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We develop a lattice diagrammatic technique for calculating the chiralcondensate of QCD at infinite coupling inspired by recent work of Tomboulis andearlier work from the 80's. The technique involves calculating the contributionof gauge link diagrams formed from all possible combinations of a number ofsub-diagram types. This is achieved by performing a resummation, using atruncated number of sub-diagram types. We show how to calculate the relevantsub-diagrams, including a new technique for evaluating group integrals witharbitrary number of gauge link elements, using Young Projectors. Including upto four different diagram types we calculate the chiral condensate as afunction of Nf, and show that two real solutions result, which are non-zero forall integer Nf. We analyse these solutions and find signs of convergence of theexpansion at small Nf. We discuss sources of error associated with thisapproach in detail and implement a technique to reduce over-counting ofdiagrams.

Calculating the chiral condensate of QCD at infinite coupling using a generalised lattice diagrammatic approach