Statistics and UV-IR Mixing with Twisted Poincare Invariance
A. P. Balachandran, T. R. Govindarajan, G. Mangano, A. Pinzul, B. A., Qureshi, S. Vaidya
TL;DR
This paper explores how twisted Poincare invariance affects quantum statistics and demonstrates that twisting statistics can naturally eliminate UV-IR mixing in certain quantum field theories.
Contribution
It shows that twisted Poincare invariance requires twisted statistics and that this twist naturally removes UV-IR mixing without gauge fields.
Findings
Twisted statistics are necessary for twisted Poincare invariance.
UV-IR mixing is naturally removed in these theories.
The removal occurs in the absence of gauge fields.
Abstract
We elaborate on the role of quantum statistics in twisted Poincare invariant theories. It is shown that, in order to have twisted Poincare group as the symmetry of a quantum theory, statistics must be twisted. It is also confirmed that the removal of UV-IR mixing (in the absence of gauge fields) in such theories is a natural consequence.
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