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SUMMARY:External seminar by Joydeep Chakrabortty
DTSTART;VALUE=DATE-TIME:20200619T130000Z
DTEND;VALUE=DATE-TIME:20200619T140000Z
DTSTAMP;VALUE=DATE-TIME:20200708T085525Z
UID:indico-event-913@conference.ippp.dur.ac.uk
DESCRIPTION:Title: Group Invariant Polynomial- paving the path to operato
r construction.\n\nAbstract : Lagrangian is considered to be one of the pr
imary objects to model physical phenomena. The knowledge of quantum field
s that represent the particles and their transformation property under th
e assigned symmetry of the theory/system is needed to construct the uniqu
e Lagrangian. The Lagrangian can be thought of as a polynomial of those
quantum fields and the mass dimension of the operators play a crucial rol
e to determine the order of that polynomial. Though we restrict ourselves
mostly up to order 4 (renormalizable terms)\, we can add higher-order te
rms in the polynomial. Adding higher order\, i.e.\, higher mass dimension
al operators in the Lagrangian is what we note as grabbing the footprints
of unknown UV theory though these effective operators. The present era o
f particle physics encourages us to look beyond renormalizable terms\, an
d thus the Effective Field Theory has drawn our attention in the past few
years. For any given theory\, constructing effective operators is a tedi
ous task -- our estimation should not be less or more. The operator set m
ust be independent and complete such that they can form a basis at each o
rder. To make life easy\, we have come up with an algorithm and develop
ed a Mathematica code "GrIP" which allows one to compute operator basis a
t any given mass dimension. There are many additional advantages of this
code. I will unveil them during my talk. I will start with the mathematic
al framework of our work based on which we have developed the algorithm.
Then I will demonstrate the\nworking principle of "GrIP". I will also floa
t some possible directions to continue the discussion.\n\nZoom link: htt
ps://zoom.us/j/401212804?pwd=dkp4bzYxaEIyNmdqRWdBV2hHaEJLUT09\n\n \n\nhtt
ps://conference.ippp.dur.ac.uk/event/913/
LOCATION:
URL:https://conference.ippp.dur.ac.uk/event/913/
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