher:

EDP Sciences

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

19 Dec 2014 10:29

Last Modified:

26 Jun 2016 01:56

Publisher DOI:

10.1051/epjconf/20147303006

BORIS DOI:

10.7892/boris.60927

URI:

https://boris.unibe.ch/id/eprint/60927

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