Skip to main content
Log in

A Note on Stress-Energy Tensor and Variational Principle for Null Strings

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

Abstract

A straightforward application of the variational principle to null strings meets difficulties since string’s world-sheets are degenerate. It is known that the variational principle in this case can be formulated with the help of two-vector density on the string world-sheet which plays a role of Lagrange multipliers. It is shown that recently suggested stress-energy tensor of null strings can be derived by variation over the background metric of the action used to describe tensionless limit in the string theory. One of the Lagrange multipliers is related to the energy of the null string.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. A. Schild, “Classical null strings,” Phys. Rev. D 16, 1722 (1977).

    Article  ADS  Google Scholar 

  2. D. J. Gross and P. F. Mende, “The high-energy behavior of string scattering amplitudes,” Phys. Lett. B 197, 129–134 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  3. D. J. Gross and P. F. Mende, “String theory beyond the Planck scale,” Nucl. Phys. B 303, 407–454 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  4. D. V. Fursaev, “Physical effects of massless cosmic strings,” Phys. Rev. D 96, 104005 (2017). arXiv: 1707.02438.

  5. D. V. Fursaev, “Massless cosmic strings in expanding universe,” Phys. Rev. D 98, 123531 (2018). arXiv: 1811.01563.

  6. A. A. Zheltukhin, “Interaction of null strings and null membranes with antisymmetric tensor fields,” Phys. Lett. B 233, 112–116 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  7. U. Lindstrom, “The zero tension limit of strings and superstrings,” in INFN Eloisatron Project: 26th Workshop: From Superstrings to Supergravity (1993), Vol. 4, pp. 109–115. arXiv:hep-th/9303173.

  8. J. Isberg, U. Lindstrom, B. Sundborg, and G. Theodoridis, “Classical and quantized tensionless strings,” Nucl. Phys. B 411, 122–156 (1994). arXiv:hep-th/9307108.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. E. A. Davydov, D. V. Fursaev, and V. A. Tainov, “Null cosmic strings: scattering by black holes, optics, and spacetime content,” Phys. Rev. D 105, 083510 (2022). arXiv:2203.02673.

  10. D. Fursaev, “Optical equations for null strings,” Phys. Rev. D 103, 123526 (2021). arXiv:2104.04982.

Download references

Funding

This research is supported by Russian Science Foundation grant no. 22-22-00684, https://rscf.ru/project/22-22-00684/.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to D. V. Fursaev, E. A. Davydov or V. A. Tainov.

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

Fursaev, D.V., Davydov, E.A. & Tainov, V.A. A Note on Stress-Energy Tensor and Variational Principle for Null Strings. Phys. Part. Nuclei Lett. 20, 528–530 (2023). https://doi.org/10.1134/S1547477123030305

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477123030305

Navigation