Abstract
We set up and analyze the lightcone Hamiltonian for an abelian Chern-Simons field coupled to Nf fermions in the limit of large Nf using conformal truncation, i.e. with a truncated space of states corresponding to primary operators with dimension below a maximum cutoff Δmax. In both the Chern-Simons theory, and in the O(N) model at infinite N, we compute the current spectral functions analytically as a function of Δmax and reproduce previous results in the limit that the truncation Δmax is taken to ∞. Along the way, we determine how to preserve gauge invariance and how to choose an optimal discrete basis for the momenta of states in the truncation space.
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Delacrétaz, L.V., Fitzpatrick, A.L., Katz, E. et al. Conformal truncation of chern-simons theory at large Nf. J. High Energ. Phys. 2019, 107 (2019). https://doi.org/10.1007/JHEP03(2019)107
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DOI: https://doi.org/10.1007/JHEP03(2019)107