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Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions
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abstract
By using the corrections to the asymptotic scaling forms of the fields of the $O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson equations, we deduce the critical exponent corresponding to the $\beta$-function of the model at $O(1/N^2)$.
Forward citations
Cited by 4 Pith papers
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Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.
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Spontaneous Space-Time Parity Breaking Without Thermal Restoration
A 2+1 dimensional QFT is constructed whose parity symmetry is unbroken at zero temperature but spontaneously breaks at all sufficiently high temperatures.
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Anomalous dimensions at small spins
The quadratic mass-correction combination of twist-two anomalous dimensions stays finite at small spin in the O(N) phi^4, phi^3, and Gross-Neveu-Yukawa models at the computed loop orders, enabling explicit resummations.
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Probing Large $N_f$ Through Schemes
At most one renormalization scheme can keep the leading term of the large-Nf beta function dominant, so truncated large-Nf predictions of ultraviolet fixed points are not scheme-robust.
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