Frame-Independence of Exclusive Amplitudes in the Light-Front Quantization

Abstract

While the particle-number-conserving convolution formalism established in the Drell-Yan-West reference frame is frequently used to compute exclusive amplitudes in the light-front quantization, this formalism is limited to only those frames where the light-front helicities are not changed and the good (plus) component of the current remains unmixed. For an explicit demonstration of such criteria, we present the relations between the current matrix elements in the two typical reference frames used for calculations of the exclusive amplitudes, i.e. the Drell-Yan-West and Breit frames and investigate both pseudoscalar and vector electromagnetic currents in detail. We find that the light-front helicities are unchanged and the good component of the current does not mix with the other components of the current under the transformation between these two frames. Thus, the pseudoscalar and vector form factors obtained by the diagonal convolution formalism in both frames must indeed be identical. However, such coincidence between the Drell-Yan-West and Breit frames does not hold in general. We give an explicit example in which the light-front helicities are changed and the plus component of the current is mixed with other components under the change of reference frame. In such a case, the relationship between the frames should be carefully analyzed before the established convolution formalism in the Drell-Yan-West frame is used.

14 pages, 4 figures

References in corpus (6)

• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Light-Front Quark Model Analysis of Exclusive $0^{-}$$\to$$0^{-}$ Semileptonic Heavy Meson Decays
• Pairs in the light-front and covariance
• Nonvanishing zero modes in the light-front current
• Pion Eletromagnetic Current in the Ligth-Cone Formalism
• Kaon electroweak form factors in the light-front quark model

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• Poincare Invariant Algebra From Instant to Light-Front Quantization
• Frame Dependence of Spin-One Angular Conditions in Light Front Dynamics
• Testing the W-exchange mechanism with two-body baryonic B decays
• Frame dependence of transition form factors in light-front dynamics
• Semi-dileptonic decays of the light vector mesons in Light Front Quark Model