Some remarks on the “null plane development” of a relativistic quantum field theory

doi:10.1007/BF01877587

Paper

Some remarks on the “null plane development” of a relativistic quantum field theory

Published 1972 · S. Schlieder, E. Seiler

Communications in Mathematical Physics

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Abstract

We give conditions for the existence of field operators on so-called null planes and discuss some consequences of the necessary restriction of the test function space, concerning Haag's theorem and the possibility of unitary mappings intertwining between free fields of different masses. In the last section we discuss conditions under which a unitary representation of the dilatations in the null plane gives rise to a unitary representation of the dilatations in Minkowski space.

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Null plane development in relativistic quantum field theory can lead to unitary representations of dilatations in Minkowski space, with implications for Haag's theorem and unitary mappings between free fields of different masses.

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

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Paper

Some remarks on the “null plane development” of a relativistic quantum field theory

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References

Quantum electrodynamics on null planes and applications to lasers

The null-plane formulation of quantum electrodynamics allows for exact closed-form solutions and construction of wave packets, making it more efficient for studying laser fields.

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Scale Invariance and Current Commutators Near the Light Cone

Current commutators with power-type singularities near the light cone can lead to generalized scaling laws for inelastic electron-nucleon scattering and Regge behavior.

Citations

Modular Operator for Null Plane Algebras in Free Fields

A certain form of QNEC is valid in free fields involving causal completions of half-spaces on the null plane (null cuts), and we compute the relative entropy of null cut algebras.

Mutual information superadditivity and unitarity bounds

Strong superadditivity of mutual information and unitarity bounds encoded in this inequality saturate for free fields, highlighting the possibility of localizing algebras on null surfaces.

Comparing light-front quantization with instant-time quantization

Instant-time and light-front quantization are equivalent, unitarily equivalent, and can be transformed into each other at unequal times.

Wavelet representation of light-front quantum field theory

The wavelet representation of quantum field theory on a light front allows for efficient computation of light-front preserving Poincare transformations and natural resolution and volume truncations.

A new approach to the LSZ reduction formula

This paper presents an improved method for creating strong infinite-time limits in LSZ operators, enabling a transparent and deductive treatment of scattering theory in relativistic quantum field theories.