Constructive use of holographic projections

TL;DR

This paper explores a new approach to quantum field theory (QFT) using holographic projections, emphasizing algebraic methods and constructive models beyond traditional Lagrangian techniques.

Contribution

It introduces holographic projection as a key tool in developing intrinsic constructive approaches to QFT, moving beyond Lagrangian quantization.

Findings

Holographic projections simplify certain QFT aspects

Algebraic methods support the existence of factorizing models

New conceptual frameworks for interacting QFT models

Abstract

Revisiting the old problem of existence of interacting models of QFT with new conceptual ideas and mathematical tools, one arrives at a novel view about the nature of QFT. The recent success of algebraic methods in establishing the existence of factorizing models suggests new directions for a more intrinsic constructive approach beyond Lagrangian quantization. Holographic projection as a simplifying tool for certain aspects of QFT turn out to be an indispensible part of these new attempts.