Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

On Dyson-Schwinger equations and the number of fermion families (CROSBI ID 763627)

Druge vrste radova | rukopis

Palle, Davor On Dyson-Schwinger equations and the number of fermion families // arXiv:hep-ph/0703203. 2007.

Podaci o odgovornosti

Palle, Davor

engleski

On Dyson-Schwinger equations and the number of fermion families

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.

Dyson-Schwinger equations; fermion families; nonlinear integral equations

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

arXiv:hep-ph/0703203

2007.

nije evidentirano

objavljeno

Povezanost rada

Fizika

Poveznice