Spacetime Dependent Lagrangians and Weak-Strong Duality : Sine Gordon and Massive Thirring Models

TL;DR

This paper applies spacetime dependent Lagrangian formalism to the sine-Gordon and massive Thirring models, revealing their weak-strong duality and connecting it to holographic principles and noncommutative boundary coordinates.

Contribution

It demonstrates the equivalence of sine-Gordon and Thirring models using spacetime dependent Lagrangians and links this duality to holographic principles beyond quantum gravity.

Findings

Established the sine-Gordon and Thirring models duality via spacetime dependent Lagrangians

Linked duality to holographic principles at larger length scales

Suggested the presence of noncommuting boundary coordinates

Abstract

The formalism of spacetime dependent lagrangians developed in Ref.1 is applied to the Sine Gordon and massive Thirring models.It is shown that the well-known equivalence of these models (in the context of weak-strong duality) can be understood in this approach from the same considerations as described in [1] for electromagnetic duality. A further new result is that all these can be naturally linked to the fact that the holographic principle has analogues at length scales much larger than quantum gravity. There is also the possibility of {\it noncommuting coodinates} residing on the boundaries. PACS: 11.15.-q: 11.10/Ef