Gauge invariant spectral analysis of quark hadronization dynamics

Accardi, Alberto; Costa, Caroline S. R.; Signori, Andrea

doi:10.1103/physrevd.108.114011

Title: Gauge invariant spectral analysis of quark hadronization dynamics

Journal Article · 13 December 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.108.114011 · OSTI ID:2229928

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Hampton University, Hampton, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
University of Turin (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Torino (Italy)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); European Commission (EC); USDOE

Grant/Contract Number:: AC05-06OR23177; SC0008791; 795475

OSTI ID:: 2229928

Alternate ID(s):: OSTI ID: 2234016

Report Number(s):: JLAB-THY-23-3890; DOE/OR/23177-6756; TRN: US2407520

Journal Information:: Physical Review. D., Vol. 108, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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