What is Fermion: Definition and 110 Discussions

In particle physics, a fermion is a particle that follows Fermi–Dirac statistics and generally has half odd integer spin: spin 1/2, spin 3/2, etc. These particles obey the Pauli exclusion principle. Fermions include all quarks and leptons, as well as all composite particles made of an odd number of these, such as all baryons and many atoms and nuclei. Fermions differ from bosons, which obey Bose–Einstein statistics.
Some fermions are elementary particles, such as the electrons, and some are composite particles, such as the protons. According to the spin-statistics theorem in relativistic quantum field theory, particles with integer spin are bosons, while particles with half-integer spin are fermions.
In addition to the spin characteristic, fermions have another specific property: they possess conserved baryon or lepton quantum numbers. Therefore, what is usually referred to as the spin statistics relation is in fact a spin statistics-quantum number relation.As a consequence of the Pauli exclusion principle, only one fermion can occupy a particular quantum state at a given time. If multiple fermions have the same spatial probability distribution, then at least one property of each fermion, such as its spin, must be different. Fermions are usually associated with matter, whereas bosons are generally force carrier particles, although in the current state of particle physics the distinction between the two concepts is unclear. Weakly interacting fermions can also display bosonic behavior under extreme conditions. At low temperature fermions show superfluidity for uncharged particles and superconductivity for charged particles.
Composite fermions, such as protons and neutrons, are the key building blocks of everyday matter.
The name fermion was coined by English theoretical physicist Paul Dirac from the surname of Italian physicist Enrico Fermi.

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  1. F

    Adiabatic & Quasistatic Expansion of Photon & Fermion Gases

    Homework Statement 1.Show that PV^Y is a constant for adiabatic,quassistatic expansion of a photongas and determine Y 2. Show the same for full degenerate gas of fermions at T=0 Homework Equations The Attempt at a Solution Plz help thx
  2. J

    Fermion Contraction: Peskin & Shroeder Pg 63

    Directly from the Peskin & Shroeder, page 63: S_F(x-y) = \int\frac{d^4p}{(2\pi)^4}\frac{i(\displaystyle{\not}p + m)}{p^2-m^2+i\epsilon} e^{-ip\cdot(x-y)} I'm slightly confused with the notation with the contractions. Things like \overline{\psi}(x)\psi(y) and \psi(x)\overline{\psi}(y) get...
  3. Q

    Four fermion interaction?

    four fermion interaction?? The four fermion interaction proposed by enrico fermi to learn weak interaction postulates that four dirac fields interact via the interaction hamilton J1^{}u*J2_{}u where J1^{}u=phi_d(x)*y^{}u*phi_c(x) but by question is this is the bilinear form taken...
  4. W

    Fermion creation op anticommutator relations

    Homework Statement Homework Equations Given is c_p = \sum_{n_i} (-1)^{N_p}|...,n_p=0,...><...,n_p=1,...| c_p^{\dagger} = \sum_{n_i} (-1)^{N_p}|...,n_p=1,...><...,n_p=0,...| N_p = \sum_{i=1}^{p-1}n_i Verify \{c_p,c_q\} = \{c_p^{\dagger},c_q\} = \{c_p^{\dagger},c_q^{\dagger}\} = 0...
  5. arivero

    Can a Higgs Field in an Isospin Triplet Give Mass to a Standard Model Quark?

    Let me see if I get it right or I dreamed it: in order to give mass to a quark or a lepton the higgs field must be in the same isospin representation that the fermion, must it? IE, can a particle in a isospin triplet get mass from the minimal higgs? Or in the reverse, should a triplet higgs...
  6. CarlB

    Fermion Cube: Standard Model Lagrangian & Preon Model

    An elegant way of writing the standard model Lagrangian. The paper is titled "Standard Model Lagrangian" and is on this site: http://federation.g3z.com/Physics/ This appears to fit well with my preon model of the fermions; and helps fill in how one connects up the gauge bosons in that sort...
  7. B

    Is baryonium fermion or meson?

    Is a baryonium baryon or meson? For example, deutorium, a n-p bound-state, has total spin 0 pr 1, so it is boson, then, it is meson? But it has baryon number (3+3)/3=2. For another example, bound-state of \Lambda_c - \bar{\Lambda_c}, has total spin 0 or 1, so again it is boson, it is meson...
  8. S

    Help How to understand classical Fermion field from anticommuting relations?

    Since we have anticommuting relations for the quantum Dirac fields, this will bring us to the similar classical correspondance but result in Grassmann spinor field function instead. (such as path integral) So when we consider an arbitrary interaction term that like (\bar{\psi} \psi)^n, if...
  9. E

    Atom Composition: Boson or Fermion?

    an atom consists of an electron (spin 1/2) and a positively charged spin 2 particle at the nucleus (in place of the proton). is this 'atom' a boson or a fermion?
  10. M

    Fields of One Fermion: Spin, Charge & Mass

    One thing is bothering me from "the beginning". Let's take one fermion. It has spin, charge and mass (of course). This particle is surrounded with static magnetic field (becouse of it's spin), and with static electric field (becouse of it's charge). Both field (separately) are...
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