Fermions |
In General
> s.a. spinor fields; particle types;
spinning particles; statistical
mechanical systems.
* Idea: Particles obeying
Fermi-Dirac statistics, such that any N-particle quantum state
changes sign when any two of them are exchanged; They are usually
represented in physics by spinor fields, belonging to a representation
space for the Poincaré group with half-integer value of the spin
s, and their role is that of elementary constituents of matter.
@ General references: Zimborás et al EPJQT(14)-a1211 [dynamical systems approach];
Lin et al ChPB(13)-a1307 [diagrammatic categorification of fermion algebra];
Lee a1312 [massive, in 2+1 dimensions];
Lee a1404 [mass-dimension-one Elko fermions];
Finster a1404 [index of the fermionic signature operator];
Espin a1509-PhD [second-order formulation];
Szalay et al a2006 [and quantum information].
@ Interacting: Finster a0908 [action and continuum limit];
Braghin EPJP(15)-a1505 [higher-order effective interactions];
synopsis Phy(19) [atoms pairing up].
@ Systems of fermions: Schilling PRA(15)-a1409 [occupation numbers in N-fermion states];
Caulton a1409 [and mereology].
@ Many-body systems:
Mattis a1301-ch [D > 1];
Watson a1506 [enforcing the Pauli principle on paper];
Fournais et al a1510,
Ribeiro & Burke a1510 [semiclassical limit].
@ Quantization: Borstnik & Nielsen a2007-proc,
a2007-proc [based on Clifford and Grassmann algebras];
> s.a. types of quantum field theories
and modified theories.
> Specific theories:
see dirac fields; low-spin field
theories [spin-1/2 and 3/2]; high-spin field theories;
gas; kaluza-klein phenomenology;
fermions in lattice field theory [including doubling];
supersymmetry; types of field theories.
Relationship with Bosons
> s.a. Bosons [relationship, transformations between fermions and bosons];
composite quantum systems.
* Bound states: An
even number of fermions can combine to produce composite systems
(e.g., spinor bilinears) exhibiting bosonic behavior.
@ Fermions without fermions:
Kálnay IJTP(77);
Paredes & Cirac PRL(03)cm/02,
et al PRA(02);
Mecklenburg & Regan PRL(11)-a1003
+ news PhysOrg(11)mar,
ns(11)may [from properties of a background space; electron hopping in graphene];
Wetterich AP(10)-a1006,
JPCS(12)-a1201 [from classical statistics];
Kawamura a1406 [from scalar fields];
> s.a. composite models; Fermionization;
dirac fields [from bosons]; spinors in field theory
[from pure gravity].
@ Composite fermions: Liebing & Blaschke PPN(15)-a1406;
Son PRX(15) [effective field theory and symmetries].
Related Topics
@ Causal fermion systems:
Finster in(06)gq [variational principle];
Finster FTP-a1605,
JPCS(18)-a1709 [continuum limit, primer];
Finster Sigma(20)-a1711 [causal action principle];
Finster a1812-conf [intro];
Finster & Kindermann JMP(20)-a1908 [gauge-fixing procedure];
Finster & Jokel a1908-in [introduction];
Oppio AHP(20)-a1909 [mathematical foundations];
Finster & Platzer a1912 [asymptotically flatness and positive energy];
Finster & Oppio a2004 [local algebras];
Kleiner a2006-PhD [and spacetime fields];
Finster et al a2101 [dynamical wave equation];
Finster & Kamran a2101 [fermionic Fock spaces];
> s.a. discrete models; emergence;
Initial-Value Problem; unified theories.
@ Types of fermions: Henneaux et al JHEP(14)-a1310 [higher-spin, gravitational interactions];
Zhu et al PRX(16) [triple-point fermions];
Levine a1901
[non-local, small-scale randomized dispersion relation and entropy volume law];
Wang & Li a1907 [π-type];
Lee a1912 [mass-dimension-1, including higher-spin, rev];
Hoff da Silva et al a2006 [exotic fermions, and the gup];
Ahluwalia book(19)-a2007 [mass dimension one fermions].
@ Other topics: Chung & Daoud MPLA(14)-a1412 [one-parameter generalized algebra];
Rinehart a1505 [classical formulation];
Shapiro a1611 [covariant derivative];
Finster & Reintjes ATMP(18)-a1708 [fermionic signature operator];
Spadaro a2003 [discrete fermions, correlation functions].
> Other topics: see Fermi-Einstein
Condensation; geons and Kinks [fermionic];
Solid Light; particle statistics [including
fermion number]; Quasiparticles; solitons.
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