Jump to content

Four-fermion interactions

From Wikipedia, the free encyclopedia
(Redirected from Four-fermi interaction)

In quantum field theory, fermions are described by anticommuting spinor fields. A four-fermion interaction describes a local interaction between four fermionic fields at a point in spacetime. A theory involving such an interaction might be an effective field theory or it might be fundamental.

In four spacetime dimensions, such theories are not renormalisable.[citation needed]

Relativistic models

[edit]

Some examples are the following:

Nonrelativistic models

[edit]

A nonrelativistic example is the BCS theory at large length scales with the phonons integrated out so that the force between two dressed electrons is approximated by a contact term.[citation needed]

See also

[edit]

References

[edit]
  • Klevansky, S. P. (1992). "The Nambu—Jona-Lasinio model of quantum chromodynamics". Reviews of Modern Physics. 64 (3): 649–708. doi:10.1103/revmodphys.64.649.
  • Kondo, Kei-ichi (1995). "Thirring model as a gauge theory". Nuclear Physics B. 450 (1–2): 251–266. arXiv:hep-th/9502070. doi:10.1016/0550-3213(95)00316-K.
  • Thies, Michael (2014). "Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing". Physical Review D. 90 (10): 105017. arXiv:1408.5506. doi:10.1103/PhysRevD.90.105017.
  • Zee, Anthony (2010). Quantum Field Theory in a Nutshell (2nd ed.). Princeton University Press. ISBN 9780691140346.