Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front

Abstract

Spontaneous symmetry breaking is studied within a simple version of the light-front sigma model with fermions. Its vacuum structure is derived by an implementation of global symmetries in terms of unitary operators in a finite volume with periodic fermi field. Due to the dynamical fermion zero mode, the vector and axial U(1) charges do not annihilate the light-front vacuum. The latter is transformed into a continuous set of degenerate vacuum states, leading to to the spontaneous breakdown of the axial symmetry. The existence of associated massless Nambu-Goldstone boson is demonstrated.

9 pages, latex

References in corpus (5)

• Zero Mode and Symmetry Breaking on the Light Front
• The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory
• Dynamical Chiral Symmetry Breaking on the Light Front I. DLCQ Approach
• Large Gauge Transformations and the Light-Front Vacuum Structure
• Gap Equations from Fermionic Constraints on the Light-Front

Cited by in corpus (4)

• Space-like and time-like pion electromagnetic form factor and Fock state components within the Light-Front dynamics
• Nonperturbative light-front Hamiltonian methods
• Spontaneous symmetry breaking in light front field theory
• Chiral Symmetry in Light-front QCD