Quantum Field Theory II: Lecture 1 - Classical scalar fields and their symmetries. скачать в хорошем качестве

Quantum Field Theory II: Lecture 1 - Classical scalar fields and their symmetries.

An advanced course on Quantum Field Theory, PH4413/6473, offered at IISER Pune from January-April 2024. Notes and other course info available at http://sunilmukhi-qft2-2024.blogspot.com. Course Objectives: To survey Quantum Field Theory from a perspective that goes beyond basic operator quantisation and computation of amplitudes in perturbation theory. To bring out the deep underlying structure of QFT that provides qualitative and quantitative insight into material phenomena in both particle physics and condensed matter physics. The course will highlight the role of symmetries, path integral quantisation, semi-classical expansions and renormalisation. Topics: 1. Classical field theory: general features of scalar fields, fermion fields, gauge fields and their couplings, with an emphasis on symmetries and representations. Non-Abelian gauge theory. (9 lectures) 2. Path integral: Discretisation approach, Gaussian path integral as a determinant, large-time limit and ground state, correlation functions, semi-classical expansion as saddle- point approximation. (8 lectures) 3. Classical solutions in QFT: Topological sectors and conservation laws. Quantisation of solitons. Solitons as topologically stable particle sectors in QFT. Vortices in Abelian Higgs model. Instantons and tunneling in quantum mechanics. (9 lectures) 4. Renormalisation: Renormalisation scale, the logic of renormalisation. Renormalisation group equation, physical consequences. (8 lectures)