1. Magnetic Polarizability of Hadrons from Dynamical Configurations
Scott Moerschbacher
The George Washington University
Lattice 2008, July 14

2. Outline of Talk Magnetic Polarizability Physics Lattice Calculation
Results of Simulations
Future Possibilities

3. Classical Polarizability
The polarizability is the proportionality constant between the induced dipole moment and the field.

4. Simulation Parameters
Lattice Approach
CP-PACS Dynamical Configurations:
Simulation Parameters

5. Lattice Approach
Nucleon interpolating fields
Correlation Functions

6. Background Field Method
Introduce the magnetic field as a phase onto the lattice links
Covariant Derivative:

7. Linear vs. exponential
Do we linear-ize??

8. Extraction of Polarizability
Expand the mass shift as a polynomial in the field:

9. Lat 16—EMass Shifts—Linear

10. Lat 16—EMass Shifts—Linear

11. Lat 16—EMass Shifts—Exp

12. Lat 16—EMass Shifts—Exp

13. Lat 12—Polarizabilty—Exp

14. Lat 12—Polarizabilty—Linear

15. Lat 16—Polarizabilty—Linear

16. Lat 16—Polarizabilty—Exp

17. Conclusions… What have we learned?? a=0.2 is too coarse
Perhaps the field should be introduced as an exponential phase…

18. What next?? Better statistics
Introduce the field at the point of configuration generation
And of coarse.. Smaller spacings and quark masses..

19. Extra Slides…
Extra Slides…

20. Lat 16—Polarizabilty—Exp

21. Proton Polarizability--Linear

22. Mass Shifts--Exponential