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UID:20251104T221334EST-3792njTTiF@132.216.98.100
DTSTAMP:20251105T031334Z
DESCRIPTION:A unified geometric framework for Yang-Mills charges and dressi
 ngs in finite regions\n\nBoundaries and finite regions in gauge theories a
 re a delicate issue. I approach it through a geometric formalism based on 
 the space of field configurations (field-space). The main geometric tool i
 s a connection 1-form on field-space\, ϖ. In the first part of the talk\, 
 I introduce ϖ and explore its properties\, especially vis-à-vis gauge fixi
 ngs and boundary conditions. Then I use it to upgrade the Yang-Mills (pre)
 symplectic structure in presence of boundaries to make it invariant even u
 nder field-dependent gauge transformations. A comparison to “edge modes” i
 s quickly presented. In the second part of the talk\, I introduce an expli
 cit and natural example of ϖ constructed solely out of the gauge-potential
  (Singer-DeWitt). In particular\, I show that: (i) the corresponding ϖ-upg
 raded symplectic form naturally selects global gauge charges at reducible 
 configurations (e.g. the total electric charge)\, while projecting out all
  other “pure-gauge” charges\; and that (ii) the field-space holonomies of 
 the Singer-DeWitt ϖ are natural dressing factors (e.g. Dirac’s dressing in
  electrodynamics) which implicitly underlaid the construction of the Vilko
 visky-DeWitt geometric action. Time allowing\, I will also consider a ϖ co
 nstructed only out of matter fields (Higgs) and discuss the corresponding 
 dressings and relations to spontaneously broken gauge symmetries. This tal
 k is based on work done in collaboration with H. Gomes (and F. Hopfmueller
 ). Refs: 1808.02074 features a complete account\, while 1804.01919 briefly
  presents the basic ideas exemplified in the simple Abelian context. The f
 irst paper of the series\, 1608.08226 \, sketches some ideas about gravity
  and other applications\, but is less complete under other respects.\n
DTSTART:20181120T203000Z
DTEND:20181120T213000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Aldo Riello\, Perimeter Institute
URL:/mathstat/channels/event/aldo-riello-perimeter-ins
 titute-291797
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