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Hamiltonian Renormalisation VII: Free fermions and doubler free kernels
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The Hamiltonian renormalisation programme motivated by constructive QFT and Osterwalder-Schrader reconstruction which was recently launched for bosonic field theories is extended to fermions. As fermion quantisation is not in terms of measures, the scheme has to be mildly modified accordingly. We exemplify the scheme for free fermions both for compact and non-compact spatial topologies respectively (i.e. with and without IR cut-off) and demonstrate that the convenient Dirichlet or Shannon coarse graining kernels recently advertised in a companion paper lead to a manifestly doubler free flow.
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Cited by 2 Pith papers
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Hamiltonian renormalisation IX. U(1)**3 quantum gravity
For the U(1)^3 toy model, the Hamiltonian renormalisation flow built from Narnhofer-Thirring or Fock inputs has fixed points that coincide with the previously known exact continuum solutions, with explicit convergence...
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Hamiltonian renormalisation VIII. P(Phi,2) quantum field theory
For the P(Phi)2 model on a circle, the Hamiltonian renormalisation flow with Dirichlet kernels has the known continuum theory as its fixed point, and a naively local discretised coupling flows to the correct quasi-loc...
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