Nonperturbative definition of the standard models
Juven Wang, Xiao-Gang Wen
Abstract
This works aims to provide a quantum nonperturbative definition of chiral fermions coupled to gauge theories without fermion doubling. The authors show that if a quantum field theory is free of all perturbative local anomalies and nonperturbative global anomalies, then it can be regarded as the boundary theory of the trivial symmetric interacting invertible topological orders with a trivial cobordism invariant.
Topics & Concepts
FermionPhysicsTheoretical physicsQuantum field theoryGauge theoryCobordismBoundary (topology)QuantumStandard Model (mathematical formulation)Field (mathematics)Fermionic fieldGauge (firearms)Quantum mechanicsField theory (psychology)Gauge anomalyBoundary value problemInvertible matrixMathematical physicsPerturbation theory (quantum mechanics)MathematicsMixed anomalyQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies