The discussion focuses on the implications of adding a new term to the Standard Model (SM) Lagrangian, specifically $$\frac{{\phi}F_{\mu v}F^{\mu v}}{F_{\phi}}$$, and its effect on the fine structure constant (α). Participants clarify that φ represents a field, while Fφ and Aφ are constants related to this field. The conversation highlights the complexity of evaluating how this modification influences α, particularly in the context of Feynman diagrams for Quantum Electrodynamics (QED) interactions. Additionally, it is noted that the introduced term is non-renormalizable, complicating the analysis further.
PREREQUISITESThe discussion is beneficial for theoretical physicists, graduate students in particle physics, and researchers interested in modifications to the Standard Model and their implications for fundamental constants.
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.