A large-volume approximant for the constrained fermionic path integral is derived and tested in the chiral Gross-Neveu model, showing the chiral condensate appears as the edge of a flat disk in the constraint potential.
Density-of-states
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abstract
Although Monte Carlo calculations using Importance Sampling have matured into the most widely employed method for determining first principle results in QCD, they spectacularly fail for theories with a sign problem or for which certain rare configurations play an important role. Non-Markovian Random walks, based upon iterative refinements of the density-of-states, overcome such overlap problems. I will review the Linear Logarithmic Relaxation (LLR) method and, in particular, focus onto ergodicity and exponential error suppression. Applications include the high-state Potts model, SU(2) and SU(3) Yang-Mills theories as well as a quantum field theory with a strong sign problem: QCD at finite densities of heavy quarks.
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Constraining fermionic condensates
A large-volume approximant for the constrained fermionic path integral is derived and tested in the chiral Gross-Neveu model, showing the chiral condensate appears as the edge of a flat disk in the constraint potential.