Tomaschitz, R. (1994). Cosmological CP violation, Journal of Mathematical Physics 35, 1573-1596, DOI: 10.1063/1.530608
Abstract (AIP, CDS, SAO/NASA ADS, Zbl 0801.58044)
Spinor fields are studied in infinite, topologically multiply connected Robertson–Walker cosmologies. Unitary spinor representations for the discrete covering groups of the spacelike slices are constructed. The spectral resolution of Dirac’s equation is given in terms of horospherical elementary waves, on which the treatment of spin and energy is based in these cosmologies. The meaning of the energy and the particle–antiparticle concept is explained in the context of this varying cosmic background. Discrete symmetries, in particular inversions of the multiply connected spacelike slices, are studied. The violation of the unitarity of the parity operator, due to self-interference of P-reflected wave packets, is discussed. The violation of the CP and CPT invariance – already on the level of the free Dirac equation on this cosmological background – is pointed out.
CP INVARIANCE, SPINOR FIELDS, COSMOLOGICAL MODELS, UNITARITY, DIRAC EQUATION, SPECTRAL RESOLUTION, ENERGY, PARITY, CPT THEOREM, TOPOLOGY, METRICS
98.80.Jk
Mathematical and relativistic aspects of cosmology
11.30.Er
Charge conjugation, parity, time reversal, and other discrete symmetries
03.65.Pm
Relativistic wave equations
02.40.Vh
Global analysis and analysis on manifolds
Zbl
0801.58044
Tomaschitz, Roman
Cosmological $CP$ violation
[J] J.
Math. Phys. 35, No.4, 1573-1596 (1994). ISSN 0022-2488
MSC
2000:
*58Z05
Appl. of global analysis to physics
83F05 Relativistic cosmology
Keywords: cosmology; spinor fields
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Cosmological CP violation |
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Tomaschitz, Roman |
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Journal of Mathematical Physics, Volume 35, Issue 4, April 1994, pp.1573-1596 |
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04/1994 |
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description: Roman Tomaschitz (1994) Cosmological CP violation, Journal of Mathematical Physics 35, 1573.
Keywords: open Robertson–Walker cosmology, multiply connected hyperbolic 3-space, CP violation by topological self-interference, parity violation, spectral decomposition of spinor fields on open hyperbolic 3-manifolds, Dirac equation, spin operators, polarization, horospherical triads, spinorial Poincaré series and point-pair invariants, Eisenstein series, fractal limit sets of Kleinian covering groups, Schottky groups, quasi-Fuchsian groups, Hausdorff dimension, Möbius transformations in the Poincaré half-space, discrete subgroups of the Lorentz group, automorphic spinor fields, Poisson kernel, semiclassical approximation, universal covering projection, time-inversion and space-reflection symmetries
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