Skip to main content
SpringerLink
Log in

Global Conserved Quantities and Unfree Gauge Symmetry

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

We consider a class of theories with unfree gauge symmetry, whose gauge parameters are restricted by differential equations. We demonstrate that such theories admit global conserved quantities, whose on-shell values are defined by asymptotics of the fields rather than Cauchy data. The global conserved quantities can be deduced proceeding from the equations restricting gauge parameters, and they are treated differently by two BRST complexes corresponding to a system with unfree gauge symmetry.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. D. S. Kaparulin and S. L. Lyakhovich, “A note on unfree gauge symmetry,” Nucl. Phys. B 947, 114735 (2019); arXiv: 1904.04038 [hep-th]. https://doi.org/10.1016/j.nuclphysb.2019.114735

  2. E. D. Skvortsov and M. A. Vasiliev, “Transverse invariant higher-spin fields,” Phys. Lett. B 664, 301–306 (2008); arXiv: hep-th/0701278. https://doi.org/10.1016/j.physletb.2008.05.043

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. A. Campoleoni and D. Francia, “Maxwell-like Lagrangians for higher spins,” J. High Energy Phys. 1303, 168 (2013); arXiv: 1206.5877 [hep-th]. https://doi.org/10.1007/JHEP03(2013)168

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. V. A. Abakumova and S. L. Lyakhovich, “Hamiltonian constraints and unfree gauge symmetry,” Phys. Rev. D 102, 125003 (2020); arXiv: 2009.02848 [hep-th]. https://doi.org/10.1103/PhysRevD.102.125003

  5. V. A. Abakumova, I. Yu. Karataeva, and S. L. Lyakhovich, “Reducible gauge symmetry versus unfree gauge symmetry in Hamiltonian formalism,” Nucl. Phys. B 973, 115577 (2021); arXiv: 2108.12833 [hep-th]. https://doi.org/10.1016/j.nuclphysb.2021.115577

  6. D. Francia, S. L. Lyakhovich, and A. A. Sharapov, “On the gauge symmetries of Maxwell-like higher-spin Lagrangians,” Nucl. Phys. B 881, 248–268 (2014); arXiv: 1310.8589 [hep-th]. https://doi.org/10.1016/j.nuclphysb.2014.02.001

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. V. A. Abakumova, I. Yu. Karataeva, and S. L. Lyakhovich, “Unfree gauge symmetry in the Hamiltonian formalism,” Phys. Lett. B 802, 1352081 (2020); arXiv: 1911.11548 [hep-th]. https://doi.org/10.1016/j.physletb.2020.135208

  8. V. A. Abakumova and S. L. Lyakhovich, “Hamiltonian BFV-BRST quantization for the systems with unfree gauge symmetry,” AIP Conf. Proc. 2377, 090001 (2021); arXiv: 2104.14077 [hep-th]. https://doi.org/10.1063/5.0063632

Download references

ACKNOWLEDGMENTS

The work is supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.

Author information

Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    V. Abakumova & S. Lyakhovich

Authors
  1. V. Abakumova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Lyakhovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to V. Abakumova or S. Lyakhovich.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abakumova, V., Lyakhovich, S. Global Conserved Quantities and Unfree Gauge Symmetry. Phys. Part. Nuclei Lett. 19, 451–453 (2022). https://doi.org/10.1134/S1547477122050028

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477122050028

Search

Navigation