Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory

1989 ◽  
Vol 40 (3) ◽  
pp. 307-329 ◽  
Author(s):  
Francesco Fass� ◽  
Giancarlo Benettin
Keyword(s):  
Perturbation Theory ◽  
Hamiltonian Perturbation ◽  
Lie Transforms ◽  
Hamiltonian Perturbation Theory

scholarly journals Spacelike deformations: higher-helicity fields from scalar fields

2020 ◽  
Vol 110 (8) ◽  
pp. 2019-2038 ◽  
Author(s):  
Vincenzo Morinelli ◽  
Karl-Henning Rehren
Keyword(s):  
Perturbation Theory ◽  
Time Evolution ◽  
Infinite Family ◽  
Scalar Fields ◽  
Quantum Field ◽  
Maxwell Theory ◽  
Hamiltonian Perturbation ◽  
Klein Gordon ◽  
Hamiltonian Perturbation Theory

Abstract In contrast to Hamiltonian perturbation theory which changes the time evolution, “spacelike deformations” proceed by changing the translations (momentum operators). The free Maxwell theory is only the first member of an infinite family of spacelike deformations of the complex massless Klein–Gordon quantum field into fields of higher helicity. A similar but simpler instance of spacelike deformation allows to increase the mass of scalar fields.

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