Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front

Details Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front

2000-06-12

arxiv.org/abs/hep-th/0006078v1

Phys.Rev.D64:105016,2001

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex

Scientific paper

10.1103/PhysRevD.64.105016

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.

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