Spontaneous symmetry breaking in light front field theory

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dc.creatorMartinovic, L.
dc.date2002-07-14
dc.date2008-01-28
dc.date.accessioned2026-07-07T12:16:54Z
dc.date.available2026-07-07T12:16:54Z
dc.descriptionA semiclassical picture of spontaneous symmetry breaking in light front field theory is formulated. It is based on a finite-volume quantization of self-interacting scalar fields obeying antiperiodic boundary conditions. This choice avoids a necessity to solve the zero mode constraint and enables one to define unitary operators which shift scalar field by a constant. The operators simultaneously transform the light-front vacuum to coherent states with lower energy than the Fock vacuum and with non-zero expectation value of the scalar field. The new vacuum states are non-invariant under the discrete or continuous symmetry of the Hamiltonian. Spontaneous symmetry breaking is described in this way in the two-dimensional λϕ^4 theory and in the three-dimensional O(2)-symmetric sigma model. A qualitative treatment of topological kink solutions in the first model and a derivation of the Goldstone theorem in the second one is given. Symmetry breaking in the case of periodic boundary conditions is also briefly discussed.
dc.description21 pages, 4 figures, improved content
dc.identifierhttps://arxiv.org/abs/hep-th/0207137
dc.identifierhttp://arxiv.org/abs/hep-th/0207137
dc.identifierPhys.Rev.D78:105009,2008
dc.identifierdoi:10.1103/PhysRevD.78.105009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211951
dc.subjectHigh Energy Physics - Theory
dc.titleSpontaneous symmetry breaking in light front field theory
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