A dynamical principle for 3D-4D interlinkage in Salpeter-like equations

Mitra, A. N. ; Sodermark, B. M. (2001) A dynamical principle for 3D-4D interlinkage in Salpeter-like equations Nuclear Physics A, 695 (1-4). pp. 328-352. ISSN 0375-9474

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9474(01)01115-0

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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Markov–Yukawa Transversality Principle (MYTP); Salpeter-like Equations; Covariant Instantaneity Ansatz (CIA); Covariant Null-plane Ansatz (CNPA); 3D-4D Interlinkage; Vertex Function; 4D Loops
ID Code:34350
Deposited On:09 Apr 2011 08:01
Last Modified:09 Apr 2011 08:01

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