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arXiv · 2402.04007

Emergent symmetries at criticality in multi field RFT/DP

Jochen Bartels·Carlos Contreras·Gian Paolo Vacca
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Abstract

We study multifield extensions of Reggeon Field Theory (also equivalent to Directed Percolation model) at criticality in the perturbative epsilon-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 Z_N and S_{N+1} symmetries.

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Jochen Bartels, Carlos Contreras, Gian Paolo Vacca. 2024-02-06. Emergent symmetries at criticality in multi field RFT/DP. https://arxiv.org/abs/2402.04007

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