Research PapersNo Access

INFLUENCE OF LORENTZ- AND CPT-VIOLATING TERMS ON THE DIRAC EQUATION

Universidade Federal do Maranhão (UFMA), Departamento de Física, Campus Universitário do Bacanga, São Luiz – MA, 65085-580, Brazil

Search for more papers by this author

and

FERNANDO M. O. MOUCHEREK

Universidade Federal do Maranhão (UFMA), Departamento de Física, Campus Universitário do Bacanga, São Luiz – MA, 65085-580, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0217751X06033842Cited by:37 (Source: Crossref)

Abstract

The influence of Lorentz- and CPT-violating terms (in "vector" and "axial vector" couplings) on the Dirac equation is explicitly analyzed: plane-wave solutions, dispersion relations and eigenenergies are explicitly obtained. The nonrelativistic limit is worked out and the Lorentz-violating Hamiltonian identified in both cases, in full agreement with the results already established in the literature. Finally, the physical implications of this Hamiltonian on the spectrum of hydrogen are evaluated both in the absence and presence of a magnetic external field. It is observed that the fixed background, when considered in a vector coupling, yields no qualitative modification in the hydrogen spectrum, whereas it does provide an effective Zeeman-like splitting of the spectral lines whenever coupled in the axial vector form. It is also argued that the presence of an external fixed field does not imply new modifications on the spectrum.

Keywords:

PACS: 11.30.Cp, 11.30.Er, 11.55.Fv

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

S. M. Carroll, G. B. Field and R. Jackiw, Phys. Rev. D 41, 1231 (1990). Web of Science, ADS, Google Scholar
D. Colladay and V. A. Kostelecký, Phys. Rev. D 55, 6760 (1997). Web of Science, ADS, Google Scholar
D. Colladay and V. A. Kostelecký, Phys. Rev. D 58, 116002 (1998). Web of Science, ADS, Google Scholar
V. A. Kostelecky and S. Samuel, Phys. Rev. D 39, 683 (1989). Web of Science, ADS, Google Scholar
V. A. Kostelecky and R. Potting, Nucl. Phys. B 359, 545 (1991). ADS, Google Scholar
V. A. Kostelecky and R. Potting, Phys. Rev. D 51, 3923 (1995). Web of Science, ADS, Google Scholar
S. M. Carrollet al., Phys. Rev. Lett. 87, 141601 (2001). Web of Science, ADS, Google Scholar
A. Anisimovet al., Phys. Rev. D 65, 085032 (2002). Web of Science, Google Scholar
C. E. Carlsonet al., Phys. Lett. B 518, 201 (2001). Web of Science, ADS, Google Scholar
J. L. Hewett, F. J. Petriello and T. G. Rizzo, Phys. Rev. D 64, 075012 (2001). Web of Science, Google Scholar
O. Bertolami and L. Guisado, J. High Energy Phys. 0312, 013 (2003). ADS, Google Scholar
V. A. Kostelecky, R. Lehnert and M. Perry, Phys. Rev. D 68, 123511 (2003). Web of Science, ADS, Google Scholar
O. Bertolamiet al., Phys. Rev. D 68, 083513 (2004). Google Scholar
O. Bertolami, Class. Quantum Grav. 14, 2785 (1997). Web of Science, ADS, Google Scholar
J. Alfaro, H. A. Morales-Tecotl and L. F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000). Web of Science, ADS, Google Scholar
J. Alfaro, H. A. Morales-Tecotl and L. F. Urrutia, Phys. Rev. D 65, 103509 (2002). Web of Science, Google Scholar
G. Amelino-Cameliaet al., Nature (London) 393, 763 (1998). Web of Science, ADS, Google Scholar
D. Sudarsky, L. Urrutia and H. Vucetich, Phys. Rev. D 68, 024010 (2003). Web of Science, Google Scholar
S. R. Coleman and S. L. Glashow, Phys. Rev. D 59, 116008 (1999). Web of Science, ADS, Google Scholar
V. A. Kostelecký and M. Mewes, Phys. Rev. Lett. 87, 251304 (2001). Web of Science, ADS, Google Scholar
V. A. Kostelecký and M. Mewes, Phys. Rev. D 66, 056005 (2002). Web of Science, Google Scholar
C. Adam and F. R. Klinkhamer, Nucl. Phys. B 607, 247 (2001). Web of Science, ADS, Google Scholar
C. Adam and F. R. Klinkhamer, Phys. Lett. B 513, 245 (2001). Web of Science, ADS, Google Scholar
V. A. Kostelecky and R. Lehnert, Phys. Rev. D 63, 065008 (2001). Web of Science, Google Scholar
R. Lehnert, Phys. Rev. D 68, 085003 (2003). Web of Science, Google Scholar
M. Frank and I. Turan, Phys. Rev. D 74, 03316 (2006). Web of Science, Google Scholar
R. Montemayor and L. F. Urrutia, Phys. Rev. D 72, 045018 (2005). Web of Science, Google Scholar
Q. G. Bailey and V. A. Kostelecky, Phys. Rev. D 70, 076006 (2004). Web of Science, Google Scholar
B. Altschul, Phys. Rev. D 72, 085003 (2005). Web of Science, Google Scholar
B. Altschul, Phys. Rev. D 70, 056005 (2004). Web of Science, Google Scholar
F. A. Britoet al., J. High Energy Phys. 0510, 019 (2005). Google Scholar
O. Gagnon and G. D. Moore, Phys. Rev. D 70, 065002 (2004). Web of Science, Google Scholar
L. P. Colatto, A. L. A. Penna and W. C. Santos, Eur. Phys. J. C 36, 79 (2004). Web of Science, ADS, Google Scholar
M. Lubo, Phys. Rev. D 71, 047701 (2005). Web of Science, Google Scholar
P. A. Bolokhov, S. G. Nibbelink and M. Pospelov, Phys. Rev. D 72, 015013 (2005). Web of Science, Google Scholar
M. M. Ferreira Jr., Phys. Rev. D 70, 045013 (2004). Web of Science, Google Scholar
M. M. Ferreira Jr., Phys. Rev. D 71, 045003 (2005). Web of Science, Google Scholar
A. A. Andrianov and R. Soldati, Phys. Rev. D 51, 5961 (1995). Web of Science, Google Scholar
A. A. Andrianov and R. Soldati, Phys. Lett. B 435, 449 (1998). Web of Science, ADS, Google Scholar
A. A. Andrianov, R. Soldati and L. Sorbo, Phys. Rev. D 59, 025002 (1999). Web of Science, Google Scholar
R. Jackiw and V. A. Kostelecký, Phys. Rev. Lett. 82, 3572 (1999). Web of Science, ADS, Google Scholar
J. M. Chung and B. K. Chung, Phys. Rev. D 63, 105015 (2001). Web of Science, Google Scholar
J. M. Chung, Phys. Rev. D 60, 127901 (1999). Web of Science, ADS, Google Scholar
G. Bonneau, Nucl. Phys. B 593, 398 (2001). Web of Science, ADS, Google Scholar
M. Perez-Victoria, Phys. Rev. Lett. 83, 2518 (1999). Web of Science, ADS, Google Scholar
M. Perez-Victoria, J. High Energy Phys. 0104, 032 (2001). ADS, Google Scholar
A. P. Baêta Scarpelliet al., Phys. Rev. D 64, 046013 (2001). Web of Science, Google Scholar
O. A. Battistel and G. Dallabona, Nucl. Phys. B 610, 316 (2001). Web of Science, ADS, Google Scholar
O. A. Battistel and G. Dallabona, J. Phys. G 28, 125017 (2002). Google Scholar
R. Lehnert and R. Potting, Phys. Rev. Lett. 93, 110402 (2004). Web of Science, Google Scholar
R. Lehnert and R. Potting, Phys. Rev. D 70, 125010 (2004). Web of Science, ADS, Google Scholar
O. Bertolami, Gen. Relativ. Gravit. 34, 707 (2002). Web of Science, ADS, Google Scholar
O. Bertolami and C. S. Carvalho, Phys. Rev. D 61, 103002 (2000). Web of Science, Google Scholar
A. P. Baêta Scarpelliet al., Phys. Rev. D 67, 085021 (2003). Web of Science, Google Scholar
H. Belichet al., Phys. Rev. D 67, 125011 (2003). Web of Science, ADS, Google Scholar
H. Belichet al., Phys. Rev. D 68, 025005 (2003). Web of Science, Google Scholar
H. Belichet al., Phys. Rev. D 68, 065030 (2003). Web of Science, Google Scholar
H. Belichet al., Nucl. Phys. B (Proc. Suppl.) 127, 105 (2004). Web of Science, ADS, Google Scholar
H. Belich, M. M. Ferreira Jr. and J. A. Helayël-Neto, Eur. Phys. J. C 38, 511 (2005). Web of Science, ADS, Google Scholar
H. Belichet al., Eur. Phys. J. C 42, 127 (2005). Web of Science, ADS, Google Scholar
R. Bluhm, V. A. Kostelecky and N. Russell, Phys. Rev. Lett. 79, 1432 (1997). Web of Science, ADS, Google Scholar
R. Bluhm, V. A. Kostelecky and N. Russell, Phys. Rev. D 57, 3932 (1998). Web of Science, ADS, Google Scholar
R. Bluhmet al., Phys. Rev. Lett. 88, 090801 (2002). Web of Science, Google Scholar
V. A. Kostelecky and N. Russell, Phys. Rev. Lett. 82, 2254 (1999). Web of Science, Google Scholar
R. Bluhm, V. A. Kostelecky and C. D. Lane, Phys. Rev. Lett. 84, 1098 (2000). Web of Science, Google Scholar
R. Bluhm and V. A. Kostelecky, Phys. Rev. Lett. 84, 1381 (2000). Web of Science, ADS, Google Scholar
V. A. Kostelecky and C. D. Lane, J. Math. Phys. 40, 6245 (1999). Web of Science, ADS, Google Scholar
R. Lehnert, J. Math. Phys. 45, 3399 (2004). Web of Science, ADS, Google Scholar
V. A. Kostelecky and C. Lane, Phys. Rev. D 60, 116010 (1999). Web of Science, ADS, Google Scholar
G. M. Shore, Nucl. Phys. B 717, 86 (2005). Web of Science, ADS, Google Scholar
H. Belichet al., Eur. Phys. J. C 41, 421 (2005). Web of Science, ADS, Google Scholar
H. Belich, T. Costa-Soares, M. M. Ferreira, Jr., J. A. Helayël-Neto and F. M. O. Mouchereck , hep-th/0604149 . Google Scholar
L. H. Ryder and I. L. Shapiro, Phys. Lett. A 247, 21 (1998). Web of Science, ADS, Google Scholar
I. L. Shapiro, Phys. Rep. 357, 113 (2002). Web of Science, ADS, Google Scholar