 Home

Codex Wiki

List of universities

University of Cambridge

Course of the University of Cambridge

Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2025

Paper 301

With all momenta incoming, the <Feynman rules> are
$$
\text{propagator: }\frac{i}{p^2-m^2+i\epsilon},
$$
$$
\text{three-point vertex: }
2i\lambda\sum_{j=1}^3(p_j^2-m^2),
$$
and
$$
\text{four-point vertex: }
4i\lambda^2\left(\sum_{j=1}^4p_j^2-3m^2\right).
$$
Each vertex includes its momentum-conserving delta function. The combinatorial factors follow by assigning the identical fields to the differentiated and undifferentiated slots in every possible way.

Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 301 / 4 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 301 / 4 / b / Solution

 Ancestors (11)

 Discussion (0)

 Articles by others on the same topic (0)

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 301 / 4 / b / Solution

 Ancestors (11)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)