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SUMMARY:Quantization of charge in loop electrodynamics and beyond
DTSTART:20260528T120000Z
DTEND:20260528T133000Z
DTSTAMP:20260501T222800Z
UID:indico-event-1543@indico.ifj.edu.pl
DESCRIPTION:Speakers: Jakub Mielczarek (Jagiellonian University)\n\nIn 199
 8\, Alejandro Corichi and Kirill V. Krasnov showed that the loop quantizat
 ion of sourced U(1) gauge fields leads naturally to the quantization of el
 ectric charge. This result arises from the use of holonomy-flux variables\
 , where holonomies (Wilson lines) take values in U(1) and fluxes in R\, yi
 elding a phase space locally of the form U(1)xR.\nWhile loop quantization 
 has since been predominantly developed in the SU(2) setting of loop quantu
 m gravity\, the U(1) case provides a simpler and instructive arena in whic
 h key structural features\, such as charge quantization\, can be understoo
 d.\nIn this talk\, I revisit the loop quantization of electrodynamics and 
 propose an extension based on exponentiated flux variables. This modificat
 ion leads to a theory with a locally (compact) toroidal phase space\, U(1)
 xU(1). I analyze the resulting form of the Gauss constraint and show how i
 t gives rise to a discrete spectrum of electric charge. These results sugg
 est a broader mechanism for charge quantization rooted in the structure of
  phase space. \n\nhttps://indico.ifj.edu.pl/event/1543/
URL:https://indico.ifj.edu.pl/event/1543/
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