Proton spin, topology and confinement: lessons from $QCD_2$.

4 May 2022, 12:30
20m
Parallel talk WG5: Spin and 3D Structure WG5: Spin and 3D Structure

Speaker

David Frenklakh (Stony Brook University)

Description

We investigate the relation between the topology of a nucleon and its spin composition. We approach this question in 1+1 dimensional single-flavor QCD with a large number of color. In this limit the theory can be shown to be dual to the exactly solvable sine-Gordon model. The spectrum of baryons and mesons is known analytically, and the baryon is a topological kink of the sine-Gordon model. Using the method of solitonic constituents we construct the state of the baryon and extract its $g_1$ structure function. Due to the topological nature of the baryon state this structure function is enhanced at low Bjorken $x$. We propose this enhancement as an experimental probe of the topological structure of the nucleon state.

Submitted on behalf of a Collaboration? No

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