Chiral Condensates in the Light-Cone Vacuum

Abstract

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.

arXiv commentLatex, 9 pages, no figure

References in corpus (7)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
• NJL model on the light cone and pion structure function
• Spontaneous symmetry breaking of (1+1)-dimensional ${\varphi }^4$ theory in light-front field theory (II)
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Cited by in corpus (3)

• Chiral Condensate and Short-Time Evolution of QCD(1+1) on the Light-Cone
• Chiral Symmetry in Light-Cone Field Theory
• Spontaneously broken quark helicity symmetry