Lattice Field Theory and Numerical Simulations

I.O. Stamatescu ,  W. Wetzel

   Tuesday ,    11:15 - 13:00   Seminarraum Philosophenweg 19

Program:

1. Basic Notions from Statistical Physics
   • Partition Function, Correlations, Phase Diagram
   • Example: Ising Model


2. Method of Numerical Simulation
   • Probabilities, Distributions
   • Stochastic Processes
   • Monte Carlo Method
   • Example: Ising Model
   
     Recommended reading, Hints for programs


3. Euclidean Quantum Field Theory on the Lattice
   • Connection with Statistical Mechanics
   • Transfer Matrix
   • Example: Scalar Field Theory
   
     Recommended reading


4. Formulating QCD on a lattice
   • Gauge Fields
   • Fermions
   
     Recommended reading


5. Lattice-QCD at zero Temperature and zero chemical potential
   • Confinement, Asymptotic Freedom, Strong- and Weak Coupling Expansion
   • Results from numerical simulations:
     String tension, Spectrum, QCD Vakuum, Chiral Symmetry, Renormalization


6. Kadanoff-Wilson-Fischer Renormalization Analysis
   • Blockspin Transformation, Critical Surface, Fixpoints, Universality, Renormalized Trajectories
   • Perfect Actions
   
     Recommended reading


7. Outlook
   • Present Status of QCD Simulations
   • Further Developments
   • Unsolved Problems

Literature     Program- and Data Archives    

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