::: about
   ::: news
   ::: links
   ::: giving
   ::: contact

   ::: calendar
   ::: lunchtime
   ::: annual lecture series
   ::: conferences

   ::: visiting fellows 
::: postdoc fellows
   ::: resident fellows
   ::: associates

   ::: visiting fellowships
   ::: postdoc fellowships
   ::: resident fellowships
   ::: associateships

being here
   ::: visiting
   ::: the last donut
   ::: photo album

::: center home >> events >> conferences 2008-09 >> gauge >> abstracts

Gauge Fields: What Isn't There?
Richard Healey
Department of Philosophy
University of Arizona

Abstract: A classical Yang-Mills gauge field with symmetry group G (=U(1), SU(2), etc.) may be represented by means of the connection and curvature of a principal fiber bundle P(M,G) whose base space M represents a space-time manifold and whose structure group is G. The empirical success of a theory incorporating such a gauge field interacting with quantum mechanical particles would warrant belief in holistic features of space-time loops. It would not warrant belief in localized features of space-time points, including gauge field strengths or their components at those points. A "sophisticated substantivalist" can defend belief in space-time points and loops against the "hole argument". But an analogous defense of localized gauge features of such points fails.

Revised 3/31/09 - Copyright 2009