Critical properties of φ4-theories

By H. Kleinert, V. Schulte-Frohlinde. 2001

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Minimally subtracted six loop renormalization of $O(n)$-symmetric $\phi^4$ theory and critical exponents (2017, methodology): “(12) We use standard techniques [96, 151, 162] to simplify the computation: 3 Relations that explicitly involve the dimension D are often distinguished and called hyperscaling relations.”
An Introduction to the Nonperturbative Renormalization Group (2007, background): “of the perturbative series of the Green functions exist. Let us remind the reader that, as usual in physics, the perturbative series are not absolutely convergent. They are asymptotic series, at best.[41, 61, 5] For the three-dimensional φ4 theory, it has been rigorouslyproventhat theseseriesareBore”
Interpolating between a and F (2014, background): “The corresponding β-function in d = 4− is [47, 75]”
Circuit complexity in interacting QFTs and RG flows (2018, methodology): “In order to extract physics, we will need to rewrite the expressions above in terms of the renormalized quantities following [83,84].”
Conformal invariance in the long-range Ising model (2015, background): “the books [28,29], or [30] for a concise treatment), with an extra simplification that there is no wavefunction renormalization.”
A Mellin space approach to the conformal bootstrap (2016, methodology): “This agrees with known results to this order [2].”