Patterns of Lorentz symmetry breaking in QED by CPT odd interaction

A tiny Lorentz symmetry breaking can be mediated in Electrodynamics by means of the Chern-Simons (CS) interaction polarized along a constant CS vector. Its presence makes the vacuum optically active that has been recently estimated from astrophysical data. We examine two possibilities for the CS vector to be time-like or space-like, under the assumption that it originates from v.e.v. of some pseudoscalar matter. It is shown that: a) a time-like CS vector makes the vacuum unstable under pairs creation of tachyonic photon modes with the finite vacuum decay rate, i.e. it is unlikely realized at macroscopic time scales; b) on the contrary, the space-like CS vector does not yield any tachyonic modes and, moreover, if its dynamical counterpart is substantially described by a scale invariant interaction, then the QED radiation effects induce the dynamical breaking of Lorentz symmetry, i.e. the occurrence of space-like CS vector appears to be rather natural.

Note:

9 pages, LaTeX, version to appear in Phys.Lett.B Report-no: DFUB-98/8; UB-ECM-PF-98/10

11.30.Qc
14.80.Mz
quantum electrodynamics
violation: Lorentz
Chern-Simons term
vacuum state: stability
photon: mass
violation: CPT
photon: tachyon
photon: dispersion relation

References(25)

Figures(0)

LORENTZ NONINVARIANCE

Holger Bech Nielsen
(
- Bohr Inst. and
- Nordita
)
,
I. Picek
(
- Bohr Inst.
)

- Nucl.Phys.B 211 (1983) 269-296,
- Nucl.Phys.B 242 (1984) 542-546 (addendum)
•
DOI:
- 10.1016/0550-3213(84)90408-5

Limits on a Lorentz and Parity Violating Modification of Electrodynamics

- Phys.Rev.D 41 (1990) 1231
•
DOI:
- 10.1103/PhysRevD.41.1231

Cosmic ray and neutrino tests of special relativity

Sidney R. Coleman
(
- Harvard U.
)
,
Sheldon L. Glashow
(
- Harvard U.
)

- Phys.Lett.B 405 (1997) 249-252
•
e-Print:
- hep-ph/9703240
•
DOI:
- 10.1016/S0370-2693(97)00638-2

Indication of anisotropy in electromagnetic propagation over cosmological distances

Borge Nodland
(
- Rochester U.
)
,
John P. Ralston
(
- Kansas U.
)

- Phys.Rev.Lett. 78 (1997) 3043-3046
•
e-Print:
- astro-ph/9704196
•
DOI:
- 10.1103/PhysRevLett.78.3043

Response to Eisenstein and Bunn's null hypothesis comment on cosmological birefringence

Borge Nodland
(
- Rochester U.
)
,
John P. Ralston
(
- Kansas U.
)

- Phys.Rev.Lett. 79 (1997) 1958-1959
•
e-Print:
- astro-ph/9705190
•
DOI:
- 10.1103/PhysRevLett.79.1958

Effects of a Nambu-Goldstone boson on the polarization of radio galaxies and the cosmic microwave background

Diego Harari
(
- Florida U.
)
,
Pierre Sikivie
(
- Florida U.
)

- Phys.Lett.B 289 (1992) 67-72
•
DOI:
- 10.1016/0370-2693(92)91363-E

Polarization dependent bending of light by the axion hair of black holes

- Phys.Rev.D 48 (1993) 1526-1529
•
DOI:
- 10.1103/PhysRevD.48.1526

Stellar and scattered light in a radio galaxy at z = 2.63

- Astrophys.J. 422 (1994) 562
•
DOI:
- 10.1086/173749

A New test of the Einstein equivalence principle and the isotropy of space

Mark P. Haugan
(
- Purdue U.
)
,
Thierry F. Kauffmann
(
- Purdue U.
)

- Phys.Rev.D 52 (1995) 3168-3175
•
e-Print:
- gr-qc/9504032
•
DOI:
- 10.1103/PhysRevD.52.3168

Limits on the chirality of interstellar and intergalactic space

- J.Astrophys.Astron. 17 (1996) 17
•
DOI:
- 10.1007/BF02709342

Comment on the appropriate null hypothesis for cosmological birefringence

- Phys.Rev.Lett. 79 (1997) 1957-1958
•
e-Print:
- astro-ph/9704247
•
DOI:
- 10.1103/PhysRevLett.79.1957

- Phys.Rev.Lett. 79 2934

Comment on the measurement of cosmological birefringence

J.P. Leahy
(
- Manchester U.
)

e-Print:
- astro-ph/9704285

Observational evidence against birefringence over cosmological distances

- Phys.Rev.Lett. 79 (1997) 1801-1804
•
e-Print:
- astro-ph/9705142
•
DOI:
- 10.1103/PhysRevLett.79.1801

- Phys.Rev.D 56 7057

Response to Leahy's comment on the data's indication of cosmological birefringence

Borge Nodland
(
- Rochester U.
)
,
John P. Ralston
(
- Kansas U.
)

e-Print:
- astro-ph/9706126

Anisotropy in the propagation of radio polarizations from cosmologically distant galaxies

Pankaj Jain
(
- Indian Inst. Tech., Kanpur
)
,
John P. Ralston
(
- Kansas U.
)

- Mod.Phys.Lett.A 14 (1999) 417-432
•
e-Print:
- astro-ph/9803164
•
DOI:
- 10.1142/S0217732399000481

Lorentz symmetry breaking in Abelian vector field models with Wess-Zumino interaction

Alexander A. Andrianov
(
- St. Petersburg State U.
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- Phys.Rev.D 51 (1995) 5961-5964
•
e-Print:
- hep-th/9405147
•
DOI:
- 10.1103/PhysRevD.51.5961

Dynamical Lorentz symmetry breaking from (3+1) renormalizable model with Wess-Zumino interaction

Alexander A. Andrianov
(
- St. Petersburg State U.
)
,
R. Soldati
(
- Bologna U. and
- INFN, Bologna
)

- ,
- In *St. Petersburg 1996, High energy physics and quantum field theory* 290-296
•
e-Print:
- hep-th/9612156

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

Sidney R. Coleman
(
- Harvard U.
)
,
Erick J. Weinberg
(
- Harvard U.
)

- Phys.Rev.D 7 (1973) 1888-1910,
- Also in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 57-79,
- In *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 589-611.
•
DOI:
- 10.1103/PhysRevD.7.1888

Standard Model anomalies in curved space-time with torsion

Antonio Dobado
(
- Madrid U.
)
,
Antonio Lopez Maroto
(
- Madrid U.
)

- Phys.Rev.D 54 (1996) 5185-5194
•
e-Print:
- hep-ph/9509227
•
DOI:
- 10.1103/PhysRevD.54.5185

Primordial torsion fields as an explanation of the anisotropy in electromagnetic propagation over cosmological distances

Antonio Dobado
(
- Madrid U.
)
,
Antonio Lopez Maroto
(
- Madrid, Autonoma U.
)

- Mod.Phys.Lett.A 12 (1997) 3003-3007
•
e-Print:
- astro-ph/9706044
•
DOI:
- 10.1142/S0217732397003125

Equivalence Principles and Electromagnetism

Wei-Tou Ni
(
- Montana State U. and
- Taiwan, Natl. Tsing Hua U.
)

- Phys.Rev.Lett. 38 (1977) 301-304
•
DOI:
- 10.1103/PhysRevLett.38.301

Propagating Torsion and Electromagnetic Gauge Invariance

V. De Sabbata
(
- Ferrara U.
)
,
M. Gasperini
(
- Ferrara U.
)

- Phys.Lett.A 83 (1981) 115-117
•
DOI:
- 10.1016/0375-9601(81)90510-7

The Cosmology of string theoretic axions

Tom Banks
(
- Rutgers U., Piscataway
)
,
Michael Dine
(
- UC, Santa Cruz
)

- Nucl.Phys.B 505 (1997) 445-460
•
e-Print:
- hep-th/9608197
•
DOI:
- 10.1016/S0550-3213(97)00413-6