Current Matrix Elements from a Relativistic Quark Model

Feynman, Richard P.; Kislinger, M.B.; Ravndal, F.

doi:10.1103/physrevd.3.2706

Cited by 692 publications

(473 citation statements)

References 19 publications

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“…As in all bound-state cases, this localization condition is responsible for the existence of discrete mass spectra. The most convincing evidence for this bound-state picture is the hadronic mass spectra which are observed in high-energy laboratories [3,6].…”

Section: Feyman's Parton Picturementioning

confidence: 94%

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Standing Waves in the Lorentz-Covariant World

Kim

Noz²

2005

Found Phys

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When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this subject is forgotten in history. This is largely because of the emergence of quantum mechanics with wave-particle duality. Instead of Lorentz-boosting rigid bodies, we now boost waves and have to deal with Lorentz transformations of waves. We now have some understanding of plane waves or running waves in the covariant picture, but we do not yet have a clear picture of standing waves. In this report, we show that there is one set of standing waves which can be Lorentz-transformed while being consistent with all physical principle of quantum mechanics and relativity. It is possible to construct a representation of the Poincaré group using harmonic oscillator wave functions satisfying space-time boundary conditions. This set of wave functions is capable of explaining the quantum bound state for both slow and fast hadrons. In particular it can explain the quark model for hadrons at rest, and Feynman's parton model hadrons moving with a speed close to that of light.

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Section: Feyman's Parton Picturementioning

confidence: 94%

“…In order to resolve this paradox, let us write down the momentum-energy wave function corresponding to Eq.(10). If we let the quarks have the four-momenta p a and p b , it is possible to construct two independent fourmomentum variables [3] …”

Section: Feyman's Parton Picturementioning

confidence: 99%

Standing Waves in the Lorentz-Covariant World

Kim

Noz²

2005

Found Phys

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“…If we add the term dφ/dτ = ∂φ/∂τ + ∂ µ φẊ µ to the latter action we obtain 46) where p ′ µ = p µ + ∂ µ φ. The transformation (1.43) is called gauge transformation, A µ is a gauge field, identified with the electromagnetic field potential, and e the electric charge.…”

Section: The Landscape Of Theoretical Physics: a Global Viewmentioning

confidence: 99%

“…If the action is written in a covariant notation one has to be careful of how to define the vacuum state. Usually it is required that energy be positive, and then, in the absence of a cutoff, the formalism contains an infinite vacuum energy and negative norm states [46]. In the formalism I am going to adopt energy is not necessarily positive, negative energy states are also stable, and there are no negative norm states [3].…”

Section: Harmonic Oscillator In Pseudo-euclidean Spacementioning

confidence: 99%

The Landscape of Theoretical Physics: A Global View

Pavšič¹

2002

Fundamental Theories of Physics

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This is a book for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, the elegant description of geometry by means of Clifford algebra, about the fascinating possibilities the latter algebra offers in reformulating the existing physical theories, and quantizing them in a natural way. It is shown how Clifford algebra provides much more: it provides room for new physics, with the prospects of resolving certain long standing puzzles. The theory of branes and the idea of how a 3-brane might represent our world is discussed in detail. Much attention is paid to the elegant geometric theory of branes which employs the infinite dimensional space of functions describing branes. Clifford algebra is generalized to the infinite dimensional spaces. In short, this is a book for anybody who would like to explore how the "theory of everything" might possibly be formulated. The theory that would describe all the known phenomena, could not be formulated without taking into account "all" the theoretical tools which are available. Foundations of those tools and their functional interrelations are described in the book. Note: This book was published by Kluwer Academic Publishers in 2001.The body of the posted version is identical to the published one, except for corrections of misprints, and some minor revisions that I have found necessary.

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“…Here the RES process is chosen to be the main example. In MC generators resonant pion production is either based upon the Rein-Sehgal paper [5] (continuation of the earlier quark Feynman-Kislinger-Ravndal model [6]) or on a variety of isobar models (see e. g. [7]). Another group of more sophisticated models (see e. g. [8], [9], [10], [11], [12], [13]) is still waiting to be implemented in MC generators.…”

Section: Introductionmentioning

confidence: 99%