Thiemann T (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 108
Article Number: 125007
Journal Issue: 12
DOI: 10.1103/PhysRevD.108.125007
The Hamiltonian renormalization program motivated by constructive quantum field theory and Osterwalder-Schrader reconstruction that was recently launched for bosonic field theories is extended to fermions. As fermion quantization is not in terms of measures, the scheme has to be mildly modified accordingly. We exemplify the scheme for free fermions for both compact and noncompact spatial topologies, respectively (i.e., with and without IR cutoff) and demonstrate that the convenient Dirichlet or Shannon coarse-graining kernels recently advertised in a companion paper lead to a manifestly doubler free flow.
APA:
Thiemann, T. (2023). Hamiltonian renormalization. VII. Free fermions and doubler free kernels. Physical Review D, 108(12). https://doi.org/10.1103/PhysRevD.108.125007
MLA:
Thiemann, Thomas. "Hamiltonian renormalization. VII. Free fermions and doubler free kernels." Physical Review D 108.12 (2023).
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