Renormalization in Context of Many-Body Theory and Quantum Field theory

Roychowdhury, Samya (2022) Renormalization in Context of Many-Body Theory and Quantum Field theory. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Samya Roychowdhury (17MS050)) 17MS050_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (800kB)

Abstract

In this project, we have first described the basics of renormalization, especially the Wilson Renormalization Group method, in the aspect of Quantum Field Theory. Then we have discussed both single-reference and multi-reference perturbation theory intending to connect the Wilson RG method with multi-reference perturbation theory (Brillouin-Wigner Perturbation Theory, to be specific) along with the need for an alternate Renormalization Group approach. We have explained the formalism of Unitary Renormalization Group as the alternate approach and why it does not have the drawback of the Wilson RG method. We have tried to apply the URG technique in pseudo-Yukawa interaction to find out the dependence of binding energy of nucleons as a function of the number of nucleons. We have ended the project by writing down the effective Hamiltonian one need to consider for finding out the emergence of mesons and baryons as bound state, starting from the Quantum Chromodynamics Lagrangian.

Actions (login required)

View Item