Trace Formulae of Characteristic Polynomial and Cayley-Hamilton's Theorem, and Applications to Chiral Perturbation Theory and General Relativity

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dc.creatorZhang, Hong-Hao
dc.creatorYan, Wen-Bin
dc.creatorLi, Xue-Song
dc.date2007-01-12
dc.date.accessioned2026-07-07T11:59:38Z
dc.date.available2026-07-07T11:59:38Z
dc.descriptionBy using combinatorics, we give a new proof for the recurrence relations of the characteristic polynomial coefficients, and then we obtain an explicit expression for the generic term of the coefficient sequence, which yields the trace formulae of the Cayley-Hamilton's theorem with all coefficients explicitly given, and which implies a byproduct, a complete expression for the determinant of any finite-dimensional matrix in terms of the traces of its successive powers. And we discuss some of their applications to chiral perturbation theory and general relativity.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0701116
dc.identifierhttp://arxiv.org/abs/hep-th/0701116
dc.identifierCommun.Theor.Phys.49:801,2008
dc.identifierdoi:10.1088/0253-6102/49/4/01
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206632
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleTrace Formulae of Characteristic Polynomial and Cayley-Hamilton's Theorem, and Applications to Chiral Perturbation Theory and General Relativity
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