Anti-Higgs effect in two-dimensional gauge theories. (English) Zbl 0645.53066

Aragone, C.; Deser, S.; Ferrara, S.

Classical Quantum Gravity 4, No. 4, 1003-1010 (1987).

Two-dimensional gravitational and vector gauge theories obtained by reduction of \(D=3\) topologically massive ones exhibit an ‘anti-Higgs’ effect: the gauge fields are absorbed by their massless scalar or spinor partners which thereby acquire a mass. The analysis of the supersymmetric vector model is also carried out in superspace, where it is shown that it can be correspondingly formulated in terms of pseudoscalar (rather than spinor) superfield strengths. Its first-order formulation is used to derive the self-interaction by a Noether procedure from the Abelian action directly in superspace. The scalar superfield is also used to construct other \(\sigma\)-model-like nonlinear actions.

MSC:

53C80	Applications of global differential geometry to the sciences
81T60	Supersymmetric field theories in quantum mechanics
83E15	Kaluza-Klein and other higher-dimensional theories

Keywords:

Kaluza-Klein scalars; mass; gauge theories; supersymmetric vector model; superspace; scalar superfield; nonlinear actions