Date
12 August 2024 - 23 August 2024
Venue
Auditorium, Raman Research Institute
These are Pedagogical Lectures focusing on specific scientific topics aimed at advanced undergraduate and beginning graduate students.
The current set of lectures, fourth in the series titled "Phase Transitions and Renormalization Group" will be delivered by Prof. Arun Paramekanti, Univ. of Toronto, Canada.
The schedule of the lectures and the topics to be covered in them are provided below. These lectures are aimed at advanced undergraduate and beginning graduate students.
Lecture notes: Lec1.pdf, Lec2.pdf, Lec3.pdf, Lec4.pdf, Lec5.pdf, Lec7 - RG1.pdf, Lec8 - RG2.pdf
Video recording of the lectures
Schedule:
August 12, 1400-1600
Lecture 1: Phases, Order Parameters, Phase Transitions
Lecture 2: Landau Mean Field Theory and Dimensional Analysis
August 13, 1400-1600
Lecture 3: Breakdown of Landau Theory – Ginzburg Criterion
Lecture 4: Warm Up – 1D Ising Model, Decimation and Flows
August 16, 1000-1200
Lecture 5: Scaling Ideas and Momentum space renormalization
Lecture 6: RG Calculations – I
August 19, 1400-1600
Lecture 7: RG Calculations - II
Lecture 8: Fixed Points and Flows; Critical Exponents
August 20, 1400-1600
Lecture 9: XY Model, Duality and Vortices
Lecture 10: BKT Topological Transition
August 23, 1000-1200
Lecture 11: Quantum Phase Transitions: Transverse Field Ising Model
Lecture 12: Path Integrals for Quantum Phase Transitions