Line discontinuities, local action with both the field and its dual, and spin from no spin in two-dimensional scalar theory

TL;DR

This paper explores a two-dimensional scalar field theory incorporating both the field and its dual, highlighting line discontinuities, dual charge quantization, and the emergence of spin from scalar fields, with implications for fermionic properties.

Contribution

It introduces a local action with both the scalar field and its dual, emphasizing the role of line discontinuities and demonstrating spin generation from scalar fields.

Findings

Line discontinuities are crucial in the theory.

Spin can emerge from scalar fields without explicit spin.

Quantization of dual charges is established.

Abstract

We consider a local action with both the real scalar field and its dual in two Euclidean dimensions. The role of singular line discontinuities is emphasized. Exotic properties of the correlation of the field with its dual, the generation of spin from scalar fields, and quantization of dual charges are pointed out. Wick's theorem and rotation properties of fermions are recovered for half-integer quantization.