Chiral Condensates in the Light-Cone Vacuum

Details Chiral Condensates in the Light-Cone Vacuum Chiral Condensates in the Light-Cone Vacuum

2000-07-10

arxiv.org/abs/hep-th/0007081v1

Phys.Rev. D63 (2001) 045018

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 9 pages, no figure

Scientific paper

10.1103/PhysRevD.63.045018

In light-cone quantization, the standard procedure to characterize the phases of a system by appropriate ground state expectation values fails. The light-cone vacuum is determined kinematically. We show that meaningful quantities which can serve as order parameters are obtained as expectation values of Heisenberg operators in the equal (light-cone) time limit. These quantities differ from the purely kinematical expectation values of the corresponding Schroedinger operators. For the Nambu--Jona-Lasinio and the Gross-Neveu model, we describe the spontaneous breakdown of chiral symmetry; we derive within light-cone quantization the corresponding gap equations and the values of the chiral condensate.

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