# Perturbative renormalization group: Explicit calculations

# Perturbative renormalization group: Explicit calculations

This chapter uses the assumptions introduced in Chapter 9 to show that it is indeed possible to find a non-Gaussian fixed point in dimension *d* = 4 - e, both in models with reflection and rotation symmetries. It briefly introduces the field theory methods that will be described more thoroughly in the following chapters. Finally, it presents a selection of numerical results concerning critical exponents and some universal amplitude ratios.

*Keywords:*
non-Gaussian fixed point, Hamiltonian expansion, perturbative expansion, Feynman diagrams, renormalization group

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