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QCD Sum Rules is one of the most successful quantum field theory frameworks to extract hadronic information from QCD analytically. This technique is based on the Operator Product Expansion (OPE) and Cauchy's Theorem in the complex energy plane. OPE factorizes the short and long distance interactio...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2019
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| Summary: | QCD Sum Rules is one of the most successful quantum field theory frameworks to extract hadronic information
from QCD analytically. This technique is based on the Operator Product Expansion (OPE) and
Cauchy's Theorem in the complex energy plane. OPE factorizes the short and long distance interactions
where the former are calculated using perturbative theory, and the latter are parameterized in terms of the
quark and gluon vacuum condensates. By using Cauchy's theorem, the results from QCD calculations can be
matched to the hadronic channel, this is known as 'quark-hadron duality'. My Project involves using QCD
Sum Rules to determine the behaviour of hadronic parameters of charmonium in the scalar and pseudoscalar
channel and also light-light quark mesons in the vector and axial-vector channel at finite temperature. From
our results of the behaviour of the width and the hadronic coupling at finite temperature, both channels
of charmonium shows signs of survival beyond the deconfinement temperature Tc whereas the light-light
quark mesons disappears at Tc. An extension of the method to finite density in. the axial-vector channel of
light-light quark mesons also shows signs of disappearance at the deconfinement density μc. |
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