Emergent electrodynamics from the Nambu model for spontaneous Lorentz symmetry breaking

Abstract

After imposing the Gauss law constraint as an initial condition upon the Hilbert space of the Nambu model, in all its generic realizations, we recover QED in the corresponding non-linear gauge A_μA^μ=n^{2}M^{2}. Our result is non-perturbative in the parameter M for n^{2}\neq 0 and can be extended to the n^{2}=0 case. This shows that in the Nambu model, spontaneous Lorentz symmetry breaking dynamically generates gauge invariance, provided the Gauss law is imposed as an initial condition. In this way electrodynamics is recovered, with the photon being realized as the Nambu-Goldstone modes of the spontaneously broken symmetry, which finally turns out to be non-observable

17 pages

References in corpus (2)

• Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as Pseudo-Goldstone Vector Bosons
• Deriving Gauge Symmetry and Spontaneous Lorentz Violation

Cited by in corpus (10)

• On the equivalence between bumblebee models and electrodynamics in a non-linear gauge
• The Goldstone Theorem in non-linear electrodynamics
• Emergent gauge theories and supersymmetry: a QED primer
• Observational Constraints on Local Lorentz Invariance
• Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED
• Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken Supersymmetry
• Extended Nambu Models: their relation to gauge theories
• Gauge Fields as Constrained Composite Bosons
• Emergence of Yang Mills theory from the Non-Abelian Nambu Model
• On the lightlike Lorentz violation