Results from the 4PI effective action in 2- and 3-dimensions
- 70 Downloads
We consider a symmetric scalar theory with quartic coupling and solve the equations of motion from the 4PI effective action in 2- and 3-dimensions using an iterative numerical lattice method. For coupling less than 10 (in dimensionless units) good convergence is obtained in less than 10 iterations. We use lattice size up to 16 in 2-dimensions and 10 in 3-dimensions and demonstrate the convergence of the results with increasing lattice size. The self-consistent solutions for the 2-point and 4-point functions agree well with the perturbative ones when the coupling is small and deviate when the coupling is large.
KeywordsEffective Action External Momentum Momentum Component Hard Thermal Loop Renormalization Condition
This work was supported by the Natural and Sciences and Engineering Research Council of Canada. WJF is supported in part by the National Natural Science Foundation of China under contract No. 11005138.
- 26.M.C. Abraao York, G.D. Moore, M. Tassler. arXiv:1202.4756