<i>Gauge Theories in Particle Physics</i>

Aitchison, I. J. R.; Hey, A J G; Donoghue, John F.

doi:10.1119/1.13117

Cited by 84 publications

(70 citation statements)

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“…This result has already been obtained by other methods [24]. Although (29) roughly approximates the data, one must admit that it is 50% too large since the observed ρ → eē rate gives g 2 ρ /4π ≃ 2.01. It indicates that we may improve on our analysis by moving away from the soft chiral limit to the real ρ mass shell.…”

Section: Generating the Vector Masses And Couplingssupporting

confidence: 81%

Dynamical Generation of the Gauged Su(2) Linear Sigma Model

1995

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The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson-quark Lagrangian, with the quark (q) and meson (σ, π) fields all treated as elementary, having neither bare masses nor expectation values. In the chiral limit, the masses are predicted to be mq = fπg, mπ = 0, mσ = 2mq, and we also find that the quark-meson coupling is g = 2π/ √ Nc, the three-meson coupling is g ′ = m 2 σ /2fπ = 2gmq and the four-meson coupling is λ = 2g 2 = g ′ /fπ, where fπ ≃ 90 MeV is the pion decay constant and Nc = 3 is the colour number. By gauging this model one can generate the couplings to the vector mesons ρ and A1, including the quark-vector coupling constant gρ = 2π, gρππ, gA 1 ρπ and the masses mρ ∼ 700 MeV, mA 1 ≃ √ 3mρ; of course the vector and axial currents remain conserved throughout.

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Section: Generating the Vector Masses And Couplingssupporting

confidence: 81%

Dynamical Generation of the Gauged Su(2) Linear Sigma Model

1995

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“…1 In addition current data for D meson decays indicate that the semileptonic rates for D + and D 0 are equal to within at least about 10% if not better. 2 This means that the large difference between the observed D + and D 0 lifetimes (τ (D + )/τ (D 0 ) = 2.55 ± 0.04) is due to a large difference in the hadronic decay rates for the D + and the D 0 . Thus in contrast to the spectator model [4] which only has the free charm quark decay diagram and predicts equal D + and D 0 lifetimes, we need to take into account spectator quark effects.…”

Section: Decay Diagramsmentioning

confidence: 98%

“…Ignoring the more complicated soft gluonic exchanges, it is relatively easy in this model to roughly show that must both be either left-handed or both right-handed in order to conserve angular momentum. However the V − A nature of the weak interaction requires left-handed particles and right-handed anti-particles [2]. 2 The semileptonic decay rate is given by the ratio of the semileptonic branching ratio to the lifetime.…”

Section: Decay Diagramsmentioning

confidence: 99%

“…However the V − A nature of the weak interaction requires left-handed particles and right-handed anti-particles [2]. 2 The semileptonic decay rate is given by the ratio of the semileptonic branching ratio to the lifetime. Using the world average values for these compiled by the Particle Data Group [3], Γ SL (D + ) = (1.071 ± 0.119) × 10 −13 GeV and Γ SL (D 0 ) = (1.067 ± 0.041) × 10 −13 GeV.…”

Section: Decay Diagramsmentioning

confidence: 99%

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Review of charm and beauty lifetimes

Cheung

1999

AIP Conference Proceedings

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A review of the latest experimental results on charm particle lifetimes is presented. The most significant update is that the D + s lifetime is conclusively larger than the D 0 lifetime and signifies that W-exchange/W-annihilation contributions are large. Using new high statistics data on D + → K + π + π − together with the D + s lifetime and some assumptions, one can phenomenologically extract the strength of the W-exchange contribution in D 0 decays and of W-annihilation in D + s decays. These are larger than or at the limit of theoretical expectations using QCD-based operator production expansion techniques.

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“…where λ (1) (u) = 1 , λ (2) (u) = r , and λ (3) (u) = r sin θ . By letting Dμ = Pμ − Γμ and recalling the identity [22] γμ…”

Section: Covariant Dirac Equationmentioning

confidence: 99%

Breakdown of Casimir invariance in curved space‐time

Singh¹,

Mobed

2010

Annalen der Physik

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It is shown that the commonly accepted definition for the Casimir scalar operators of the Poincaré group does not satisfy the properties of Casimir invariance when applied to the non-inertial motion of particles while in the presence of external gravitational and electromagnetic fields, where general curvilinear co-ordinates are used to describe the momentum generators within a Fermi normal co-ordinate framework. Specific expressions of the Casimir scalar properties are presented. While the Casimir scalar for linear momentum remains Lorentz invariant in the absence of external fields, this is no longer true for the spin Casimir scalar. Potential implications are considered for the propagation of photons, gravitons, and gravitinos as described by the spin-3/2 Rarita-Schwinger vector-spinor field. In particular, it is shown that non-inertial motion introduces a frame-based effective mass to the spin interaction, with interesting physical consequences that are explored in detail.

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Gauge Theories in Particle Physics

Cited by 84 publications

References 0 publications

Dynamical Generation of the Gauged Su(2) Linear Sigma Model

Dynamical Generation of the Gauged Su(2) Linear Sigma Model

Review of charm and beauty lifetimes

Breakdown of Casimir invariance in curved space‐time

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