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Relativistic Rigid Particles: Classical Tachyons and Quantum Anomalies | | Jan Govaerts
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31 Jul 1992 | | Journal: | Z.Phys. C57 (1993) 59-74 | | Subject: | hep-th | | Abstract: | Causal rigid particles whose action includes an {it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {it causal tachyonic} ones. The Hamiltonian formulation is developed in detail except for one degenerate situation for which only partial results are given and requiring a separate analysis. However, for otherwise generic rigid particles, the precise specification of Hamiltonian gauge symmetries is obtained with in particular the identification of the Teichm$ddot{
m u}$ller and modular spaces for these systems. Finally, canonical quantisation of the generic case is performed paying special attention to the phase space restriction due to causal propagation. A mixed Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with world-line reparametrisations. The subspace of gauge invariant physical states is therefore not invariant under Lorentz transformations. Consequences for rigid strings and membranes are also discussed. | | Source: | arXiv, hep-th/9207110 | | Services: | Forum | Review | PDF | Favorites | |
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