Srednicki — Quantum Field Theory · Problem 11.1

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · decay-rates-scalar-fields

Problem

a) Consider a theory of a two real scalar fields

A

and

B

with an interaction

\mathcal{L}_1 = gAB^2

. Assuming that

m_A > 2m_B

, compute the total decay rate of the

A

particle at tree level. b) Consider a theory of a real scalar field

\varphi

and a complex scalar field

\chi

with

\mathcal{L}_1 = g\varphi\chi^\dagger\chi

. Assuming that

m_\varphi > 2m_\chi

, compute the total decay rate of the

\varphi

particle at tree level.