Renormalizability of $\mathcal{N}=1$ super Yang-Mills theory in Landau gauge with a Stueckelberg-like field

Abstract

We construct a vector gauge invariant transverse field configuration $V^H$, consisting of the well-known superfield $V$ and of a Stueckelberg-like chiral superfield. The renormalizability of the Super Yang Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term $m^2\int dV\mathcal{M}(V^H)$, with $\mathcal{M}(V^H)$ a power series in $V^H$. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.

arXiv comment19 pages

References in corpus (25)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• The Stueckelberg Field
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Analytic properties of the Landau gauge gluon and quark propagators
• The Gribov problem and QCD dynamics
• A Stueckelberg Extension of the Standard Model
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Infrared propagators of Yang-Mills theory from perturbation theory
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Analytic structure of the Landau gauge gluon propagator
• Aspects of the Stueckelberg Extension
• Positivity violation for the lattice Landau gluon propagator
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• A Supersymmetric Stueckelberg U(1) Extension of the MSSM
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Positivity violations in QCD
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Variant N= 1 Supersymmetric Non-Abelian Proca-Stueckelberg Formalism in Four Dimensions
• N=1 Supersymmetric Non-Abelian Compensator Mechanism for Extra Vector Multiplet
• Supersymmetric Proca-Yang-Mills System
• N=1 Gribov superfield extension
• The Antighost Equation in N=1 Super-Yang-Mills Theories

Cited by in corpus (4)

• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• On the renormalization of a generalized supersymmetric version of the maximal Abelian gauge
• Non-Abelian gauge theories with composite fields in the background field method
• Revisiting the Abelian $N=1$ super Stueckelberg model