Large \(N_ c\) in chiral perturbation theory

DOI10.1007/s100520000499zbMath1082.81520arXivhep-ph/0007101OpenAlexW1504884487MaRDI QIDQ1586956

R. Smith

Publication date: 20 November 2000

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0007101

zbMATH Keywords

renormalization groupquantum chromodynamicseffective Lagrangianchiral perturbation theoryexternal fieldanomalous dimensionWess-Zumino-Witten termSU(3)momentum expansioncounting rulesmassless quarksaxial singlet currentcolor number expansioncoupling constant counting ruleseffective coupling constantseffective U(1) theoryeta decay into gamma+gammaeta\(^\prime\) decay into gamma+gammaKaplan-Manohar transformationlarge color number limitmesonic QCD sectornonmultiplicative renormalizationpion\(^0\) decay into gamma+gammaradiative transitionsRG invariance restorationrunning QCD scale dependenceU(3)\(_R\times\)U(3)\(_L\) anomaliesunnatural parity contributionsWZW term

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05)

Related Items (23)

CHIRAL LAGRANGIANS ⋮ Non-perturbative test of the Witten-Veneziano formula from lattice QCD ⋮ Chiral symmetry breaking with no bilinear condensate revisited ⋮ Individual eigenvalue distributions for the Wilson Dirac operator ⋮ Ads/QCD: The relevance of the geometry ⋮ Towards a consistent estimate of the chiral low-energy constants ⋮ Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data -- a case study ⋮ Bootstrapping pions at large \(N\) ⋮ Quark disconnected diagrams in chiral perturbation theory ⋮ One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons ⋮ Effective field theory bootstrap, large-\(N\) \(\chi\)PT and holographic QCD ⋮ \(C\) and \(CP\) violation in effective field theories ⋮ Low-energy couplings of QCD from topological zero-mode wave functions ⋮ \(\eta \rightarrow 3\pi \) at two loops in chiral perturbation theory ⋮ Chiral dynamics predictions for \(\eta^{\prime} \to \eta\pi\pi\) ⋮ Orbifold equivalence for finite density QCD and effective field theory ⋮ The U(1)A Anomaly and QCD Phenomenology ⋮ Lepton flavour violation in the presence of a fourth generation of quarks and leptons ⋮ Spectral properties of the Wilson Dirac operator in the \(\epsilon\)-regime ⋮ A mixed action analysis of \(\eta\) and \(\eta^{\prime}\) mesons ⋮ Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility ⋮ The QCD topological charge and its thermal dependence: the role of the \(\eta '\) ⋮ \(\mathrm{SU}(N)\) gauge theories at large \(N\)

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