Chiral condensates in the lightcone vacuum
Abstract
In lightcone quantization, the standard procedure to characterize the phases of a system by appropriate ground state expectation values fails. The lightcone 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 (lightcone) time limit. These quantities differ from the purely kinematical expectation values of the corresponding Schrödinger operators. For the NambuJonaLasinio and the GrossNeveu model, we describe the spontaneous breakdown of chiral symmetry; we derive within lightcone quantization the corresponding gap equations and the values of the chiral condensate.
 Publication:

Physical Review D
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevD.63.045018
 arXiv:
 arXiv:hepth/0007081
 Bibcode:
 2001PhRvD..63d5018L
 Keywords:

 11.30.Qc;
 11.30.Rd;
 Spontaneous and radiative symmetry breaking;
 Chiral symmetries;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 Latex, 9 pages, no figure