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Hadronization dynamics from the spectral representation of the gauge invariant quark propagator

29 Mar 2023, 10:00
20m
105AB (MSU Kellogg Center)

105AB

MSU Kellogg Center

Parallel talk WG5: Spin and 3D Structure WG5

Speaker

Caroline S. R. Costa (Jefferson Lab)

Description

Using the spectral representation of the quark propagator we study the Dirac decomposition of the gauge invariant quark propagator, whose imaginary part describes the hadronization of a quark as this interacts with the vacuum.

In light-like axial gauge, we obtain a new sum rule for the spectral function associated to the gauge fixing vector. We then demonstrate the formal gauge invariance of the so-called jet mass, that can be expressed in any gauge as the first moment of the chiral-odd quark spectral function. We also present a gauge-dependent formula that connects the second moment of the chiral-even quark spectral function to invariant mass generation and final state rescattering in the hadronization of a quark.

We finally discuss how the jet mass contributes to and can be measured in inclusive DIS and electron-positron collisions.

Submitted on behalf of a Collaboration? No
Participate in poster competition? No

Primary authors

Caroline S. R. Costa (Jefferson Lab) Alberto Accardi (Hampton U. and Jefferson Lab) Andrea Signori (University of Pavia and Jefferson Lab)

Presentation materials