The discussion centers on the incorporation of isospin freedom into the Dirac equation for protons, specifically addressing the transformation of protons into neutrons. It concludes that while attempts have been made to formulate effective nucleon theories, they are ultimately non-renormalizable. Instead, Quantum Chromodynamics (QCD) should be utilized, as it accounts for quark and gluon interactions. The transformation from a proton to a neutron, involving the conversion of an up quark to a down quark, necessitates the use of electroweak theory due to the role of W-bosons in flavor change.
PREREQUISITESPhysicists, particularly those specializing in particle physics, theoretical physicists exploring effective field theories, and researchers interested in the interactions of quarks and gluons.
There were attempts to formulate (effective) nucleon theories, but all these theories turned out to be non-renormalizable. One must use QCD based on quarks and gluons instead. But turning a proton into a neutron (an u- into a d-quark) requires electro-weak theory as only W-bosons change flavours.paweld said:Is it possible to incorporate into Dirac equation for proton
the possibility of its transformation into neutron (isospin freedom)?
I am not so sure about that; non-renormalizability is acceptable (not acceptable) for effective theories (fundamental theories); but uis it necessary the case that effective theories must be non-renormalizable? or let's ask the other way round: what would it mean to have a renormalizable effective theory?DrDu said:Isn't non-renormalisability quasi a charateristic of any effective field theory?