# The Stueckelberg Field

@article{Ruegg2004TheSF, title={The Stueckelberg Field}, author={Henri Ruegg and Mart{\'i} Ruiz-Altaba}, journal={International Journal of Modern Physics A}, year={2004}, volume={19}, pages={3265-3347} }

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…

## 296 Citations

### Physical Unitarity for Massive Non-abelian Gauge Theories in the Landau Gauge: Stueckelberg and Higgs

- Physics
- 2004

We discuss the problem of unitarity for Yang-Mills theory in the Landau gauge with a mass term a la Stueckelberg. We assume that the theory (non-renormalizable) makes sense in some subtraction scheme…

### Stueckelberg and Higgs Mechanisms: Frames and Scales

- PhysicsUniverse
- 2022

We consider Yang–Mills theory with a compact gauge group G on Minkowski space R3,1 and compare the introduction of masses of gauge bosons using the Stueckelberg and Higgs mechanisms. The Stueckelberg…

### Scalar gauge fields

- Physics
- 2014

A bstractIn this paper we give a variation of the gauge procedure which employs a scalar gauge field, B(x), in addition to the usual vector gauge field, Aμ(x). We study this variant of the usual…

### Teorias de gauge a la Utiyama

- Mathematics
- 2018

We review the construction of the gauge theory for semi-simple Lie groups by Utiyama in “Invariant Theoretical Interpretation of Interaction”[1]. It is shown an auxiliary field A μ a x must be…

### GAUGE-INVARIANT REFORMULATION OF THE VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM AND ITS HAMILTONIAN, PATH INTEGRAL AND BRST FORMULATIONS

- Physics
- 2007

Using the Stueckelberg formalism, we construct a gauge-invariant version of the vector Schwinger model (VSM) with a photon mass term studied by one of us recently. This model describes…

### Weyl relativity: a novel approach to Weyl's ideas

- Physics
- 2017

In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge…

### Light-front QED, Stueckelberg field and infrared divergence

- PhysicsModern Physics Letters A
- 2019

Stueckelberg mechanism introduces a scalar field, known as Stueckelberg field, so that gauge symmetry is preserved in the massive Abelian gauge theory. In this work, we show that the role of the…

### Mass Generation Without the Higgs Mechanism

- Physics
- 2015

As it is commonly understood, the Higgs mechanism is designed to introduce the masses of the gauge bosons by a spontaneous breaking of the gauge symmetry by an additional field. In this paper we…

### Two-dimensional Yukawa interactions from nonlocal Proca quantum electrodynamics

- Physics
- 2018

We derive two versions of an effective model to describe dynamical effects of the Yukawa interaction among Dirac electrons in the plane. Such short-range interaction is obtained by introducing a mass…

## References

SHOWING 1-10 OF 342 REFERENCES

### The Generalized Stueckelberg Formalism and the Glashow-Weinberg-Salam Electroweak Model

- Physics
- 1984

By employing the generalized Stueckelberg formalism, an electroweak gauge model is constructed, which preserves all the successful low energy predictions of the standard Glashow-Weinberg-Salam model…

### Refined Chiral Slavnov–Taylor Identities: Renormalization and Local Physics

- Mathematics
- 2002

We study the quantization of chiral QED with one family of massless fermions and the Stueckelberg field in order to give mass to the Abelian gauge field in a BRST-invariant way. We show that an…

### Unitary gauge, Stueckelberg formalism, and gauge-invariant models for effective Lagrangians.

- PhysicsPhysical review. D, Particles and fields
- 1993

Within the framework of the path-integral formalism, the equivalence of effective-Lagrangian theories, containing arbitrary interactions, to (nonlinearly realized) spontaneously broken gauge theories and how they can be extended to Higgs models is discussed.

### Symmetry Breaking in Non-Abelian Gauge Theories

- Physics
- 1967

According to the Goldstone theorem, any manifestly covariant broken-symmetry theory must exhibit massless particles. However, it is known from previous work that such particles need not appear in a…

### Massive renormalizable Abelian gauge theory in 2+1 dimensions.

- PhysicsPhysical review. D, Particles and fields
- 1995

In this chapter, the canonical structure of the model is examined using the Dirac constraint formalism, and the one-loop spinor self energy is computed using operator regularization, a technique which respects the three dimensional character of the antisymmetric tensor.

### Low energy strong electroweak sector with decoupling.

- PhysicsPhysical review. D, Particles and fields
- 1996

It is conceivable that degenerate BESS has low mass spin-one states and gives quite visible signals at existing or forthcoming accelerators, and it is worthwhile to fully develop the model, together with its possible generalizations, and to study the expected phenomenology.

### Deriving nondecoupling effects of heavy fields from the path integral: A heavy Higgs field in an SU(2) gauge theory.

- PhysicsPhysical review. D, Particles and fields
- 1995

We describe a method to remove nondecoupling heavy fields from a quantized field theory and to construct a low-energy one-loop effective Lagrangian by integrating out the heavy degrees of freedom in…