ON THE LAGRANGIAN AND HAMILTONIAN FORMULATION OF A SCALAR FREE FIELD THEORY AT NULL INFINITY

White noise theory (60H40) Quantum field theory on curved space or space-time backgrounds (81T20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Cites Work

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Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property
Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence
On static and radiative space-times
Integral transforms of analytic functions on abstract Wiener spaces
Transformations for white noise functionals
Properties of infinite dimensional Hamiltonian systems
Infinite dimensional Lie transformation groups
Unitary representations of semi-direct product groups with infinite dimensional Abelian normal subgroup
A universal phase space for particles in Yang-Mills fields
A holographic reduction of Minkowski space-time
Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
Generalized free fields and the AdS-CFT correspondence
Algebraic holography
Finite dimensional Hida distributions
Large \(N\) field theories, string theory and gravity
The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket
Presymplectic manifolds and the Dirac–Bergmann theory of constraints
The inverse problem of the calculus of variations applied to continuum physics
The Bondi—Metzner—Sachs group in the nuclear topology
Holography in asymptotically flat spacetimes and the BMS group
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints
RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES

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