Introduction to Finite Temperature Field Theory
| Spring Semester 2010 (1388-89-II) |
| Lecturer: | Neda Sadooghi |
| Office: | Room 333, Physics Department |
| Time: | Saturdays and Mondays, 10:30 -12:30 |
| Place: | CEP Seminar Room 517, Physics Department |
| Office hours: | Sundays 11:00-13:00 |
| Schedules: |
| Semester starts on: | Bahman 12, 1388 | |
| Semester ends on: | Khordad 11, 1389 | |
| Homework: | Every two weeks | |
| Midterm exam: | Khordad 1389 | |
| Final Exam: | Tir 1389 |
| References: | ||
| J. Kapusta and C. Gale | Finite Temperature Field Theory | Cambridge University Press, 2nd Edition (2006) |
| M. Le Bellac | Thermal Field Theory | Cambridge University Press (2000) |
| K. Yagi, T. Hatsuda and Y. Miake | Quark-Gluon Plasma | Cambridge University Press (2005) |
| E. Shuryak | The QCD Vacuum, Hadrons ... | World Scientific, 2nd Edition (2004) |
| D.J. Toms | The Schwinger Action Principle ... | Cambridge University Press (2007) |
| L.H. Ryder | Quantum Field Theory | Cambridge university Press (1996) |
| Course Syllabus | ||
| Course Syllabus | ||
| Contents: | This part will be constructed gradually | |
| Part I: Introduction to QFT at T=0 | ||
| Path integral representation in QM, Generating functional for n-pt Green functions | ||
| Classical Field Theory (Klein-Gordon and Dirac fields, Conserved Currents) | ||
| Generating functional for scalar fields; Free field theory | ||
| Generating functional for interacting scalar and free fermions | ||
| Part II: Functional integral representation of partition function at finite T | ||
| Free bosonic fields | ||
| Free fermionic fields | ||
| Interacting bosonic fields | ||
| Full propagator in λφ4-theory | ||
| Self energy and summation over Matsubara frequencies | ||
| Ring diagrams in λφ4-theory | ||
| Part III: Renormalization | ||
| Power counting and renormalizability at T=0 | ||
| Renormalization group equation and its solution at T=0 | ||
| Part IV: Quantum Electrodynamics at finite T | ||
| Quantization of photon and Faddaeev-Popov formalism | ||
| Fixing the gauge (axial gauge) and photon partition function at finite T | ||
| General structure of vacuum polarization tensor and ring diagrams in QED at finite T | ||
| Part V: Linear Response Theory | ||
| Goals and Methods: Lehmann representation | ||
| Electric mass, Plasma screening | ||
| Modified Coulomb potential in QED plasma | ||
| Part V: Phase transition at finite temperature | ||
| Your Score: | Schedule | % of your final score | ||||
| Homeworks | Every two weeks | %20 | ||||
| Midterm Exam | Take Home | %30 | ||||
| Final Exam | %30 | |||||
| Seminar talks | %20 | |||||
| Lectures: | pdf-files | Date | pdf-files | Date | pdf-files | Date |
| Lecture 1 | 12/11/88 | Lecture 10 | 24/12/88 | Lecture 19 | 13/02/89 | |
| Lecture 1 | 17/11/88 | Lecture 11 | 14/01/89 | Lecture 20 | ||
| Lecture 2 | 19/11/88 | Lecture 12 | 16/01/89 | Lecture 21 | ||
| Lecture 3 | 01/12/88 | Lecture 13 | 21/01/89 | Lecture 22 | 01/03/89 | |
| Lecture 4 | 03/12/88 | Lecture 14 | 23/01/89 | Lecture 23 | 03/03/89 | |
| Lecture 5 | 08/12/88 | Set 2 | Discussion | Lecture 24 | 08/03/89 | |
| Lecture 6 | 10/12/88 | Lecture 15 | 30/01/89 | |||
| Lecture 7 | 15/12/88 | Lecture 16 | 04/02/89 | |||
| Lecture 8 | 17/12/88 | Lecture 17 | 06/02/89 | |||
| Lecture 9 | 22/12/88 | Lecture 18 | 11/02/89 | |||
| Lecture Notes: | pdf-files | |||||
| Lecture Notes (This part will be constructed at the end of this semester) | ||||||
| Homeworks: | Problem Set | Due to: | ||||
| Set 1 | Esfand 22, 1388 | |||||
| Set 2 | Farvardin 16, 1389 | |||||
| Set 3 | Ordibehesht 18, 1389 | |||||
| Midterm Exam | (Related paper) | Khordad16, 1389 | ||||
| Final Exam |
Tir 6, 1389 Tir 14. 1389 |
|||||
| The Scores: | |||
| Final Scores |
| Term Papers and Seminars: | ||
| Topics: | ||
| 1 | Photon and electron dispersion relation | 13/4/89 (cancelled) |
| 2 | Relativistic viscous hydrodynamics and Kubo formulae | 14/4/89 |
| 3 | Electroweak phase transition at finite T | 15/4/89 |
| References: |
| J. Kapusta and C. Gale | Finite Temperature Field Theory | Cambridge University Press, 2nd Edition (2006) |
| Seminar Schedule: 8:30 -10:00 from Sun. 13/4/89 to Tue. 15/4/89 |
|
|
Speaker |
| Sunday | 13/4/89 (is cancelled) | Talebian - Mashhadi |
| Monday | 14/4/89 (8:30 - 12:00) | Taghi Navaz - Dehghani |
| Monday | 21/4/89 (13:30-15:30) | Sadeghian - Khajeh Tabrizi |