Bonn 2010 – scientific programme
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T: Fachverband Teilchenphysik
T 25: Gittereichtheorie I
T 25.5: Talk
Monday, March 15, 2010, 17:45–18:00, HG XIII
Dispersion relations in abelian and non-abelian plasmas — •Fritz Kretzschmar — Institut fuer Theoretische Physik, Frankfurt am Main, Hessen
Dispersion Relations as used in plasma physics contain the basis for certain properties commonly used in high energy physics. We will calculate the Dispersion Relations of abelian U(1) plasmas and non-abelian SU(2) plasmas in the weak coupling limit respectively. The calculation is done via the CPIC (Colored-Particle-In-Cell) code, that is a real-time lattice code. Herein the whole system containing N classical particles and gauge fields that are described at every position via plaquettes is described by the Kogut-Susskind-Hamiltonian:
| HL= |
|
| Ei,La 2+ |
| ∑ | ⎛ ⎝ | Nc−ℜ Tr U | ⎞ ⎠ | + |
|
| |pj,L|. (1) |
Where E describes the chromo electric field on the lattice and p is the canonical momentum. Additionally Ntest denotes the number of test particles, used to gain macroscopic behavior.
We will simulate the hard modes by using the Wong equations
The gauge fields evolve via the Yang-Mills equations:
| Dµa(x) Fabµ ν(x)=jbν(x). (2) |
Finally we will compare these results with the HTL (Hard Tthermal Loop) calculations.
As a final result the calculations will yield values for the Debye Mass and show a difference between the HTL calculation and the numerical simulation.