id author title date pages extension mime words sentences flesch summary cache txt work_hy5rfatkrvaclg3yvoifemzgoq Richard Healey On the Reality of Gauge Potentials 2001 44 .pdf application/pdf 10567 562 55 one 4-vector field faithfully represents the gauge properties within the region in question: this is vector field on a space-time manifold, but by a connection on a principal fiber bundle which has pull-back corresponding to each local section on this bundle uniquely defines a one-form (or covector) field on a corresponding open set of the (space-time) base manifold M. one-form field on the space-time manifold that represents the electromagnetic vector potential, given bundle section, these may also be represented by Lie-algebra-valued one-form and twoform fields (respectively) on (an open subset of) the base space-time manifold. different one-form fields Aµ related by a local gauge transformation do not represent distinct but fiber bundle directly reflects the structure of the local gauge potential it represents.5 I shall call properties of distinct space-time points, and no such relation for the connection to represent. potential may be represented by a connection on a principal fiber bundle over the space-time ./cache/work_hy5rfatkrvaclg3yvoifemzgoq.pdf ./txt/work_hy5rfatkrvaclg3yvoifemzgoq.txt