Abstract
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.
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. V.N. Gribov, A Reggeon Diagram Technique, Zh. Eksp. Teor. Fiz. 53 (1967) 654 [INSPIRE].
2. V.N. Gribov and A.A. Migdal, Properties of the Pomeranchuk pole and the branch cuts related to it at low momentum transfer, Yad. Fiz. 8 (1968) 1002 [INSPIRE].
3. H.D.I. Abarbanel and J.B. Bronzan, Structure of the Pomeranchuk Singularity in Reggeon Field Theory, Phys. Rev. D 9 (1974) 2397 [INSPIRE].
4. R.L. Sugar and A.R. White, Construction of the Reggeon Calculus in Four Epsilon Dimensions, Phys. Rev. D 10 (1974) 4074 [INSPIRE].
5. J. Bartels, C. Contreras and G.P. Vacca, Could reggeon field theory be an effective theory for QCD in the Regge limit?, JHEP 03 (2016) 201 [arXiv:1512.07182] [INSPIRE].