On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
arXiv:1610.02886 · doi:10.1016/j.nuclphysb.2016.10.003
Abstract
In this paper we analyze the interactions of a massive spin-2 particles charged under both Abelian and non-Abelian group using the Porrati-Rahman Lagrangian. This theory is valid up to an intrinsic cutoff scale. Phenomenologically a theory valid up to a cutoff scale is sensible as all known higher spin particles are non-fundamental and it is shown that indeed this action can be used to estimate some relevant cross section. Such action necessarily includes Stuckelberg field and therefore it is necessary to fix the corresponding gauge symmetry. We show that this theory, when the Stuckelberg symmetry is gauge-fixed, possesses a non-trivial infrared problem. A gauge fixing ambiguity arises which is akin to the Gribov problem in QCD in the Abelian case as well. In some cases (such as when the space-time is the four-dimensional torus) the vacuum copies can be found analytically. A similar phenomenon also appears in the case of Proca fields. A very interesting feature of these copies is that they arise only for "large enough" gauge potentials. This opens the possibility to avoid the appearance of such gauge fixing ambiguities by using a Gribov-Zwanziger like approach.
arXiv commentVersion accepted for publication in Nuclear Physics B
References in corpus (35)
- The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
- FeynRules - Feynman rules made easy
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
- Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate in the Landau gauge
- No confinement without Coulomb confinement
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
- Landau gauge within the Gribov horizon
- Glueball masses from an infrared moment problem and nonperturbative Landau gauge
- String Theory and The Velo-Zwanziger Problem
- Geometric Lagrangians for massive higher-spin fields
- On massive spin 2 electromagnetic interactions
- Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories
- Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to Electromagnetism
- Generalized Hedgehog ansatz and Gribov copies in regions with non trivial topologies
- Spin-2 Resonances in Vector-Boson-Fusion Processes at NLO QCD
- Casimir energy in the Gribov-Zwanziger approach to QCD
- Prima Facie Evidence against Spin-Two Higgs Impostors
- Note on 125 GeV Spin-2 particle
- Gribov ambiguity and degenerate systems
- Gribov pendulum in the Coulomb gauge on curved spaces
- Notes on a Cure for Higher-Spin Acausality
- Gribov Problem for Gauge Theories: a Pedagogical Introduction
- Gribov gap equation at finite temperature
- Gribov ambiguity in asymptotically AdS three-dimensional gravity
- Gravitationally induced zero modes of the Faddeev-Popov operator in the Coulomb gauge for Abelian gauge theories
- Distinguishing spins at the LHC using bound state signals
- A few remarks on the zero modes of the Faddeev-Popov operator in the Landau and maximal Abelian gauges
- Higgs decay into photons through a spin-2 loop
- Size of the Gribov region in curved spacetime
- Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
- Abelian gauge theories on compact manifolds and the Gribov ambiguity
- Consequences of Partial Vector Meson Dominance for the Phenomenology of Colored Technihadrons