Topological Susceptibility in SU(3) Gauge Theory

Debbio, Luigi Del; Giusti, Leonardo; Pica, Claudio

doi:10.1103/physrevlett.94.032003

Cited by 175 publications

(237 citation statements)

References 45 publications

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“…Remarkably, evaluated at the central value of the topological susceptibility found in ref. [25], the coupling g Gγγ is essentially zero. This is probably a numerical coincidence, since we can not think of a dynamical reason why this coupling should vanish identically.…”

Section: Phenomenologymentioning

confidence: 99%

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Pseudoscalar meson decay constants and couplings, the Witten–Veneziano formula beyond large , and the topological susceptibility

Shore

2006

Nuclear Physics B

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The QCD formulae for the radiative decays η, η ′ → γγ, and the corresponding Dashen-Gell-Mann-Oakes-Renner relations, differ from conventional PCAC results due to the gluonic U (1) A axial anomaly. This introduces a critical dependence on the gluon topological susceptibility. In this paper, we revisit our earlier theoretical analysis of radiative pseudoscalar decays and the DGMOR relations and extract explicit experimental values for the decay constants. This is our main result. The flavour singlet DGMOR relation is the generalisation of the Witten-Veneziano formula beyond large N c , so we are able to give a quantitative assessment of the realisation of the 1/N c expansion in the U (1) A sector of QCD. Applications to other aspects of η ′ physics, including the relation with the first moment sum rule for the polarised photon structure function g γ 1 , are highlighted. The U (1) A Goldberger-Treiman relation is extended to accommodate SU (3) flavour breaking and the implications of a more precise measurement of the η and η ′ -nucleon couplings are discussed. A comparison with the existing literature on pseudoscalar meson decay constants using large-N c chiral Lagrangians is also made.

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Section: Phenomenologymentioning

confidence: 99%

“…is available from lattice calculations in pure Yang-Mills theory [25]. This extra dynamical input allows us to determine the four decay constants from eqs.…”

Section: It Follows Thatmentioning

confidence: 99%

Pseudoscalar meson decay constants and couplings, the Witten–Veneziano formula beyond large , and the topological susceptibility

Shore

2006

Nuclear Physics B

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“…The matching of lattice QCD and the chiral effective theory in the ǫ-regime has recently been considered in order to extract the strong interaction LECs [11]- [18]. Subsequently, it has been pursued for the determination of the weak LECs that we are interested in [15,19,20], as well as for the study of baryon properties [21].…”

Section: Introductionmentioning

confidence: 99%

Probing the chiral weak Hamiltonian at finite volumes

Hernández¹,

Laine²

2006

J. High Energy Phys.

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Non-leptonic kaon decays are often described through an effective chiral weak Hamiltonian, whose couplings ("low-energy constants") encode all non-perturbative QCD physics. It has recently been suggested that these low-energy constants could be determined at finite volumes by matching the non-perturbatively measured three-point correlation functions between the weak Hamiltonian and two left-handed flavour currents, to analytic predictions following from chiral perturbation theory. Here we complete the analytic side in two respects: by inspecting how small ("ǫ-regime") and intermediate or large ("p-regime") quark masses connect to each other, and by including in the discussion the two leading ∆I = 1/2 operators. We show that the ǫ-regime offers a straightforward strategy for disentangling the coefficients of the ∆I = 1/2 operators, and that in the p-regime finite-volume effects are significant in these observables once the pseudoscalar mass M and the box length L are in the regime M L < ∼ 5.0. July 20061 pilar.hernandez@ific.uv.es 2

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“…The quenched value of χ is responsible for the large mass of the η ′ meson [1,2] and allows to understand the realization of the U A (1) symmetry. From phenomenology this quantity must be χ ≈ (180 MeV) 4 . The most recent lattice results [3][4][5] and calculations based on SVZ-sum rules [6] are in fair agreement with this prediction.…”

Section: Introductionmentioning

confidence: 99%

“…From phenomenology this quantity must be χ ≈ (180 MeV) 4 . The most recent lattice results [3][4][5] and calculations based on SVZ-sum rules [6] are in fair agreement with this prediction. Besides, in the full theory χ is proportional to the chiral condensate in the massless limit [7] while the second moment of the correlation function of two topological charge density operators furnishes a possible explanation to the so-called proton spin crisis [8].…”

Section: Introductionmentioning

confidence: 99%

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

2006

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The behaviour of the topological susceptibility χ in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of χ drops abruptly at a critical chemical potential µ c , much as it happens at the finite temperature and zero density transition. The Polyakov loop and the chiral condensate undergo their transitions at the same critical value µ c . At a value µ s of the chemical potential, called saturation point, which in our case satisfies µ s > µ c , Pauli blocking supervenes and consequently the theory becomes quenched.

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Topological Susceptibility in SU(3) Gauge Theory

Cited by 175 publications

References 45 publications

Pseudoscalar meson decay constants and couplings, the Witten–Veneziano formula beyond large , and the topological susceptibility

Pseudoscalar meson decay constants and couplings, the Witten–Veneziano formula beyond large , and the topological susceptibility

Probing the chiral weak Hamiltonian at finite volumes

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

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