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Abstract
We present a study of the IR behaviour of a threedimensional superrenormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of SU(N) with a φ4 interaction. A bare mass is required for the theory to be massless at the quantum level. In perturbation theory the critical mass is ambiguous due to infrared (IR) divergences and we indeed find that at twoloops in lattice perturbation theory the critical mass diverges logarithmically. It was conjectured long ago in that superrenormalisable theories are nonperturbatively IR finite, with the coupling constant playing the role of an IR regulator. Using a combination of MarkovChainMonteCarlo simulations of the latticeregularised theory, both frequentist and Bayesian data analysis, and considerations of a corresponding effective theory we gather evidence that this is indeed the case.
Original language  English 

Journal  Physical Review Letters 
Publication status  Accepted/In press  29 Apr 2021 
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Projects
 1 Active

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research