Topology in statistical physics - 1 by Subhro Bhattacharjee

Описание: PROGRAM

BANGALORE SCHOOL ON STATISTICAL PHYSICS - XI (ONLINE)

ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit

DATE: 29 June 2020 to 10 July 2020

VENUE: Online

Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through online lectures.

This advanced level school is the eleventh in the series.

This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.

Nonequilibrium response theory by Urna Basu (RRI, Bengaluru, India)
Topology in statistical physics by Subhro Bhattacharjee (ICTS, Bengaluru, India)
Statistical mechanics of developed turbulence by Nigel Goldenfeld (University of Illinois, Urbana-Champaign, US)
Statistical physics of rare events and large deviations by Yariv Kafri (Technion -
Israel Institute of Technology, Haifa, Israel)

CONTACT US: [email protected]
PROGRAM LINK: https://www.icts.res.in/program/bssp2020

Table of Contents (powered by https://videoken.com)
0:00:00 Topology in statistical physics - 1
0:04:17 BSSP 2020 : Introduction to Topology in statistical physics
0:04:36 Contents
0:05:03 Lecture -1: Topology in statistical physics: What and why?
0:07:20 Our course work in mathematical physics should tell us that a mathematical structures have two characteristic features
0:10:16 Assume that you are familiar
0:12:16 With this, I intent develop the course as follows
0:17:00 The aim would be to try and tell you the story in a way you can start thinking for yourself.
0:20:15 Example of topological quantum number and associated ideas
0:25:21 In this sense Maxwell's equation describe a classical EFFECTIVE field theory
0:27:19 Ultra-violet regulation : Define a small length, a and do all the calcula- tions.
0:31:04 Sometimes it is easy to see what is a natural regular - Symmetries
0:42:07 Now we modify the Maxwell's equation to incorporate the magnetic monopole This may come from more high energy theories which we would not discuss,
0:47:34 Magnetic Monopole
0:49:22 In the magnetostatic limit with the monopole at the origin, i.e. on = mo(r),
0:58:52 Line singularity (Dirac String) : This singularity is not in a physical observable.
1:01:23 General Forecast : Two types of Quantum Numbers.
1:13:58 Term String
1:16:55 Path Integral formulation of Quantum Mechanics
1:29:32 Integrate out P
1:46:42 Q&A