Abstract
We study multifield extensions of Reggeon Field Theory (also equivalent to Directed Percolation model) at criticality in the perturbative ϵ-expansion below the upper critical dimension Dc = 4 at one loop, for the special case when all fields have the same scale (anomalous) dimensions. Analyzing all the fixed points of the renormalization group flow for N = 2 flavors and some for N = 3, we find scale invariant solutions which are characterized by specific emergent global symmetries of the interacting potential. We also study two infinite families as a function of N having ℤN and SN+1 symmetries.
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Acknowledgments
This research was supported by the Fondecyt Fund (Chile) grands N:1231829. J.B. thanks the support of the International collaboration Fondecyt F:1231829/Chile and also the hospitality of the Federico Santa María Technical University. C.C. also appreciates the support of the INFN and the hospitality of the University of Bologna and the Hamburg University.
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Bartels, J., Contreras, C. & Vacca, G.P. Emergent symmetries at criticality in multi field RFT/DP. J. High Energ. Phys. 2024, 32 (2024). https://doi.org/10.1007/JHEP05(2024)032
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DOI: https://doi.org/10.1007/JHEP05(2024)032