nLab
fermion

Skip the Navigation Links | Home Page | All Pages | Recently Revised | Authors | Feeds | Export |

Context

Physics

physics

Contents

Idea

A fermion is a particle/quantum field that obeys Fermi-Dirac statistics?. By the spin-statistics theorem, this is the same thing as a particle whose spin is half an integer but not itself an integer. Compare boson.

Revised on July 21, 2011 17:28:58 by Urs Schreiber (89.204.153.69)
Edit | Back in time (3 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: HomePage, physics, BV-BRST formalism, brane, conformal field theory, AQFT, quantum field theory, FQFT, smooth Lorentzian space, physicscontents, topological T-duality, T-duality, sigma-model, string theory, higher category theory and physics, path integral, Dijkgraaf-Witten theory, orientifold, Green-Schwarz mechanism, FFRS-formalism, topological quantum field theory, quantum anomaly, QFT with defects, gauge theory, electromagnetism, electromagnetic field, Kalb-Ramond field, electric charge, magnetic charge, Yang-Mills theory, Yang-Mills field, integrable system, quantization, geometric quantization, extended topological quantum field theory, classical physics, classical mechanics, D'Auria-Fre formulation of supergravity, supergravity, classical field theory, Supergravity and Superstrings - A Geometric Perspective, Poisson sigma-model, quantum mechanics, action functional, supersymmetry, Lagrangian, Euler-Lagrange equation, Jordan algebra, Chern-Simons theory, Poincare group, perturbation theory, renormalization, Hamiltonian, gravity, gravity as a BF theory, first-order formulation of gravity, Plebanski formulation of gravity, landscape of string theory vacua, Hamiltonian mechanics, multisymplectic geometry, thermodynamics, dilaton, Dyson formula, gauge fixing, target space, S-duality, net of C-star-systems, conformal net, Haag-Kastler axioms, Topological Quantum Field Theories from Compact Lie Groups, Wightman axioms, quantum operation, modular theory, supersymmetric quantum mechanics, topological Yang-Mills theory, density matrix, hermitian matrix, Maslov index, Osterwalder-Schrader theorem, superselection theory, quantum mechanics in terms of dagger-compact categories, Geometric and topological structures related to M-branes, Stokes phenomenon, deformation quantization, graphical quantum channel, quantum state, Kerr spacetime, standard model of particle physics, observable, phase space, mathematical physics, The Dirac Electron, variational calculus, DHR category, Gleason's theorem, books and reviews in mathematical physics, Kochen-Specker theorem, spin-statistics theorem, Reeh-Schlieder theorem, general relativity, 2d TQFT, TCFT, A-model, B-model, state, Fell's theorem, black hole, fermion, boson, spin, gauge group, Dirac charge quantization and generalized differential cohomology, conserved current, AdS-CFT, Courant sigma-model, Bekenstein-Hawking entropy, generalized second law of thermodynamics, Wess-Zumino-Witten model, Schwarzschild spacetime, 11-dimensional supergravity, kilogram, dual heterotic string theory, variational bicomplex, Calabi-Yau object, quantum gravity, Einstein-Hilbert action, Avogadro constant, Kaluza-Klein mechanism, gauge transformation, spin geometry, gravitino, graviton, BF-theory, cosmological constant, SCFT, electric-magnetic duality, quantization via the A-model, holographic principle, Mathematical Theory of Quantum Fields, quantum electrodynamics, relativistic particle, Green-Schwarz action functional, Stone-von Neumann theorem, Yetter model, superparticle, spinor bundle, Landau-Ginzburg model, second quantization, heterotic string theory, kinematics and dynamics, S-matrix, Haag's theorem, causal locality, string, sewing constraint, photon, time slice axiom, charge, picture of mechanics, path integral as a pull-push transform, Noether's theorem, reductions deformations resolutions in physics, spinning particle, Peierls bracket, Mathematical Topics Between Classical and Quantum Mechanics, Renormalization and Effective Field Theory, configuration space, effective quantum field theory, Quantization of Gauge Systems, Noether identities, gaugino, Bohr topos, Gruppenpest, gluon, gauge boson, Three Roles of Quantum Field Theory, fermionic path integral, quantum integrand, worldvolume, background gauge field, particle, timelike curve, Lorentz force, Nambu-Goto action, differential T-duality, Einstein equation, superstring, Fermi theory of beta decay, Quantum Fields and Strings, second law of thermodynamics, Cauchy surface, self-dual higher gauge theory, what to contribute, mechanics, QCD, functorial analysis, Dirac interaction picture, classical state, Jordan-Lie-Banach algebra, Local Quantum Physics -- Fields, Particles, Algebras, spinning string, supersymmetry and Calabi-Yau manifolds, spontaneously broken symmetry, sigma-model -- exposition of classical sigma-models, sigma-model -- exposition of higher gauge theories as sigma-models, sigma-model -- exposition of quantum sigma-models, sigma-model -- exposition of a general abstract formulation, sigma-model -- exposition of second quantization of sigma-models, 4-dimensional supergravity, black brane, higher dimensional Chern-Simons theory, c-theorem, contents of contents, Kapustin-Witten TQFT, instanton, 3-dimensional supergravity, Yang-Mills instanton, moment of inertia, vacuum, 6d (2,0)-supersymmetric QFT, universality class, Geometric Algebra, rigid body dynamics, angular momentum, angular velocity, Euler-Arnold equation, Foundations of Mechanics, Hamiltonian dynamics on Lie groups, 3d quantum gravity, symplectic infinity-groupoid, geometric quantization of symplectic groupoids, Seiberg duality, effective action functional, collective field theory, false vacuum, flux, higher spin gauge theory, super Yang-Mills theory, 7-dimensional supergravity, N=4 D=4 super Yang-Mills theory, gauged supergravity, higher gauge field, physics resources, higher dimensional WZW model, 1-dimensional Chern-Simons theory, 4d WZW model, p-adic physics, quantum observable, coset WZW model, 1d WZW model, quantum hadrodynamics