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Fermions in the pseudoparticle approach

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arxiv 0704.3023 v1 pith:V2NNFZ76 submitted 2007-04-23 hep-lat hep-phphysics.comp-ph

classification hep-lathep-phphysics.comp-ph
keywords approachpseudoparticlecomputeappliedbasicblocksbuildingconfigurations
verification ladder T0 review T1 audit T2 compute T3 formal

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The pseudoparticle approach is a numerical technique to compute path integrals without discretizing spacetime. The basic idea is to integrate over those field configurations, which can be represented by a sum of a fixed number of localized building blocks (pseudoparticles). In a couple of previous papers we have successfully applied the pseudoparticle approach to pure SU(2) Yang-Mills theory. In this work we discuss how to incorporate fermionic fields in the pseudoparticle approach. To test our method, we compute the phase diagram of the 1+1-dimensional Gross-Neveu model in the large-N limit.

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  1. Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors

    hep-lat 2019-08 conditional novelty 5.0 of 10

    Numerical stability analysis of the 2+1d Gross-Neveu model in the large-Nf limit finds a triangular region in the temperature-chemical potential plane where the condensate is spatially modulated.

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