Hello,(adsbygoogle = window.adsbygoogle || []).push({});

Consider the the following Lagrangian of the $\phi ^4$ theory:

$$\begin{align*} \mathcal{L} = \frac{1}{2} [\partial ^{\mu} \phi \partial _{\mu} \phi - m^2 \phi ^2] - \frac{\lambda}{4!} \phi ^4 \end{align*}$$

Now I'm interested in Feynman diagrams.

1. The second term gives the propagator an the third a vertex but what about the first term $$\frac{1}{2} [\partial ^{\mu} \phi \partial _{\mu} \phi]~?$$

2. How does this kinetic term looks like in the feynman diagram formalism?

3. I also don't understand how to renormalize this first term (maybe this question is solved if I know how this term looks like in the sense of feynman diagrams).

Thank you.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Lagrangian and Feynman diagrams

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads for Lagrangian Feynman diagrams |
---|

I QCD Lagrangian |

Insights Mathematical Quantum Field Theory - Lagrangians - Comments |

I Double sided arrow notation in Dirac Field Lagrangian |

A The Lagrangian Density and Equations of Motion |

**Physics Forums | Science Articles, Homework Help, Discussion**