Charge-symmetry breaking, rho-omega mixing, and the quark propagator

Krein, G.; Thomas, A. W.; Williams, Anthony G.

doi:10.1016/0370-2693(93)90998-w

Cited by 61 publications

(92 citation statements)

References 24 publications

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“…It is convenient because only the chiral limit amplitudes need to be modelled. With the m = 0 forms of A and B extracted from (11) and (12) The momentum dependence obtained is quite similar to that found in earlier work [5,6]. The experimental mass-shell mixing strength was produced in the work of Ref.…”

Section: Isovector Component Of the Quark Propagator And ρ 0 -ω Mixingsupporting

confidence: 81%

Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics

et al. 1994

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The quark-loop contribution to the ρ 0 − ω mixing self-energy function is calculated using a phenomenologically successful QCD-based model field theory in which the ρ 0 and ω mesons are compositeqq bound states. In this calculation the dressed quark propagator, obtained from a model Dyson-Schwinger equation, is confining. In contrast to previous studies, the meson-qq vertex functions are characterised by a strength and range determined by the dynamics of the model; and the calculated off-mass-shell behaviour of the mixing amplitude includes the contribution from the calculated diagonal meson self-energies. The mixing amplitude is shown to be very sensitive to the small isovector component of dynamical chiral symmetry breaking. The spacelike quark-loop mixing-amplitude generates an insignificant charge symmetry breaking nuclear force.

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Section: Isovector Component Of the Quark Propagator And ρ 0 -ω Mixingsupporting

confidence: 81%

Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics

et al. 1994

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“…As examples we note that the model has been used successfully to calculate the ω-ρ mass splitting induced by ρ → ππ → ρ, ρ → ωπ → ρ, ω → ρπ → ω and ω → πππ → ω self energy corrections (Hollenberg et al, 1992) and to analyse the contribution of pion loops to the electromagnetic charge radius of the pion , which is found to be an additive correction to r 2 π of < 15% at m π = 0.14 GeV. Furthermore, recent calculations of the ω-ρ mixing component of the N-N potential (Goldman et al, 1992;Krein et al, 1993;Mitchell et al, 1994) also fit neatly within this framework. The important feature of these meson-loop contributions is that they too are finite because the Bethe-Salpeter amplitudes that describe the quark core of the hadrons appear in every integral and provide natural momentum cutoffs, thus ensuring convergence.…”

Section: Effective Actions and Qcdmentioning

confidence: 99%

Dyson-Schwinger equations and their application to hadronic physics

Roberts

Williams

1994

Progress in Particle and Nuclear Physics

1,042

544

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We review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with an introduction to the formalism and a discussion of renormalisation in this approach. We then review the current status of studies of Abelian gauge theories [e.g., strong coupling quantum electrodynamics] before turning our attention to the non-Abelian gauge theory of the strong interaction, quantum chromodynamics. We discuss confinement, dynamical chiral symmetry breaking and the application and contribution of these techniques to our understanding of the strong interactions. KEYWORDS confinement of quarks and gluons; dynamical chiral symmetry breaking; Dyson-Schwinger equations; hadrons; quantum electrodynamics; quantum chromodynamics.

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“…The plausibility of this explanation (which employs the observed mixing, measured at q 2 = m 2 ω , unchanged in the spacelike region q 2 < 0) has, however, recently been called into question by Goldman, Henderson and Thomas [6] who pointed out that, in the context of a particular model, the relevant ρ − ω mixing matrix element has significant q 2 -dependence. Subsequently, various authors, employing various computational and/or model framewords, have showed that the presence of such q 2 -dependence appears to be a common feature of isospin-breaking in both meson-propagator-and current-correlator matrix elements [7][8][9][10][11][12][13][14][15][16] .…”

Section: Introductionmentioning

confidence: 99%

QCD sum rule analysis of the mixed-isospin vector current correlator reexamined

Maltman

1996

Phys. Rev. D

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The mixed-isospin vector current correlator, 0|T (V ρ µ V ω ν )|0 is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modification of previous analyses necessitated by the observation that those analyses produce forms of the correlator that fail to be dominated, near q 2 = 0, by the most nearby singularities.Inclusion of contributions associated with the φ meson rectify this problem.The resulting sum rule fit provides evidence for a significant direct ω → ππ coupling contribution in e + e − → π + π − . It is also pointed out that results for the q 2 -dependence of the correlator cannot be used to provide information about the (off-shell) q 2 -dependence of the off-diagonal element of the vector meson propagator unless a very specific choice of interpolating fields for the vector mesons is made. The results for the value of the correlator near q 2 = 0 in ChPT are shown to be more than an order of magnitude smaller than those extracted from the sum rule analysis and the reasons why this suggests slow 1 convergence of the chiral series for the correlator given.

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Charge-symmetry breaking, rho-omega mixing, and the quark propagator

Cited by 61 publications

References 24 publications

Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics

Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics

Dyson-Schwinger equations and their application to hadronic physics

QCD sum rule analysis of the mixed-isospin vector current correlator reexamined

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