Topologically non--trivial chiral transformations and their representations in a finite model space

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dc.creatorAlkofer, R.
dc.creatorReinhardt, H.
dc.creatorSchlienz, J.
dc.creatorWeigel, H.
dc.date1994-04-06
dc.date.accessioned2026-07-07T03:56:46Z
dc.date.available2026-07-07T03:56:46Z
dc.descriptionThe role of chiral transformations in effective theories modeling Quantum Chromo Dynamics is reviewed. In the context of the Nambu--Jona--Lasinio model the hidden gauge and massive Yang--Mills approaches to vector mesons are demonstrated to be linked by a special chiral transformation which removes the chiral field from the scalar--pseudoscalar sector. The role of this transformation in the presence of a topologically non--trivial chiral field is illuminated. The fermion determinant for such a field configuration is evaluated by summing the discretized eigenvalues of the Dirac Hamiltonian. This discretization is accomplished by demanding certain boundary conditions on the quark fields leaving a finite model space. The properties of two sets of boundary conditions are compared. When the topologically non-trivial chiral transformation is applied to the meson fields the associated transformation of the boundary conditions is shown to be indispensable. A constructive procedure for transforming the boundary conditions is developed.
dc.descriptionLaTeX, 21 pages, one postscript figure attached, UNITU-THEP-6/1994
dc.identifierhttps://arxiv.org/abs/hep-ph/9404222
dc.identifierhttp://arxiv.org/abs/hep-ph/9404222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/45124
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTopologically non--trivial chiral transformations and their representations in a finite model space
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