Titlebook: Symmetries in Fundamental Physics; Kurt Sundermeyer Book 2014Latest edition Springer International Publishing Switzerland 2014 Galilei Gro

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Relativistic Field Theory,ld variants as enforced by Lorentz symmetry. Generic requirements of action functionals in a (quantum) field theory are formulated. Next appropriate actions are derived for the various field variants. By building Lorentz scalars from the fields and their derivatives it is shown that the free-field p

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Particle Physics, are described with their masses, spins and charges with respect to strong, weak and electromagnetic interactions. The change in the interpretation of the SU(N) symmetries in the history of particle physics is described up to the culmination of the SU(6) flavor and SU(3) color symmetry in the Standa

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Conclusion,how quantum physics builds a bridge from symmetries to group representations. The three types of variational symmetries in fundamental physics are summarized, namely symmetries with respect to diffeomorphism, with respect to Lorentz transformations and with respect to “internal” group transformation

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Introduction,tional symmetries. Further topics are different versions of symmetries, the benefit of symmetries, and an overview of the essential symmetry groups as they show up in various fields ranging from classical physics to particle physics and theories of gravitation.

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Classical Mechanics,nsformations. A further section deals with the interrelationships of conservation laws, Noether-Bessel-Hagen symmetries (of a Lagrangian) and Lie symmetries (of equations-of-motion) – elucidated on simple examples, including the Kepler problem. At last, the properties of the Galilei group and its associated Lie algebra are elucidated.