Light-Front \varvecφ ⁴₁₊₁ ϕ 1 + 1 4 Theory Using a Many-Boson Symmetric-Polynomial Basis

2015/12/29 by S. S. Chabysheva · 7 citations
Mathematics · Physics and Astronomy · #Basis (linear algebra) #Black Holes and Theoretical Physics #Boson #Combinatorics #Coupling (piping) #Eigenvalues and eigenvectors #Fock space #Fock state #Function (biology) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Polynomial #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetric function #Symmetry (geometry) #Wave function #hep-ph

paper · pdf · doi:10.1007/s00601-016-1106-0

published in Few-Body Systems 57(8), 675-680 (Springer Science+Business Media) · 7 pages, 2 figures, 1 table; RevTeX 4.1; talk contributed to the Lightcone 2015 workshop, Frascati, Italy, September 21-25, 2015

arxiv created 2015/12/29 · openalex publication_date 2016/04/26 · arxiv updated 2016/05/25 · openalex created_date 2018/03/29 · openalex updated_date 2026/08/05

Abstract

We extend earlier work on fully symmetric polynomials for three-boson wave functions to arbitrarily many bosons and apply these to a light-front analysis of the low-mass eigenstates of ϕ⁴ theory in 1+1 dimensions. The basis-function approach allows the resolution in each Fock sector to be independently optimized, which can be more efficient than the preset discrete Fock states in DLCQ. We obtain an estimate of the critical coupling for symmetry breaking in the positive mass-squared case.

Citations

• Transition in the spectrum of the topological sector ofϕ24theory at strong coupling
• Density matrix renormalization group in a two-dimensional 4Hamiltonian lattice model
• The diagonalization of quantum field Hamiltonians
• Basis of symmetric polynomials for many-boson light-front wave functions
• Quantum chromodynamics and other field theories on the light cone
• Kinks in discrete light cone quantization
• Ab initio results for the broken phase of scalar light front field theory
• Spontaneous symmetry breaking in light front field theory
• Improved lattice measurement of the critical coupling inϕ24theory

Cited by

• High-precision calculations in strongly coupled quantum field theory with next-to-leading-order renormalized Hamiltonian Truncation