The most general local, classically scale invariant, perturbatively renormalizable,
globally $SU(N)$ invariant Lagrangian
is constructed for spin-1 fields in 4 dimensions. The total number of independent couplings is 7 and
the 1-loop $\beta$-functions are computed in the MSbar scheme. A number of asymptotically free
RG flows are identified corresponding to non-trivial QFTs. None of these are gauge theories. The
details of the large-$N$ limit are also worked out and it is shown that the RG phase space is
qualitatively similar for all $N>5$ including the $N\to\infty$ limit.
Volume 396 -
The 38th International Symposium on Lattice Field Theory (LATTICE2021) -
Oral presentation
Spin-1 fields and RG flows in 4 dimensions
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Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
DOI: https://doi.org/10.22323/1.396.0180
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.