A Dynamical Principle For 3D-4D Interlinkage In Salpeter-like Equations

Abstract

The half-century old Markov-Yukawa Transversality Principle ($MYTP$) which provides a theoretical rationale for the covariant instantaneous approximation ($CIA$) that underlies all Salpeter-like equations, is generalized to a covariant null-plane ansatz ($CNPA$). A common characteristic of both formulations is an exact 3D-4D interlinkage of BS amplitudes which facilitates a two-tier description: the 3D form for spectroscopy, and the 4D form for transition amplitudes as 4D loop integrals. Some basic applications of $MYTP$ on the covariant null plane (quark mass function, vacuum condensates, and decay constants) are given on the lines of earlier applications to these processes under $CIA$. PACS: 03.65.-w ; 03.65.Co ; 11.10.Qr ; 11.10.St Keywords: Markov-Yukawa Transversality Principle ($MYTP$); Salpeter-like eqs; Cov Instantaneity Ansatz ($CIA$); Cov Null-Plane Ansatz ($CNPA$); 3D-4D interlinkage; Vertex function; 4D loops

LaTeX file, 25 pages, to be published in Nuclear Phys.A

References in corpus (4)

• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Light-front Quantized Chiral Schwinger Model and its Vacuum Structure
• 3D-4D Interlinkage Of qqq Wave Functions Under 3D Support For Pairwise Bethe-Salpeter Kernels
• MarKov-Yukawa Transversality On Covariant Null Plane: Pion Form Factor, Gauge Invariance And Lorentz Completion

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