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

Authors
Type
Published Article
Publication Date
Mar 20, 2014
Submission Date
Mar 20, 2014
Identifiers
DOI: 10.1016/j.physletb.2014.01.059
Source
arXiv
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.