Fermion bag approach to Hamiltonian lattice field theories in continuous time

Abstract

We extend the idea of fermion bags to Hamiltonian lattice field theories in the continuous time formulation. Using a class of models we argue that the temperature is a parameter that splits the fermion dynamics into small spatial regions that can be used to identify fermion bags. Using this idea we construct a continuous time quantum Monte Carlo algorithm and compute critical exponents in the 3d Ising Gross-Neveu universality class using a single flavor of massless Hamiltonian staggered fermions. We find $\eta$=0.54(6) and $\nu$=0.88(2) using lattices up to N=2304 sites. We argue that even sizes up to N=10,000 sites should be accessible with supercomputers available today.

9 pages, 9 figures

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Cited by in corpus (7)

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• Strong Coupling Lattice QCD in the Continuous Time Limit
• Few-body physics on a space-time lattice in the worldline approach
• Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions
• Continued functions and critical exponents: Tools for analytical continuation of divergent expressions in phase transition studies
• Fermion Bag Approach for Hamiltonian Lattice Field Theories