A 3+1 Dimensional LFModel with Spontaneous $\chi SB$
Abstract
We investigate a 3+1 dimensional toy model that exhibits spontaneous breakdown of chiral symmetry, both in a lightfront (LF) Hamiltonian and in a Euclidean SchwingerDyson (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 nontrivially, which is eventually responsible for the mass generation of the physical fermion of the model.
 Publication:

arXiv eprints
 Pub Date:
 July 1997
 DOI:
 10.48550/arXiv.hepth/9707152
 arXiv:
 arXiv:hepth/9707152
 Bibcode:
 1997hep.th....7152B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 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