Computation of Characteristics of the Regular Finite Spectrum of a Singular Multiparameter Polynomial Matrix

2020 ◽  
Vol 249 (2) ◽  
pp. 281-289
Author(s):  
V. B. Khazanov
Keyword(s):  
Polynomial Matrix ◽  
Finite Spectrum

Finite Spectrum Property and Predictors

2000 ◽  
Vol 24 (1) ◽  
pp. 125-134 ◽  
Author(s):  
A Olbrot
Keyword(s):  
Finite Spectrum

scholarly journals Symmetry and unification from soft theorems and unitarity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Clifford Cheung ◽  
Zander Moss
Keyword(s):  
Symmetry Algebra ◽  
Scalar Fields ◽  
Particle Interactions ◽  
Massive Scalar ◽  
Coset Space ◽  
Dimensional Theory ◽  
Finite Spectrum ◽  
Physical Constraints ◽  
High Energies ◽  
Zero Condition

Abstract We argue that symmetry and unification can emerge as byproducts of certain physical constraints on dynamical scattering. To accomplish this we parameterize a general Lorentz invariant, four-dimensional theory of massless and massive scalar fields coupled via arbitrary local interactions. Assuming perturbative unitarity and an Adler zero condition, we prove that any finite spectrum of massless and massive modes will necessarily unify at high energies into multiplets of a linearized symmetry. Certain generators of the symmetry algebra can be derived explicitly in terms of the spectrum and three-particle interactions. Furthermore, our assumptions imply that the coset space is symmetric.

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