The Gauge Principle and Local Quantum Field Theory (by Urs Schreiber, No...
Δημοσιεύτηκε στις 27 Ιαν 2015
The
observation that the concept of identity has to be relaxed to one of
equivalence is a central insight of 20th century physics – known as the
gauge principle. This talk gives an exposition of how combining gauge
equivalence with the locality principle in non-perturbative quantum
field theory implies that gauge fields do not from sets, but form
groupoids, in fact that they form smooth groupoids (smooth stacks). One
consequence is that the field bundles of local non-perturbative gauge
fields are really 2-bundles (gerbes) in higher differential geometry. I
close with a brief outlook on implications for the formulation of higher
dimensional Chern-Simons-type field theories.
observation that the concept of identity has to be relaxed to one of
equivalence is a central insight of 20th century physics – known as the
gauge principle. This talk gives an exposition of how combining gauge
equivalence with the locality principle in non-perturbative quantum
field theory implies that gauge fields do not from sets, but form
groupoids, in fact that they form smooth groupoids (smooth stacks). One
consequence is that the field bundles of local non-perturbative gauge
fields are really 2-bundles (gerbes) in higher differential geometry. I
close with a brief outlook on implications for the formulation of higher
dimensional Chern-Simons-type field theories.
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