Past and Present Research: Hadron Structure and Electron Scattering

• Gary Penman

The talk will be about my past PhD work on nucleon form factor experiments, and my current research in low Q2 physics and the design of the epic Low Q2 tagger at Glasgow.

Small $x$ behavior in QCD from maximal entanglement and conformal invariance

• Sebastian Grieninger (Stony Brook University)

Recent evidence suggests that, at small Bjorken $x$, QCD evolution drives the proton into a state of maximal entanglement. If the evolution kernel is assumed to be conformally invariant -- as is the case for the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation -- we can describe it by a conformal field theory. Moreover, the central charge $c$ of the corresponding conformal field theory emerges as the key parameter governing the $x$-dependence of both the entanglement entropy and the structure function. Here we apply the exact Bethe Ansatz methods to the quantum spin chain dual to Lipatov's high energy effective action to extract the central charge of the theory, and find that $c=1$. This implies the $\sim x^{-1/3}$ small $x$ behavior for the structure function -- the prediction that can be tested at the forthcoming Electron-Ion Collider.