Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Higher spatial derivative field theories

Pedro R. S. Gomes* and M. Gomes

  • Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo, SP, Brazil

  • *pedrorsg@fma.if.usp.br
  • mgomes@fma.if.usp.br

Phys. Rev. D 85, 085018 – Published 17 April, 2012Erratum Phys. Rev. D 85, 089909 (2012)

DOI: https://doi.org/10.1103/PhysRevD.85.085018

Abstract

In this work, we employ renormalization group methods to study the general behavior of field theories possessing anisotropic scaling in the spacetime variables. The Lorentz symmetry breaking that accompanies these models are either soft, if no higher spatial derivative is present, or it may have a more complex structure if higher spatial derivatives are also included. Both situations are discussed in models with only scalar fields and also in models with fermions as a Yukawa-like model.

Corrections

19 April, 2012

Erratum

Article Text

References (16)

  1. P. Horava, Phys. Rev. D 79, 084008 (2009); J. High Energy Phys. 03 (2009) 020; M. Henneaux, A. Kleinschmidt, and G. Lucena Gomez, Phys. Rev. D 81, 064002 (2010); D. Blas, O. Pujolas, and S. Sibiryakov, Phys. Rev. Lett. 104, 181302 (2010).
  2. D. Anselmi and M. Halat, Phys. Rev. D 76, 125011 (2007); D. Anselmi, Ann. Phys. (N.Y.) 324, 874 (2009); 324, 1058 (2009); M. Visser, Phys. Rev. D 80, 025011 (2009).
  3. S. W. Hawking and Thomas Hertog, Phys. Rev. D 65, 103515 (2002); I. Antoniadis, E. Dudas, and D. M. Ghilencea, Nucl. Phys. B767, 29 (2007).
  4. G. Calcagni, J. High Energy Phys. 09 (2009) 112; R. Brandenberger, Phys. Rev. D 80, 043516 (2009); D. Orlando and S. Reffert, Classical Quantum Gravity 26, 155021 (2009); Phys. Lett. B 683, 62 (2010); S. R. Das and G. Murthy, Phys. Rev. Lett. 104, 181601 (2010); E. N. Saridakis, Eur. Phys. J. C 67, 229 (2010); A. Dhar, G. Mandal, and S. R. Wadia, Phys. Rev. D 80, 105018 (2009); A. Dhar, G. Mandal, and P. Nag, 81, 085005 (2010); J. Alexandre, K. Farakos, P. Pasipoularides, and A. Tsapalis, 81, 045002 (2010); J. Alexandre, N. E. Mavromatos, D. Yawitch, 82, 125014 (2010); B. Chen and Q. Huang, Phys. Lett. B 683, 108 (2010).
  5. R. Iengo, J. G. Russo, and M. Serone, J. High Energy Phys. 11 (2009) 020.
  6. R. Iengo and M. Serone, Phys. Rev. D 81, 125005 (2010).
  7. W. Zimmermann, in Lectures on Elementary Particles and Quantum Field Theory, edited by S. Deser, M. Grisaru, and H. Pendleton (MIT, Cambridge, Massachussetts, 1970), p. 397.
  8. J. H. Lowenstein, Phys. Rev. D 4, 2281 (1971).
  9. D. Anselmi, J. High Energy Phys. 02 (2008) 051; D. Albrecht, Phys. Rev. D 83, 045029 (2011).
  10. G. ’t Hooft and M. J. G. Veltman, Report No. CERN-73-09, 1973.
  11. C. Mergulhão and C. E. I. Carneiro, Phys. Rev. B 59, 13954 (1999).
  12. W. Chen, G. W. Semenoff, and Y. S. Wu, Phys. Rev. D 46, 5521 (1992); W. Siegel, Phys. Lett. 84B, 193 (1979); S. J. Gates, M. T. Grisaru, M. Rocek, and W. Siegel, Superspace (Benjamin Cummings, Reading, MA, 1983).
  13. J. C. Collins, Renormalization (Cambridge University Press, Cambridge, England, 1984).
  14. Pedro R. S. Gomes and M. Gomes, Phys. Rev. D 85, 065010 (2012).
  15. Igor Herbut, A Modern Approach to Critical Phenomena (Cambridge University Press, Cambridge, England, 2007).
  16. R. M. Hornreich, J. Magn. Magn. Mater. 15-18, 387 (1980).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation