Solve Lagrangian Deduc Vertex Problem Easily

[ElianeUnifei]

I want deduc vertex of the lagrangian, but I not know how?

 

[kuon]

If you mean, which particles interact you just have look at the interacting terms of the Lagrangian. In general just look at the ones that aren't kinetic or mass terms.

To calculate the associated Feynman rule just keep the term add an "i" and remove the fields. If you have a vertex with 3 or 4 vector bosons the Feynman rule is bit more complicated because you have to take into account the different ways in which they can interact. Check it out for example in Peskin pag 507.

 

[sir-pinski]

The process of solving the Lagrangian Deduc Vertex problem can be simplified by following these steps:

1. First, familiarize yourself with the concept of Lagrangian and its formula. The Lagrangian is a mathematical function that represents the energy of a system. Its formula is L = T - V, where T is the kinetic energy and V is the potential energy.

2. Next, identify the variables involved in the problem. These variables will be used to construct the Lagrangian function.

3. Use the Lagrangian formula to construct the function. This will involve substituting the identified variables into the formula.

4. Differentiate the Lagrangian function with respect to each variable. This will result in a set of equations known as the Euler-Lagrange equations.

5. Solve the Euler-Lagrange equations to find the critical points of the Lagrangian function. These critical points represent the vertices of the Lagrangian.

By following these steps, you should be able to easily deduce the vertex of the Lagrangian. It is important to note that this process can be complex and may require some mathematical background knowledge. If you are still unsure how to proceed, it may be helpful to seek guidance from a teacher or tutor.