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Title Gauge invariant spectral analysis of quark hadronization dynamics
Authors Alberto Accardi, Caroline Silva Rocha Costa, Andrea Signori, Caroline S. R. Costa
JLAB number JLAB-THY-23-3890
LANL number (None)
Other number DOE/OR/23177-6756
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:DE-SC0008791
Marie Sklodowska-Curie Action SQuHadron ID: 795475

Compiled for Physical Review D
Volume 108
Issue 11
Page(s) 114011
Publication Abstract: 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, and relate each of its coefficients to a specific sum rule for the chiral-odd and chiral-even quark spectral functions. Working at first in light-like axial gauge, we obtain a new sum rule for the spectral function associated to the gauge fixing vector, and show that its second moment is in fact equal to zero. Then, we demonstrate that the first moment of the chiral-odd quark spectral function is equal in any gauge to the so-called inclusive jet mass, which is related to the mass of the particles produced in the hadronization of a quark. Finally, we 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.
Experiment Numbers: other
Document: pdf
Accepted Manuscript: PhysRevD.108.114011.pdf
Supporting Documents:
Jets-Accepted (1).pdf (Supporting)
Supporting Datasets: