Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front
High Energy Physics - Theory
2011-07-19 v1
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.
Cite
@article{arxiv.hep-th/0006078,
title = {Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front},
author = {L. Martinovic and J. P. Vary},
journal= {arXiv preprint arXiv:hep-th/0006078},
year = {2011}
}
Comments
9 pages, latex