Fermion Condensates and the Trivial Vacuum of Light-Cone Quantum Field Theory

Abstract

We discuss the definition of condensates within light-cone quantum field theory. As the vacuum state in this formulation is trivial, we suggest to abstract vacuum properties from the particle spectrum. The latter can in principle be calculated by solving the eigenvalue problem of the light-cone Hamiltonian. We focus on fermionic condensates which are order parameters of chiral symmetry breaking. As a paradigm identity we use the Gell-Mann-Oakes-Renner relation between the quark condensate and the observable pion mass. We examine the analogues of this relation in the `t~Hooft and Schwinger model, respectively. A brief discussion of the Nambu-Jona-Lasinio model is added.

14 pages, no figures, latex2e

References in corpus (7)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• A renormalization group approach to Hamiltonian light-front field theory
• Trivial Vacua, High Orders in Perturbation Theory and Nontrivial Condensates
• Schwinger Model in the Light-Cone Representation
• Six-body Light-Front Tamm-Dancoff approximation and wave functions for the massive Schwinger model
• Chiral Condensate, Master Field and all that in $QC{D}_2(N\to \infty )$

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• Chiral Condensate and Short-Time Evolution of QCD(1+1) on the Light-Cone
• Calculations with DLCQ
• Normalization of the chiral condensate in the massive Schwinger model
• Variational Mass Perturbation Theory for Light-Front Bound-State Equations
• Dynamical Chiral Symmetry Breaking on the Light Front I. DLCQ Approach
• Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front
• Renormal-order improvement of the Schwinger mass