A 3+1 Dimensional LF-Model with Spontaneous $χSB$

dc.creatorBurkardt, M.
dc.creatorEl-Khozondar, H.
dc.date1997-07-17
dc.date.accessioned2026-07-07T04:23:28Z
dc.date.available2026-07-07T04:23:28Z
dc.descriptionWe investigate a 3+1 dimensional toy model that exhibits spontaneous breakdown of chiral symmetry, both in a light-front (LF) Hamiltonian and in a Euclidean Schwinger-Dyson (SD) formulation. We show that both formulations are completely equivalent --- provided the renormalization is properly done. For the model considered, this means that if one uses the same transverse momentum cutoff on the SD and LF formulations then the vertex mass in the LF calculation must be taken to be the same as the current quark mass in the SD calculation. The kinetic mass term in the LF calculation is renormalized non-trivially, which is eventually responsible for the mass generation of the physical fermion of the model.
dc.description6 pages, LaTex, 1 figure, invited talk at International Workshop on ``New Nonperturbative Methods and Quantization on the Light Cone'', Les Houches, France, Feb. 24 - March 7, 1997
dc.identifierhttps://arxiv.org/abs/hep-th/9707152
dc.identifierhttp://arxiv.org/abs/hep-th/9707152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55045
dc.subjectHigh Energy Physics - Theory
dc.titleA 3+1 Dimensional LF-Model with Spontaneous $χSB$
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