Following on the Monday tweet, we invite everyone to explore the concluding lecture on renormalization techniques in #QFT at https://enabla.com/pub/1110/about 🎥

Don't be shy: ask
Prof. Partha Mukhopadhyay online or join existing in-time threads like https://enabla.com/en/pub/1066/thread/186 for more insights🔥

Abstract: Following up on the discussion in the previous two chapters, various interesting aspects of QFT in general emerge which we explain and explicitly demonstrate using the current example. These are renormalised couplings and renormalised 1PI vertices, running of them with the scale and renormalisation prescription. The latter basically allows one to relate the mathematical objects we calculate and the observable quantities we measure. Finally, we consider various scenarios of asymptotic behaviour of the coupling as a function of the scale and touch upon the ideas of quantum triviality, UV and IR fixed points and asymptotic freedom. We end our discussion by deriving the “Renormalisation Group Equation” for 1PI vertices and an expression for their anomalous mass dimension.

All Enabla lectures are #free & #OpenAccess. Please support us by sharing this post, following our account & asking questions on Enabla. Thank you!🙏

#QuantumFieldTheory #renormalization #Quantum #Physics #PhD #Lecture

💡Regularization and renormalization techniques are crucial for understanding fundamental interactions in theoretical #physics.

Learn about handling UV divergences and discuss theories' renormalisability with
Partha Mukhopadhyay from The Institute of Mathematical Sciences, Chennai, at https://enabla.com/pub/1104/about 🎥

Abstract: we introduce the general theme of counter-term renormalisation programme which is an approach to make sense of the UV divergences observed in the previous chapter https://enabla.com/set/173/pub/682/about. In this approach one regularises the divergences, a process that introduces a scale in the problem, and then adds counter terms to the original Lagrangian to absorb the divergences in the physical limit. Based on the patterns of divergences depending on the mass dimension of the coupling, three categories of theories emerge: super-renormalisable, renormalisable and non-renormalisable theories. In our explicit demonstration, we consider dimensional regularisation and calculate certain example integrals whose results will be crucial in the analysis of the next chapter.

All Enabla lectures are #free & #OpenAccess. Please support us by sharing this post, following our account & asking questions on Enabla. Thank you!🙏

#QuantumFieldTheory #QFT #renormalization #regularization #QuantumPhysics #PhD #Lecture