Pregled bibliografske jedinice broj: 404870
On Dyson-Schwinger equations and the number of fermion families
On Dyson-Schwinger equations and the number of fermion families, 2007. (rukopis).
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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:
Davor Palle
(autor)