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

Christensen, Alexander S.; Myers, Joyce C.; Pedersen, Peter D.; Rosseel, Jan

doi:10.48550/arxiv.1410.0541

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“…The solution plotted is that which goes to the result of [2,12] in the N f → 0 limit. A more detailed analysis of results is presented in [7]. A remarkable feature of these results is that as N f is increased, the chiral condensate decreases very slowly and approaches zero as N f → ∞.…”

Section: Resultsmentioning

confidence: 97%

“…For example, a 0 = 2d−1 2d , b 0 = 4(d−1) 2 4d(d−1) . More x n are defined in appendix A of [7]. In general the I(l) can thus be put in the form…”

Section: Reduciblementioning

confidence: 99%

“…It would be good to understand this better. The idea of this note, and of our recent longer paper in [7], is to develop a procedure, inspired by [6], which can be used to calculate the chiral condensate by collecting the contributions from all possible diagrams which can be formed out of a truncated number of sub-diagram types.…”

Section: Introductionmentioning

confidence: 99%

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Calculating the chiral condensate diagrammatically at strong coupling

Christensen¹,

Myers²,

Pedersen³

et al. 2015

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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 N f . However, contrary to recent simulation results, we do not observe a transition at a critical value of N f . We further present preliminary results for the chiral condensate of QCD with symmetric or adjoint representation fermions as a function of N f for N c = 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.

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Section: Resultsmentioning

confidence: 97%

“…For example, a 0 = 2d−1 2d , b 0 = 4(d−1) 2 4d(d−1) . More x n are defined in appendix A of [7]. In general the I(l) can thus be put in the form…”

Section: Reduciblementioning

confidence: 99%