The Dynamical Nonabelian Two-Form: BRST Quantization

Abstract

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a $B\wedge F$ coupling and a kinetic term for $B$ is included, the gauge field develops an effective mass. The theory can be made invariant under a non-abelian vector gauge symmetry by introducing an auxiliary vector field. The covariant quantization of this theory requires ghosts for ghosts. The resultant theory including gauge fixing and ghost terms is BRST-invariant by construction, and therefore unitary. The construction of the BRST-invariant action is given for both abelian and non-abelian models of mass generation.

15 pages, revtex

References in corpus (1)

• Nonabelian Topological Mass Generation in 4 Dimensions

Cited by in corpus (41)

• The Stueckelberg Field
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Generalization of Yang-Mills Theory
• Abelian p-Form (p = 1, 2, 3) Gauge Theories as the Field Theoretic Models for the Hodge Theory
• A No-Go Theorem for the Nonabelian Topological Mass Mechanism in Four Dimensions
• Finite BRST transformation and constrained systems
• Abelian 2-form gauge theory: special features
• Renormalizability of the Dynamical Two-Form
• Quantum Gauge Freedom in Very Special Relativity
• Topological mass generation in four-dimensional gauge theory
• Anomalous Gauge Theories with Antisymmetric Tensor Fields
• Anomalous chromomagnetic moment of quarks
• Topologically Massive Non-Abelian Gauge Theories: Constraints and Deformations
• Non-Abelian Chiral 2-Form and M5-Branes
• Topologically Massive Abelian Gauge Theory From BFT Hamiltonian Embedding of A First-order Theory
• Dual-BRST symmetry: 6D Abelian 3-form gauge theory
• Absolutely anticommuting (anti-)BRST symmetry transformations for topologically massive Abelian gauge theory
• Topologically massive non-Abelian theory: superfield formalism
• New observations in the BRST analysis of dynamical non-Abelian 2-form gauge theory
• Local symmetries of the non-Abelian two-form
• BRST analysis of topologically massive gauge theory: novel observations
• Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory
• A Universal Lagrangian for Massive Yang-Mills Theories without Higgs Bosons
• Non-Abelian Tensor Gauge Fields
• Nilpotent Symmetries in Jackiw-Pi Model: Augmented Superfield Approach
• Superfield Approach to Nilpotent Symmetries of the Freedman-Townsend Model: Novel Features
• Aspects of Noncommutative Scalar/Tensor Duality
• Nilpotent and absolutely anticommuting symmetries in the Freedman-Townsend model: augmented superfield formalism
• Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity
• $\beta$-function for topologically massive gluons
• A new picture on (3+1)D topological mass mechanism
• Electroweak symmetry breaking in other terms
• Mass generation for abelian spin-1 particles via a symmetric tensor
• Consistent deformations method applied to a topological coupling of antisymmetric gauge fields in D=3
• Canonical Formalism for a 2n-Dimensional Model with Topological Mass Generation
• Mass generation for non-Abelian antisymmetric tensor fields in a three-dimensional space-time
• HTL effective action of topologically massive gluons in 3+1 dimensions
• Quark ACM with topologically generated gluon mass
• Superunitary operator and BRST transformations for non-Abelian two-form
• An equivalence of two mass generation mechanisms for gauge fields
• The Polyakov loop dependence of bulk viscosity of QCD matter