Pauli-Villars regularization

Pauli-Villars regularization

In theoretical physics, Pauli-Villars regularization is a procedure that isolates divergent terms from finite parts in loop calculations in field theory in order to renormalize the theory. Wolfgang Pauli and Felix Villars published the method in 1949, based on earlier work by Richard Feynman, Ernst Stueckelberg and Dominique Rivier.cite book|title=QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga|publisher=Princeton University Press|location=Princeton, N.J.|date=1994]

In this treatment, a divergence arising from a loop integral (such as vacuum polarization or electron self-energy) is modulated by a spectrum of auxiliary particles added to the Lagrangian or propagator. When the masses of the fictitious particles are taken as an infinite limit (i.e., once the regulator is removed) one expects to recover the original theory.

This regulator is gauge invariant due to the auxiliary particles being minimally coupled to the photon field through the gauge covariant derivative. It is not gauge covariant, though, so Pauli-Villars regularization cannot be used in QCD calculations. P-V serves as an alternative to the more favorable dimensional regularization in specific circumstances, such as in chiral phenomena, where a change of dimension alters the properties of the Dirac gamma matrices.

Notes

References

* Bjorken, J.D., Drell, S.D. "Relativistic Quantum Mechanics", McGraw-Hill Book Company, New York City, New York 1964.
* Collins, John. "Renormalization", Cambridge University Press, Cambridge, England, 1984.
* Hatfield, Brian. "Quantum Field Theory of Point Particles and Strings", Addison-Wesley Publishing Company, Redwood, California, 1992.
* Itzykson, C., Zuber, J-B. "Quantum Field Theory", McGraw-Hill Book Company, New York City, New York, 1980.
* Pauli, W., Villars, F. "On the Invariant Regularization in Relativistic Quantum Theory", [http://link.aps.org/abstract/RMP/v21/p434 Rev. Mod. Phys, 21, 434-444 (1949)] .

See also

* Regularization (physics)
* Dimensional regularization


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Regularization (physics) — In physics, especially quantum field theory, regularization is a method of dealing with infinite, divergent, and non sensical expressions by introducing an auxiliary concept of a regulator (for example, the minimal distance epsilon in space which …   Wikipedia

  • Felix Villars — Infobox Scientist name=Felix Villars caption = birth date = birth date|1921|1|6|df=y birth place = Biel, Switzerland death date = death date and age|2002|4|27|1921|1|6|df=y death place = Belmont, Massachusetts alma mater = ETH Zurich work… …   Wikipedia

  • Wolfgang Pauli — Infobox Scientist name = Wolfgang Pauli caption = Wolfgang Ernst Pauli (1900 1958) birth date = Birth date|1900|4|25|df=yes birth place = Vienna, Austria Hungary death date = Death date and age|1958|12|15|1900|4|25|df=yes death place = Zurich,… …   Wikipedia

  • Dimensional regularization — Renormalization and regularization Renormalization Renormalization …   Wikipedia

  • Wolfgang Pauli — Pour les articles homonymes, voir Pauli (homonymie). Wolfgang Ernst Pauli Naissance 25  …   Wikipédia en Français

  • Renormalization — Quantum field theory (Feynman diagram) …   Wikipedia

  • Anomaly (physics) — In quantum physics an anomaly or quantum anomaly is the failure of a symmetry of a theory s classical action to be a symmetry of any regularization of the full quantum theory. In classical physics an anomaly is the failure of a symmetry to be… …   Wikipedia

  • Régularisation (physique) — En physique théorique, la régularisation est une procédure ad hoc qui consiste à modifier une grandeur physique qui présente une singularité afin de la rendre régulière. La régularisation est par exemple abondamment utilisée en théorie quantique… …   Wikipédia en Français

  • Regularisation (physique) — Régularisation (physique) En physique théorique, la régularisation est une procédure ad hoc qui consiste à modifier une grandeur physique qui présente une singularité afin de la rendre régulière. La régularisation est par exemple abondamment… …   Wikipédia en Français

  • Renormalisation — Traduction à relire Renormalization → Reno …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”