Quantum Field Theory for Orthofermions and Orthobosons

TL;DR

This paper develops quantum field theories for particles obeying orthofermion and orthobose statistics, which have more restrictive exclusion principles and unique symmetry properties in their wavefunctions.

Contribution

It introduces the first comprehensive quantum field theory framework for orthofermions and orthobosons, including both non-relativistic and relativistic cases with interactions.

Findings

Constructed quantum field theories for orthofermions and orthobosons.

Analyzed both non-relativistic and relativistic cases.

Explored interaction effects in these new quantum statistics.

Abstract

Orthofermi statistics is characterized by an exclusion principle which is more ``exclusive'' than Pauli's exclusion principle: an orbital state shall not contain more than one particle, no matter what the spin direction is. The wavefunction is antisymmetric in spatial indices alone with arbitrary symmetry in the spin indices. Orthobose statistics is corresponding Bose analog: the wavefunction is symmetric in spatial indices, with arbitrary symmetry in spin indices. We construct the quantum field theory of particles obeying these new kinds of quantum statistics. Non-relativistic as well as relativistic quantum field theories with interactions are considered.