A classical complex $\phi^4$ scalar field in a gauge background

N. Mohammedi (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

We solve the equations of motion of a complex ϕ4 theory coupled to some given gauge field background. The solutions are given in both cylindrical and spherical coordinates and have finite energy.

Mots clés: 11.10.Lm; 11.15.Kc; Classical solution; Abelian Higgs Model; vortices; field theory: scalar; background; gauge field theory; field equations: solution; finite energy; phi**n model: 4; Higgs model: abelian; cylinder

Domaines: Physique des Hautes Energies - Théorie [hep-th]

N. Mohammedi. A classical complex $\phi^4$ scalar field in a gauge background. International Journal of Modern Physics A, 2021, 36 (01), pp.2150003. ⟨10.1142/S0217751X21500032⟩. ⟨hal-02914533⟩