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Everything about Fermionic field
Fields giving rise to fermionic particles
In quantum field theory, a fermionic field is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics. Fermionic fields obey canonical anticommutation relations rather than the canonical commutation relations of bosonic fields. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Fermionic fieldA 5-minute orientation
- Skim a recent paper: Unbiasing fermionic auxiliary-field quantum Monte Carlo with matrix product state trial wavefunctionsInfluential work since 2022
- Pick up a classic book: Dynamical Stabilization of the Fermi ScaleThe most-reprinted book on the subject
- Read the landmark paper: Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensionsCited 6,587 times
- Go sideways: Gordon decompositionA closely related topic
- Go sideways: Fujikawa methodA closely related topic
📖 Definitions
Noun A quantum field that is mainly made up of fermions.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
Circuit complexity in fermionic field theory
Kinematical Hilbert spaces for fermionic and Higgs quantum field theories
Fermionic sum representations for conformal field theory characters
Mean–Field Evolution of Fermionic Systems
Fermionic Field Theory for Trees and Forests
Spinless fermionic ladders in a magnetic field: Phase diagram
Mean‐Field Evolution of Fermionic Mixed States
🆕 Influential since 2022
Unbiasing fermionic auxiliary-field quantum Monte Carlo with matrix product state trial wavefunctions
Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field
On classification of fermionic rational conformal field theories
Mean-field treatment of the long-range transverse field Ising model with fermionic Gaussian states
Quaternionic fermionic field
📚 Books worth reading
Dynamical Stabilization of the Fermi ScaleFrancesco Sannino · 2012
Theory of Heavy Fermions and Valence FluctuationsTadao Kasuya · 1985
The Continuum Limit of Causal Fermion SystemsFelix Finster · 2016- 📕Simulation of lattic gauge theory at finite temperature and the Columbia supercomputer for lattice QCDHong-Qiang Ding · 1987
- 📕Proceedings of physical phenomena at high magnetic fields-IIZachary Fisk · 1996
- 📕Proceedings of Physical Phenomena at High Magnetic Fields-IVGregory S. Boebinger, Zachary Fisk · 2002
- 📕Contribution to the study of abnormal nuclear states and related problemsMarcel Margulies · 1976
- 📕Fermions on lattice by means of Mandelstam-Wilson phase factorsLuiz C. L. Botelho, Centro Brasileiro de Pesquisas Físicas · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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