Calculating the chiral condensate diagrammatically at strong coupling
Abstract
We calculate the chiral condensate of QCD at infinite coupling as a function of the number of fundamental fermion flavours using a lattice diagrammatic approach inspired by recent work of Tomboulis, and other work from the 80's. We outline the approach where the diagrams are formed by combining a truncated number of sub-diagram types in all possible ways. Our results show evidence of convergence and agreement with simulation results at small Nf. However, contrary to recent simulation results, we do not observe a transition at a critical value of Nf. We further present preliminary results for the chiral condensate of QCD with symmetric or adjoint representation fermions at infinite coupling as a function of Nf for Nc = 3. In general, there are sources of error in this approach associated with miscounting of overlapping diagrams, and over-counting of diagrams due to symmetries. These are further elaborated upon in a longer paper.
Cite
@article{arxiv.1502.04865,
title = {Calculating the chiral condensate diagrammatically at strong coupling},
author = {Alexander S. Christensen and Joyce C. Myers and Peter D. Pedersen and Jan Rosseel},
journal= {arXiv preprint arXiv:1502.04865},
year = {2015}
}
Comments
presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, New York, NY, USA