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from Part I - General Properties of Fields; Scalars and Gauge Fields
Published online by Cambridge University Press: 04 March 2019
We consider the classical perturbation theory for the equations of motion of a field theory Lagrangian. We consider a scalar field with canonical kinetic term and a potential that contains interactions, and we describe the general formalism. In the case of a polynomial potential, we describe the formal solution and how we can self-consistently solve it in perturbation theory, considering that the potential interaction is small. We construct a diagrammatic procedure for solving it iteratively – that is, the classical limit of the Feynman diagram procedure in quantum field theory, but here it is just a mathematical trick.
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