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From physical symmetries to emergent gauge symmetries

  • Carlos Barceló
  • Raúl Carballo-Rubio
  • Francesco Di FilippoEmail author
  • Luis J. Garay
Open Access
Regular Article - Theoretical Physics

Abstract

Gauge symmetries indicate redundancies in the description of the relevant degrees of freedom of a given field theory and restrict the nature of observable quantities. One of the problems faced by emergent theories of relativistic fields is to understand how gauge symmetries can show up in systems that contain no trace of these symmetries at a more fundamental level. In this paper we start a systematic study aimed to establish a satisfactory mathematical and physical picture of this issue, dealing first with abelian field theories. We discuss how the trivialization, due to the decoupling and lack of excitation of some degrees of freedom, of the Noether currents associated with physical symmetries leads to emergent gauge symmetries in specific situations. An example of a relativistic field theory of a vector field is worked out in detail in order to make explicit how this mechanism works and to clarify the physics behind it. The interplay of these ideas with well-known results of importance to the emergent gravity program, such as the Weinberg-Witten theorem, are discussed.

Keywords

Gauge Symmetry Global Symmetries Models of Quantum Gravity Effective field theories 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Carlos Barceló
    • 1
  • Raúl Carballo-Rubio
    • 1
    • 2
  • Francesco Di Filippo
    • 1
    • 3
    Email author
  • Luis J. Garay
    • 4
    • 5
  1. 1.Instituto de Astrofísica de Andalucía (IAA-CSIC)GranadaSpain
  2. 2.Laboratory for Quantum Gravity & Strings, Department of Mathematics & Applied MathematicsUniversity of Cape TownRondeboschSouth Africa
  3. 3.Dipartamento di Scienze Fisiche “E.R. Caianiello”Università di SalernoFisciano (SA)Italy
  4. 4.Departamento de Física Teórica IIUniversidad Complutense de MadridMadridSpain
  5. 5.Instituto de Estructura de la Materia (IEM-CSIC)MadridSpain

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