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Abstract
We present a study of the IR behavior of a threedimensional superrenormalizable quantum field theory consisting of a scalar field in the adjoint of S U (N) with a φ 4 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 IR divergences, and we indeed find that at two loops in lattice perturbation theory the critical mass diverges logarithmically. It was conjectured long ago in [R. Jackiw et al., Phys. Rev. D 23, 2291 (1981), T. Appelquist et al., Phys. Rev. D 23, 2305 (1981)] that superrenormalizable theories are nonperturbatively IR finite, with the coupling constant playing the role of an IR regulator. Using a combination of Markov Chain Monte Carlo simulations of the latticeregularized theory, frequentist and Bayesian data analysis, and considerations of a corresponding effective theory, we gather evidence that this is indeed the case.
Original language  English 

Article number  221601 
Pages (fromto)  17 
Journal  Physical Review Letters 
Volume  126 
Issue number  22 
DOIs  
Publication status  Published  4 Jun 2021 
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European network for Particle physics, Lattice field theory and Extreme computing
1/01/19 → 30/09/23
Project: Research


Highperformance computing at the highenergy frontier: results for the LHC
1/01/15 → 31/12/19
Project: Research