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Pregled bibliografske jedinice broj: 404870

On Dyson-Schwinger equations and the number of fermion families


Palle, Davor
On Dyson-Schwinger equations and the number of fermion families, 2007. (rukopis).


CROSBI ID: 404870 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On Dyson-Schwinger equations and the number of fermion families

Autori
Palle, Davor

Izvornik
ArXiv:hep-ph/0703203

Vrsta, podvrsta
Ostale vrste radova, rukopis

Godina
2007

Ključne riječi
Dyson-Schwinger equations; fermion families; nonlinear integral equations

Sažetak
We study Dyson-Schwinger equations for propagators of Dirac fermions interacting with a massive gauge boson in the ladder approximation. The equations have the form of the coupled nonlinear integral Fredholm equations of the second kind in the spacelike domain. The solutions in the timelike domain are completely defined by evaluations of integrals of the spacelike domain solutions. We solve the equations and analyze the behavior of solutions on the mass of the gauge boson, the coupling constant, and the ultraviolet cutoff. We find that there are at least two solutions for the fixed gauge boson mass, coupling, and the ultraviolet cutoff, thus there are at least two fermion families. The zero-node solution represents the heaviest Dirac fermion state, while the one-node solution is the lighter one. The mass gap between the two families is of the order of magnitude observed in nature.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekti:
098-0000000-3277 - Teški Majorana neutrini u fizici čestica i kozmologiji

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Davor Palle (autor)

Citiraj ovu publikaciju:

Palle, Davor
On Dyson-Schwinger equations and the number of fermion families, 2007. (rukopis).
Palle, D. (2007) On Dyson-Schwinger equations and the number of fermion families. arXiv:hep-ph/0703203. Rukopis.
@unknown{unknown, author = {Palle, Davor}, year = {2007}, keywords = {Dyson-Schwinger equations, fermion families, nonlinear integral equations}, title = {On Dyson-Schwinger equations and the number of fermion families}, keyword = {Dyson-Schwinger equations, fermion families, nonlinear integral equations} }
@unknown{unknown, author = {Palle, Davor}, year = {2007}, keywords = {Dyson-Schwinger equations, fermion families, nonlinear integral equations}, title = {On Dyson-Schwinger equations and the number of fermion families}, keyword = {Dyson-Schwinger equations, fermion families, nonlinear integral equations} }




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