On anomalous dimension in 3D ABJM model
Anomalous dimension of the shortest single-trace operator is calculated in a simple form for the fishnet limit of the twisted ABJM model in 3D.
hep-th↗
arXiv subjects
I. A. Kotikov
Publications and source records attributed to I. A. Kotikov.
On ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound
A brief review of the results for the total cross section σ^{νN} of ultrahigh-energy neutrino deep inelastic scattering on isoscalar nuclear targets is presented. These results are based on simple approximations for σ^{νN} and are compared with the experimental data of the IceCube Collaboration. The total cross section σ^{νN} is proportional to the structure function F_2^{νN}(M_V^2/s,M_V^2), where M_V is the intermediate boson mass and s is square of the energy of the center of mass. The coefficient in the front of F_2^{νN}(M_V^2/s,M_V^2) depends on the asymptotic behavior of F_2^{νN} at low values of x. It contains an additional term \sim \ln{s} if F_2^{νN} is scaled by the power \ln(1/x). Therefore, the asymptotic behavior of F_2^{νN}\propto\ln^2(1/x) for small x often assumed in the literature already leads to violation of the Froissart bound for σ^{νN}.
hep-ph↗