期刊
PHYSICAL REVIEW D
卷 89, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.014010
关键词
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资金
- Research Foundation-Flanders via the Odysseus
- FCT [SFRH/BPD/40998/2007, CERN/FP/123612/2011, PTDC/FIS/100968/2008]
- UE/FEDER through the Programme COMPETE-Programa Operacional Factores de Competitividade
- Fundação para a Ciência e a Tecnologia [CERN/FP/123612/2011, PTDC/FIS/100968/2008, SFRH/BPD/40998/2007] Funding Source: FCT
We consider the problem of measuring the Kallen-Lehmann spectral density of a particle (be it elementary or bound state) propagator by means of 4D lattice data. As the latter are obtained from operations at (Euclidean momentum squared) p(2) >= 0, we are facing the generically ill-posed problem of converting a limited data set over the positive real axis to an integral representation, extending over the whole complex p2 plane. We employ a linear regularization strategy, commonly known as the Tikhonov method with the Morozov discrepancy principle, with suitable adaptations to realistic data, e. g. with an unknown threshold. An important virtue over the (standard) maximum entropy method is the possibility to also probe unphysical spectral densities, for example, of a confined gluon. We apply our proposal here to physical mock spectral data as a litmus test and then to the lattice SU(3) Landau gauge gluon at zero temperature.
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