HS in flat spacetime. YM-like models

Abstract

We introduce and analyse a few examples of massless higher spin theories in Minkowski spacetime. They are defined in terms of master fields, i.e. fields defined in the whole phase space. More specifically we introduce the HS YM-like theories in any dimension and HS CS-like ones in any odd dimension, in both Abelian and non-Abelian cases. These theories are invariant under gauge transformations that include ordinary gauge transformations, diffeomorphisms and HS gauge transformations. They are not at first sight invariant under local Lorentz transformations, but we show how this invariance can be recovered.We explicitly write down the actions, the eom's as well as the (infinite many) conservation laws in both HS YM and HS CS cases. Then we focus in particular on the HS YM models, we illustrate their $L_{\infty }$ structure and perform their BRST quantization. We also introduce HS scalar and fermion master fields and show that the Higgs mechanism can be realized also in the case of HS YM theories. Next we start the discussion of the perturbative approach to quantization by means of Feynman diagrams. We show that the dependence on the conjugate momentum can be absorbed in a redefinition of the component fields, the coupling and the coordinates. In such a new frozen momentum framework, we argue that only physical states propagate in physical amplitudes and carry out a sample calculation.

arXiv comment74 pages, new version, March. 2020

References in corpus (26)

• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• String Lessons for Higher-Spin Interactions
• Light-Front Higher-Spin Theories in Flat Space
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• $L_{\infty }$ Algebras and Field Theory
• Consistency Conditions on the S-Matrix of Massless Particles
• Higher spin theory in 3-dimensional flat space
• Effective action in a higher-spin background
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Higher-Spin Interactions: four-point functions and beyond
• Quantum Chiral Higher Spin Gravity
• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• Higher-Spin Gauge Theories and Bulk Locality
• Universal Limits on Massless High-Spin Particles
• Chiral Higher Spin Theories and Self-Duality
• On higher spin interactions with matter
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• Spin 3 cubic vertices in a frame-like formalism
• On four-point interactions in massless higher spin theory in flat space
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• Worldline Green Functions for Arbitrary Feynman Diagrams
• One-loop effective actions and higher spins
• Higher-spin kinematics & no ghosts on quantum space-time in Yang-Mills matrix models
• Worldline quantization of field theory, effective actions and $L_{\infty }$ structure

Cited by in corpus (3)

• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Gauging the higher-spin-like symmetries by the Moyal product
• HS Yang-Mills-like models: a review