Recognition: unknown
The Stueckelberg Field
read the original abstract
In 1938, Stueckelberg introduced a scalar field which makes an Abelian gauge theory massive but preserves gauge invariance. The Stueckelberg mechanism is the introduction of new fields to reveal a symmetry of a gauge--fixed theory. We first review the Stueckelberg mechanism in the massive Abelian gauge theory. We then extend this idea to the standard model, stueckelberging the hypercharge U(1) and thus giving a mass to the physical photon. This introduces an infrared regulator for the photon in the standard electroweak theory, along with a modification of the weak mixing angle accompanied by a plethora of new effects. Notably, neutrinos couple to the photon and charged leptons have also a pseudo-vector coupling. Finally, we review the historical influence of Stueckelberg's 1938 idea, which led to applications in many areas not anticipated by the author, such as strings. We describe the numerous proposals to generalize the Stueckelberg trick to the non-Abelian case with the aim to find alternatives to the standard model. Nevertheless, the Higgs mechanism in spontaneous symmetry breaking remains the only presently known way to give masses to non-Abelian vector fields in a renormalizable and unitary theory.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Explicit Conditions for Diagnosing Tree-Level Unitarity
All tree-level unitarity conditions in spin-≤1 theories are captured by four- and five-point amplitudes and can be diagnosed from particle content alone.
-
Spontaneous Symmetry Breaking and the Emergent Einstein-Standard Model: From Weyl x SU (2)L x U (1)Y Gauge Theory to Geometric Mass Generation
Weyl x SU(2)L x U(1)Y gauge theory with quadratic curvature generates Einstein-Hilbert action, Higgs potential, and Standard Model masses via spontaneous Weyl symmetry breaking.
-
On a quantization of deformed reducible gauge theories
Deformed Abelian reducible gauge theories are restored to exact gauge invariance via Stueckelberg fields, quantized with ghosts, and applied to derive one-loop effective actions for massive fermionic antisymmetric ten...
-
On a quantization of deformed reducible gauge theories
Stueckelberg restoration converts deformed Abelian reducible gauge theories to invariant form, enabling ghost quantization and one-loop effective action computation for massive fermionic tensor fields in AdS as functi...
-
"Metric-affine-like" generalization of YM (mal-YM): detailed classical consideration
A metric-affine-like generalization of Yang-Mills theory adds new interacting fields B_a, h, G_ab and N_a that become massive after spontaneous breaking of GL(n,C) to U(n) and recover standard YM when the mass scale g...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.