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Gauging What's Real - The Conceptual Foundations of Contemporary Gauge Theories (Paperback)
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Gauging What's Real - The Conceptual Foundations of Contemporary Gauge Theories (Paperback)
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Gauge theories have provided our most successful representations of
the fundamental forces of nature. How, though, do such
representations work? Interpretations of gauge theory aim to answer
this question. Through understanding how a gauge theory's
representations work, we are able to say what kind of world our
gauge theories reveal to us.
A gauge theory's representations are mathematical structures. These
may be transformed among themselves while certain features remain
the same. Do the representations related by such a gauge
transformation merely offer alternative ways of representing the
very same situation? If so, then gauge symmetry is a purely formal
property since it reflects no corresponding symmetry in nature.
Gauging What's Real describes the representations provided by gauge
theories in both classical and quantum physics. Richard Healey
defends the thesis that gauge transformations are purely formal
symmetries of almost all the classes of representations provided by
each of our theories of fundamental forces. He argues that evidence
for classical gauge theories of forces (other than gravity) gives
us reason to believe that loops rather than points are the
locations of fundamental properties. In addition to exploring the
prospects of extending this conclusion to the quantum gauge
theories of the Standard Model of elementary particle physics,
Healey assesses the difficulties faced by attempts to base such
ontological conclusions on the success of these theories.
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