The key concepts of a perturbative or weak-coupling expansion are introduced in the context of evaluating the imaginary-time path integral representation for the partition function of an interacting scalar field. The issues of ultraviolet and infrared divergences are brought up. These problems are cured through renormalization and resummation, respectively.
CITATION STYLE
Laine, M., & Vuorinen, A. (2016). Interacting scalar fields. Lecture Notes in Physics, 925, 41–63. https://doi.org/10.1007/978-3-319-31933-9_3
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