https://doi.org/10.1140/epjc/s10052-013-2399-5
Regular Article - Theoretical Physics
Results from the 4PI effective action in 2- and 3-dimensions
1
Department of Physics, Brandon University, Brandon, Manitoba, R7A 6A9, Canada
2
Winnipeg Institute for Theoretical Physics, Winnipeg, Manitoba, Canada
* e-mail: carrington@brandonu.ca
Received:
4
January
2013
Revised:
22
March
2013
Published online:
20
April
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
