Quantum censorship in two dimensions

TL;DR

This paper explores how quantum effects in the two-dimensional sine-Gordon model can lead to a phenomenon called Quantum Censorship, where loop contributions accumulate to produce semiclassical behavior, especially under attractive interactions.

Contribution

It introduces the concept of Quantum Censorship in the sine-Gordon model, linking it to degeneracy and semiclassical effects during renormalization.

Findings

Quantum Censorship conjectured to occur in 2D sine-Gordon model.

Loop contributions pile up, producing semiclassical effects.

Degeneracy of the renormalized action linked to attractive interactions.

Abstract

It is pointed out that increasingly attractive interactions, represented by partially concave local potential in the Lagrangian, may lead to the degeneracy of the blocked, renormalized action at the gliding cutoff scale by tree-level renormalization. A quantum counterpart of this mechanism is presented in the two-dimensional sine-Gordon model. The presence of Quantum Censorship is conjectured which makes the loop contributions pile up during the renormalization and thereby realize an approximate semiclassical effect.