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SUMMARY:Analyticity Properties and Behavior of Scattering Amplitude at Asy
 mptotic Energies
DTSTART:20180913T110000
DTEND:20180913T120000
DTSTAMP:20260527T194544Z
UID:ddf6eecc9c3e549266a5525fd008e187020634516456cc8501a91460
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jnanadeva Maharana\nWe shall recall the exact results on scatt
 ering amplitudes and scattering cross sectionswhich have been derived with
 in the frame works of general field theories. Many of these results\, whic
 h have been derived as bounds in the past\, can be tested against theexper
 imental data. Thus there is a ground to test the underlying postulates of 
 the general\nfield theories.\n\nNext we intend to derive some of the analy
 ticity properties of the amplitude starting from the LSZ formalism. We sha
 ll explore the consequences of Lorentz invariance\, microcausality and exa
 mine the analyticity property of the amplitude. In this process we encount
 er the crossing symmetry. These properties are known as linear relations i
 n the formal approach to field theories.\n\nWe shall study the analyticity
  of the amplitude for fixed momentum transfer\,t and we shall argue that t
 here is a region\, -T<t<0 within which the amplitude satisfies dispersion 
 relation in s. We shall explore a domain which is direct product of the cu
 t s-plane and a domain in t-plane where amplitude is analytic. The unitari
 ty constraint is invoked to derive this result. We shall argue that the to
 tal cross section cannot grow abritrarily for high energies. It is bounded
  by the squared of the logarithm of the c.m. energy.\n\nThe dates and plac
 e are as follows:\n\nThursday September 6th 2018\, 11:00 – 12:00\nThursd
 ay September 13th 2018\, 11:00 – 12:00\nFriday September 14th 2018\, 1
 1:00 – 12:00\n\nBSP 727 Cubotron / UNIL\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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