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arXiv · 1403.5336

Three-loop field renormalization for scalar field theory with Lorentz violation

Paulo R. S. Carvalho
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Abstract

Applying the counterterm method in minimal subtraction scheme we calculate the three-loop quantum correction to field anomalous dimension in a Lorentz-violating O($N$) self-interacting scalar field theory. We compute the Feynman diagrams using dimensional regularization and $\epsilon$-expansion techniques. As this approximation corresponds to a three-loop term, to our knowledge this is the first time in literature in which such a loop level is attained for a LV theory.

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Paulo R. S. Carvalho. 2014-03-21. Three-loop field renormalization for scalar field theory with Lorentz violation. https://doi.org/10.1016/j.physletb.2014.01.059

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