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Gauging What's Real - The Conceptual Foundations of Contemporary Gauge Theories (Hardcover)
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Gauging What's Real - The Conceptual Foundations of Contemporary Gauge Theories (Hardcover)
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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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