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Abstract / Description of output
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 

Article number  221601 
Pages (fromto)  17 
Number of pages  7 
Journal  Physical Review Letters 
Volume  126 
Issue number  22 
DOIs  
Publication status  Published  4 Jun 2021 
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Dive into the research topics of 'Nonperturbative infrared finiteness in superrenormalisable scalar quantum field theory'. Together they form a unique fingerprint.Projects
 1 Finished

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