Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM - High Energy Physics - TheoryReport as inadecuate




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Abstract: We propose a closed expression for the three loop anomalous dimension of aclass of twist-3 operators built with gauge fields and covariant derivatives.To this aim, we solve the long-range Bethe Ansatz equations at finite spin andprovide a consistent analytical formula obtained assuming maximaltranscendentality violation as suggested by the known one-loop anomalousdimension. The final result reproduces the universal cusp anomalous dimensionand obeys recursion relations inspired by the principle of reciprocityinvariance.



Author: Matteo Beccaria

Source: https://arxiv.org/







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