Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory
@inproceedings{Froggatt2002DerivationOL, title={Derivation of Lorentz Invariance and Three Space Dimensions in Generic Field Theory}, author={Colin D. Froggatt and Holger Bech Nielsen}, year={2002} }
A very general quantum eld theory, which is not even assumed to be Lorentz invariant, is studied in the limit of very low energy excitations. Fermion and Boson eld theories are considered in parallel. Remarkably, in both cases it is argued that, in the free and lowest energy approximation, a relativistic theory with just three space and one time dimension emerges for each particle type separately. In the case of Fermion elds it is in the form of the Weyl equation, while in the case of the…
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References
SHOWING 1-7 OF 7 REFERENCES
On the Origin of Symmetries
- Physics, Mathematics
- 2002
We reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. This invariance could only be imposed in the sense that all non-invariant effects caused…
Phys
- Rev. D55 (1997) 6760; D. Colladay and V. A. Kostelecky, Phys. Rev. D58 (1998) 116002; D. Colladay and P. McDonald, J. Math. Phys. 43
- 2002
CPT and Lorentz Symmetry II
- CPT and Lorentz Symmetry II
- 1999
Proc. Roy. Soc. London A161
- Proc. Roy. Soc. London A161
- 1937
Proc
- Roy. Soc. London A161
- 1937
Phys. Rev. D55 Phys. Rev. J. Math. Phys
- Phys. Rev. D55 Phys. Rev. J. Math. Phys
- 1997