Authors: Jay R. Yablon
We show how SU(3)C chromodynamics, which is the theory of strong interactions, is a corollary theory emerging naturally from the combination of nothing other than Maxwell / Weyl gauge theory with Yang-Mills theory. In the process, we show not only the emergence from the Maxwell / Yang-Mills combination of all that is to be expected from SU(3)C chromodynamics, but additionally, we show how the observed baryons containing three colored quarks in the ground state are the magnetic charges of Yang-Mills gauge theory and how these magnetic charges naturally confine their quarks and gluons but do pass mesons in order to interact. That is, we explain quark and gluon confinement and how it is that strong interactions are mediated by mesons but not gauge fields. Additionally, we demonstrate how the inherent non-linearity of Yang-Mills theory may be used to solve the “mass gap” problem and yield a nuclear interaction that is short range notwithstanding its being based on massless gluon gauge fields. We further demonstrate the origin of “chiral symmetry breaking” in strong interactions. We find that the non-linear nature of Yang-Mills theory contains a recursive aspect which provides a useful tool for solving the Yang-Mills path integral in order to exactly, analytically arrive at quantum Yang-Mills theory. As a result of further developing Weyl’s original geometric view of gauge theory, we uncover a classical field equation unifying gravitational theory with Weyl’s gauge theory including both its Maxwell / Abelian and Yang-Mills variants, at the level of the Einstein equation for gravitation. Finally, we use the recursive aspects of Yang-Mills theory to develop and solve an exact, closed recursive path integral for Quantum Yang-Mills Theory and thereby prove the existence of a non-trivial quantum Yang–Mills theory on R4 for any simple gauge group G.
Comments: 72 Pages. Added a brand new section 13 which uses the recursive findings of section 9 to prove the existence of a non-trivial Quantum Yang–Mills Theory on R4 for any simple gauge group G.
Download: PDF
[v1] 2013-10-08 13:18:18
[v2] 2013-11-07 12:53:40
Unique-IP document downloads: 817 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.