Hamiltonian renormalization. VII. Free fermions and doubler free kernels

Thiemann T (2023)


Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 108

Article Number: 125007

Journal Issue: 12

DOI: 10.1103/PhysRevD.108.125007

Abstract

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.

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How to cite

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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