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.
The fine structure constant, denoted by the symbol α (alpha), is a dimensionless physical constant that describes the strength of the electromagnetic interaction between elementary particles.
The currently accepted value of the fine structure constant is approximately 1/137, or 0.0072973525664. This value is a fundamental constant of nature and does not depend on any specific unit system.
The fine structure constant is related to other important physical constants, such as the speed of light, Planck's constant, and the elementary charge. It is also related to the strength of the strong and weak nuclear forces.
The fine structure constant plays a crucial role in determining the properties of atoms and molecules, as well as the behavior of particles at the quantum level. It is also used in various theoretical models and calculations in physics.
Although there have been attempts to measure and verify changes in the fine structure constant, there is currently no evidence to suggest that its value has changed over time. It is considered to be a fundamental constant of nature that remains constant throughout the universe.