Abstract
We investigate classical and quantum dynamics of relativistic particle in 2-dimensional space-time with constant curvature. Singularities of space-time metric, in case of negative curvature, lead to creation and annihilation phenomenon at the classical level. In case of positive curvature, anomaly free quantization leads to discretization of particle mass.
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References
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Jorjadze, G., Piechocki, W., (1998): Class. Quantum Grav. 18, L41
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© 2000 Springer-Verlag Berlin Heidelberg
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Jorjadze, G., Piechocki, W. (2000). Particle in Curved 2d Space-Time. In: Borowiec, A., Cegła, W., Jancewicz, B., Karwowski, W. (eds) Theoretical Physics Fin de Siècle. Lecture Notes in Physics, vol 539. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46700-9_18
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DOI: https://doi.org/10.1007/3-540-46700-9_18
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