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SUMMARY:Scattering in Euclidean formulations of relativistic quantum theor
y
DTSTART;VALUE=DATE-TIME:20180727T194000Z
DTEND;VALUE=DATE-TIME:20180727T200000Z
DTSTAMP;VALUE=DATE-TIME:20210727T121623Z
UID:indico-contribution-34770@indico.fnal.gov
DESCRIPTION:Speakers: Wayne Polyzou (University of Iowa)\nScattering theor
y can be formulated given a representation of the\nquantum mechanical Hilb
ert space and a set of self-adjoint Poincar\\'e\ngenerators satisfying clu
ster properties. These are both provided by\nthe Osterwalder-Schrader rec
onstruction theorem\, where the input is a\ncollection of Euclidean-covari
ant reflection-positive distributions.\nIn this representation both Hilber
t space inner products and matrix\nelements of the generators can be expre
ssed directly in terms of\nEuclidean variables\, without analytic continua
tion. A Euclidean\nversion of Haag-Ruelle scattering can be formulated in
this\nrepresentation\, which leads to expressions for scattering observab
les\nas strong limits. I discuss the construction of one-particle\nHaag-R
uelle states in this representation and show how these states\ncan be used
to construct wave operators. I exhibit toy model\ncalculations of sharp-
momentum transition matrix elements over a wide\nrange of energies that su
ggest the feasibility of formulating\nnumerical methods to compute scatter
ing observables in this\nEuclidean representation.\n\nhttps://indico.fnal.
gov/event/15949/contributions/34770/
LOCATION:Kellogg Hotel and Conference Center Big Ten A
URL:https://indico.fnal.gov/event/15949/contributions/34770/
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