Twisted Poincar\'e Symmetry and Some Implications on Noncommutative Quantum Field Theory

TL;DR

This paper reviews twisted Poincaré symmetry and explores its implications for noncommutative quantum field theory, including effects on spin-statistics, nonlocality, and potential symmetry principles for noncommutative space-time.

Contribution

It introduces the concept of twisted Poincaré symmetry and discusses its implications for quantum field theories on noncommutative space-time, proposing a possible symmetry principle.

Findings

Twisted Poincaré symmetry affects the spin-statistics relation.

Nonlocality in noncommutative QFT is analyzed through this symmetry.

Potential for a twisted symmetry principle in noncommutative gauge theories.

Abstract

The concept of twisted Poincar\'e symmetry, as well as some implications, are reviewed. The spin-statistics relation and the nonlocality of NC QFT are discussed in the light of this quantum symmetry. The possibility of a twisted symmetry principle for quantum field and gauge theories formulated on a noncommutative space-time is also explored.