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Symmetries in Fundamental Physics (Hardcover, 2nd ed. 2014)
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Symmetries in Fundamental Physics (Hardcover, 2nd ed. 2014)
Series: Fundamental Theories of Physics, 176
Expected to ship within 12 - 17 working days
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Over the course of the last century it has become clear that both
elementary particle physics and relativity theories are based on
the notion of symmetries. These symmetries become manifest in that
the "laws of nature" are invariant under spacetime transformations
and/or gauge transformations. The consequences of these symmetries
were analyzed as early as in 1918 by Emmy Noether on the level of
action functionals. Her work did not receive due recognition for
nearly half a century, but can today be understood as a recurring
theme in classical mechanics, electrodynamics and special
relativity, Yang-Mills type quantum field theories, and in general
relativity. As a matter of fact, as shown in this monograph, many
aspects of physics can be derived solely from symmetry
considerations. This substantiates the statement of E.P. Wigner
..". if we knew all the laws of nature, or the ultimate Law of
nature, the invariance properties of these laws would not furnish
us new information." Thanks to Wigner we now also understand the
implications of quantum physics and symmetry considerations:
Poincare invariance dictates both the characteristic properties of
particles (mass, spin, ...) and the wave equations of spin 0, 1/2,
1, ... objects. Further, the work of C.N. Yang and R. Mills reveals
the consequences of internal symmetries as exemplified in the
symmetry group of elementary particle physics. Given this pivotal
role of symmetries it is thus not surprising that current research
in fundamental physics is to a great degree motivated and inspired
by considerations of symmetry. The treatment of symmetries in this
monograph ranges from classical physics to now well-established
theories of fundamental interactions, to the latest research on
unified theories and quantum gravity.
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