Manifestly conformally covariant field theories

Examensarbete för masterexamen

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Type: Examensarbete för masterexamen
Master Thesis
Title: Manifestly conformally covariant field theories
Authors: Arvidsson, Pär
Abstract: In this thesis, a manifestly conformally covariant way of formulating free and interacting field theories is treated. The generators and the commutation relations of the conformal algebra are obtained and it is shown that the conformal group acts linearly in a six-dimensional space. This space has one extra time-like and one extra space-like dimension as compared to the ordinary four-dimensional space-time. This means that manifestly conformally covariant Lagrangians and field equations may be formulated. Projections from the six-dimensional conformal space to the four-dimensional Minkowski space are derived for both differential operators and fields. Manifestly covariant Lagrangians and field equations are given not only for free scalar, spinor and vector fields, but also for interacting field theories. The formalism is also applied to linearized gravitational fields in conformal gravity.
Keywords: Fysik;Physical Sciences
Issue Date: 2001
Publisher: Chalmers tekniska högskola / Institutionen för teoretisk fysik och mekanik
Chalmers University of Technology / Department of Theoretical Physics and Mechanics
URI: https://hdl.handle.net/20.500.12380/1567
Collection:Examensarbeten för masterexamen // Master Theses



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