https://doi.org/10.1140/epjc/s10052-013-2567-7
Regular Article - Theoretical Physics
SU(2)×U(1) Yang–Mills theories in 3d with Higgs field and Gribov ambiguity
1
Departamento de Física Teórica, Instituto de Física, UERJ—Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013, Maracanã, Rio de Janeiro, Brazil
2
Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Gent, Belgium
* e-mail: caprimarcio@gmail.com
Received:
17
May
2013
Revised:
10
July
2013
Published online:
8
October
2013
We study the structure of the gauge propagators of a 3d version of the electroweak interaction in terms of the Higgs vacuum expectation value ν, of the non-Abelian gauge coupling g, and of the Abelian gauge coupling g′, when nonperturbative effects related to the non-Abelian gauge fixing are introduced by means of an adapted path integral measure. In the perturbative regime of small non-Abelian coupling g and sufficiently large ν, the well-known standard Z and W propagators are recovered, together with a massless photon. In general, depending on the relative magnitudes of g, g′ and ν, we uncover a quite different propagator structure. In a later stage of research, the results here derived can be used to study the associated phase diagram in more depth.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
