The discussion revolves around the implications of adding a new term to the Lagrangian of the Standard Model (SM) and its effect on the fine structure constant, specifically in the context of quantum electrodynamics (QED). The original poster expresses uncertainty about how to approach the problem, particularly regarding the role of the fine structure constant in Feynman diagrams.
The discussion is ongoing, with participants seeking clarification on the terms involved and exploring the implications of the proposed modification to the Lagrangian. Some guidance has been provided regarding the nature of phi as a field, but there is no consensus on the interpretation of Fphi and Aphi.
There is a mention of the problem's non-renormalizable nature, which may influence the discussion but is not fully explored. The original poster's uncertainty about the starting point indicates possible gaps in information or understanding.
If we add to the Lagrangian of SM a term $$\frac{{\phi}F_{\mu v}F^{\mu v}}{F_{\phi}}$$
How does the fine structure constant ##\alpha## changes as $$\phi = A_\phi cos(m_{\phi} t)$$?
"What is Fphi and Aphi?" I assume they are just constants... But the question says nothing about it.malawi_glenn said:What is Fphi and Aphi?
Is phi a field?
Where did you find the problem? This is a non renormalizeable termLCSphysicist said:"What is Fphi and Aphi?" I assume they are just constants... But the question says nothing about it.
Yes, phi is a field.