Conserved Vector Current Hypothesis (CVC)

[man@SUT]

What is it and how does it connect to weak interaction and electromagnetic interaction? I read from some webs, it is proposed from the isospin ladder operator. But in the book (Griffiths), he doesn't say anything about isospin ladder operator but he produces from the decay of neutron or beta decay(another book). May it come form the same thing?

man@SUT

 

[Perturbation]

As in the Noether current associated with some symmetry?

 

[sir-pinski]

The Conserved Vector Current (CVC) hypothesis is a fundamental principle in particle physics that connects the weak interaction and electromagnetic interaction. It states that the vector current, which describes the flow of particles in a system, is conserved in both weak and electromagnetic interactions. This means that the total amount of electric charge and "strangeness" (a quantum number related to the number of strange quarks in a particle) is conserved in both interactions.

The CVC hypothesis was first proposed by Murray Gell-Mann and Maurice Lévy in 1960, based on their work with the isospin ladder operator. This operator describes the transformation of particles between different isospin states, which are related to the strong nuclear force. However, as you mentioned, the CVC hypothesis can also be derived from the observation of neutron decay and beta decay, as described in other sources.

Essentially, the CVC hypothesis is a way to unify the weak and electromagnetic interactions, which were previously thought to be separate forces. It allows us to understand these interactions as different aspects of a single underlying force, known as the electroweak force.

Overall, while the CVC hypothesis may be derived from different sources, it is a fundamental principle that helps us understand the connection between weak and electromagnetic interactions.