BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Analyticity Properties and Behavior of Scattering Amplitude at Asy
 mptotic Energies
DTSTART:20180906T110000
DTEND:20180906T120000
DTSTAMP:20260510T235024Z
UID:f16404269fc0d3b24071e225d8939e87840c8257272643260c354ea7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jnanadeva Maharana\nWe shall recall the exact results on scatt
 ering amplitudes and scattering cross sections which have been derived wit
 hin the frame works of general field theories. Many of these results\, whi
 ch have been derived as bounds in the past\, can be tested against the exp
 erimental data. Thus there is a ground to test the underlying postulates o
 f the general field theories.\n\nNext we intend to derive some of the anal
 yticity properties of the amplitude starting from the LSZ formalism. We sh
 all explore the consequences of Lorentz invariance\, microcausality and ex
 amine the analyticity property of the amplitude. In this process we encoun
 ter the crossing symmetry. These properties are known as linear relations 
 in the formal approach to field theories.\n\nWe shall study the  analytic
 ity of the amplitude for fixed momentum transfer\,t and we shall argue tha
 t there is a region\, -T<t<0 within which the amplitude satisfies dispersi
 on relation in s. We shall explore a domain which is direct product of the
  cut s-plane and a domain in t-plane where amplitude is analytic. The unit
 arity constraint is invoked to derive this result. We shall argue that the
  total cross section cannot grow abritrarily for high energies. It is boun
 ded by the squared of the logarithm of the c.m. energy\n\nThe dates and pl
 ace are as follows:\n\nThursday September 6th 2018\, 11:00 – 12:00\nThur
 sday September 13th 2018\, 11:00 – 12:00\nFriday September 14th 2018\,
  11:00 – 12:00\n\n \nBSP 727 Cubotron / UNIL\n\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR