An emergent world of gauge force and partons

• This paper shows how a gauge force can arise rigorously from a Mott insulator.
• Electrons are all fractionalized as dictated by this gauge force.
• Such exact formulation leads to a new emergent world of gauge fields and partons.
• The ground state and low-temperature phase well explains high-Tc cuprates.

We illustrate how a completely new world of gauge force emerges from a conventional condensed matter system in a rigorous way. A characteristic energy scale (Mott gap) separates such an exotic universe from the ordinary one that we condensed matter physicists are more familiar with at higher energies. The governing physical law is no longer about individual electrons but concerns fractionalized particles, i.e., partons, as the new collective modes resulted from strong correlation among the electrons. Novel phenomena in this low-energy universe are clearly distinguished from Landau׳s Fermi liquid described by the perturbative quantum many-body theory.

In this paper, we illustrate how a gauge force can emerge from a conventional condensed matter system in a rigorous way based on a Hubbard type model.Figure optionsDownload as PowerPoint slide