Proof of the absence of multiplicative renormalizability of the Gross-Neveu model in the dimensional regularization \(d=2+2\varepsilon\)

DOI10.1007/BF02634015zbMath0963.81503OpenAlexW1969919347MaRDI QIDQ1294932

A. N. Vasil'ev, M. I. Vyazovskij

Publication date: 27 June 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02634015

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items (4)

\(\epsilon\)-expansion in the Gross-Neveu ⋮ Anomalous dimensions of higher spin currents in large \(N\) CFTs ⋮ Gluonic evanescent operators: two-loop anomalous dimensions ⋮ Gluonic evanescent operators: classification and one-loop renormalization

Cites Work

• On the equivalence of renormalizations in standard and dimensional regularizations of 2D four-fermion interactions
• Three-loop calculation of the anomalous field dimension in the full four-fermion \(U_N\)-symmetric model
• A technique for calculating the \(\gamma\)-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices in \(d=2+ \varepsilon\) dimensional regularization
• Renormalization

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