Particle Theory Journal Club
From ParticleTheoryJC
The Particle Theory Journal Club is a series of weekly talks given by graduate students and aimed at graduate students. This quarter we will be discussing effective field theories.
Students who will be giving talks should register for 2 credits of Ph 582; students who will only be attending should register for 1 credit.
- Practice talk: Wed 4:30 in B405 (particle theory conference room)
- Official talk: Fri 2:30 in C421 (seminar room)
Contents |
Wiki
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Winter '10: Critical Phenomena
- 1/08 - Introduction to Critical Phenomena
- Raul Briceno
- Abstract - I will be introducing the relationship between criticality and QFTs, followed by a review of phase transitions and a working definition of criticality. We will be using the mean field theory approach to study continuous phase transitions of magnets near the Curie point. With this example we will be able to illustrate the key features of critical phenomena: critical exponents, order parameter, symmetry breaking universality, etc.
- Refs -
- Introduction to the Renormalization Group and to Critical Phenomena by P. Pfeuty and G. Toulouse (Ch. 1 & 2)
- 1/15 - Basics of Renormalization Group
- Andrew Lee
- Abstract - RG is a very successful theory for the study of critical phenomena. I will motivate and define the RG. Then I will go through the exact RG transformation for the 1-D ising model with no external field, and find its RG fixed point (critical point). Two approaches to RG will be featured: Wilsonian method (integration of wavenumber shells) and Kadanoff's original block spin method.
- Refs -
- Introduction to the Renormalization Group by Sheng-Keng Ma (Rev Mod Phys 45,589)
- Introduction to the Renormalization Group and to Critical Phenomena by P. Pfeuty and G. Toulouse (Ch. 4)
- Statistical Mechanics by R.K. Pathria
- 1/22 - Scaling and relations between critical exponents
- Jakub Scholtz
- Abstract -
- Refs -
- 1/29 - Perturbative RG and epsilon expansion
- Brian Mattern
- Abstract - I will work through an explicit example of momentum space renormalization for the Gaussian model with a quartic coupling. After deriving some simplified recursive RG equations and studying their behavior, I will show how these can be used to determine the critical exponent that governs the singularity in the correlation length at the critical temperature.
- Refs -
- Wilson and Kogut, The renormalization group and the epsilon expansion. Phys. Rep. 12, p75. http://dx.doi.org/10.1016/0370-1573(74)90023-4
- 2/05 - Kosterlitz-Thouless transition in the XY model
- Isaac Crosson
- Abstract - I will introduce the XY model, the expand the partition function at high and low temperature, discuss the topological defects which drive the transtition, and calculate a momentum-space renormalization to examine the critical behavior.
- Refs -
- "The critical properties of the two-dimensional xy model", Kosterlitz (1974) http://www.iop.org/EJ/abstract/0022-3719/7/6/005/
- "Ordering, metastability and phase transitions in two-dimensional systems"Kosterlitz and Thouless (1973) http://www.iop.org/EJ/abstract/0022-3719/6/7/010
- "An introduction to lattice gauge theory and spin systems", Kogut (1979) http://rmp.aps.org/abstract/RMP/v51/i4/p659_1
- "A Modern Approach to Critical Phenomena", Igor Herbut (2007) http://www.springerlink.com/content/c6q57911442h6qg1/
- 2/12 - O(N) models I
- Kristan Jensen
- Abstract -
- Refs -
- 2/19 - O(N) models II
- Ethan Thompson
- Abstract -
- Refs -
- 2/26 - Truncated Wilsonian RG
- Chris Vermilion
- Abstract -
- Refs -
- 3/5 - Borel summation in calculation of critical exponents
- Alan Jamison
- Abstract -
- Refs -
- 3/12 - Horava's Quantum Gravity
- Stefan Janiszewski
- Abstract -
- Refs -
Previous Topics
- Effective Field Theories - Autumn '09
- Low-Energy Tests of the Standard Model - Spring '09
- Confinement - Winter '09
- Conformal Field Theory - Autumn '08
- Cosmology II - Spring '08
- Large N field theories II - Winter '08
- AdS/CFT - Autumn '07
- LHC Phenomenology - Spring '07
- Anomalies - Winter '07
- Solitons and Instantons - Autumn '06
- Color superconductivity - Spring '06
- Matrix models - Winter '06
- Thermal field theory - Autumn '05
- Supersymmetry - Spring '05
- Lattice field theory - Winter '05
- Extra dimensions - Autumn '04
- AdS and holography - Spring '04
- Large N field theories I - Winter '04
- Cosmology I - Autumn '03
- Solitons - Spring '03
- Phases of gauge theories - Winter '03
The archives from the old JC webpage have been migrated over; some could still use prettying up.
Potential Future Topics
Feel free to add to this list! This is a compilation of any serious suggestion for a future topic. Anything in the list of previous topics older than a year or two is also fair game.
- Dark matter
- Recent experiment salmagundi
- B physics (related: flavor physics)
- Dualities in field theory
- Quantum field theories in curved spacetime
- AdS/CFT and condensed matter physics
- Monte Carlos
- High-energy QCD phenomenology
