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Four loop anomalous dimensions of gradient operators in phi^4 theory
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We compute the anomalous dimensions of a set of composite operators which involve derivatives at four loops in MSbar in phi^4 theory as a function of the operator moment n. These operators are similar to the twist-2 operators which arise in QCD in the operator product expansion in deep inelastic scattering. By regarding their inverse Mellin transform as being equivalent to the DGLAP splitting functions we explore to what extent taking a restricted set of operator moments can give a good approximation to the exact four loop result.
Forward citations
Cited by 2 Pith papers
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Energy momentum tensor correlators in $\phi^4$ theory II: The spin-two sector
A four-loop calculation shows the energy-momentum tensor charge C_T separates into a fixed-point value plus corrections proportional to the beta function.
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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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