# Renormalization group: General formulation

# Renormalization group: General formulation

This chapter introduces the general concept of renormalization group in the spirit of the work. It studies the role of fixed points and their stability properties. It exhibits a particular fixed point, the Gaussian fixed point, which is stable in dimension larger than four. It identifies the leading perturbation to the Gaussian fixed point in dimension = four. It discusses the possible existence of a non-Gaussian fixed point near dimension four.

*Keywords:*
statistical field theory, renormalization group, Gaussian fixed point, fixed points

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