Reducible Stueckelberg symmetry and dualities

@inproceedings{Abakumova2021ReducibleSS,
  title={Reducible Stueckelberg symmetry and dualities},
  author={V. A. Abakumova and S. Lyakhovich},
  year={2021}
}
We propose a general procedure for iterative inclusion of Stueckelberg fields to convert the theory into gauge system being equivalent to the original one. In so doing, we admit reducibility of the Stueckelberg gauge symmetry. In this case, no pairing exists between Stueckelberg fields and gauge parameters, unlike the irreducible Stueckelberg symmetry. The general procedure is exemplified by the case of Proca model, with the third order involutive closure chosen as the starting point. In this… Expand

References

SHOWING 1-10 OF 19 REFERENCES
The Stueckelberg Field
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 aExpand
Consistent deformations of free massive field theories in the Stueckelberg formulation
A bstractCohomological techniques within the Batalin-Vilkovisky (BV) extension of the Becchi-Rouet-Stora-Tyutin (BRST) formalism have proved invaluable for classifying consistent deformations ofExpand
Quantization of Gauge Systems
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classicalExpand
Non-Abelian conversion and quantization of nonscalar second-class constraints
We propose a general method for the deformation quantization of any second-class constrained system on a symplectic manifold. The constraints determining an arbitrary constraint surface are inExpand
BRST theory without Hamiltonian and Lagrangian
We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gaugeExpand
S-MATRIX APPROACH TO MASSLESS HIGHER SPINS THEORY II: THE CASE OF INTERNAL SYMMETRY
The system of higher massive spins s = 0, 1, 2,… (every spin lies in o(n)-matrix algebra) is studied in the framework of the light-cone formalism. It is shown that the conditions of closure of theExpand
Consistent interactions and involution
A bstractStarting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well applies to theExpand
Lagrange structure and quantization
A path-integral quantization method is proposed for dynamical systems whose clas- sical equations of motion do not necessarily follow from the action principle. The key new notion behind thisExpand
Actions for self-dual Higher Spin Gravities
Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensionsExpand
Generalized gauge fields
Coupling constants in gauge theory are eigenvalues of invariant linear transformations in the Lie algebra g of the structure group G. Generalized gauge fields are obtained by considering equivariantExpand
...
1
2
...