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Physical Review Letters

Difficulties with a Local Quantum Field Theory of Possible Violation of the Pauli Principle

Oscar Wallace Greenberg, Rabindra Nath Mohapatra

Published Feb 13, 1989• 56 citations
Publisher

Abstract

We point out difficulties with our proposed local quantum field theory of small violations of the Pauli principle and give a qualitative rationale for the surprising rigidity of the exclusion principle.
DOI
10.1103/physrevlett.62.712

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The Pauli exclusion principle (PEP) and, more generally, the spin-statistics connection, is at the very basis of our understanding of matter and Nature. The PEP spurs, presently, a lively debate on its possible limits, deeply rooted in the very foundations of Quantum Mechanics and Quantum Field Theory. Therefore, it is extremely important to test the limits of its validity. Quon theory provides a suitable mathematical framework of possible small violation of PEP, where the q violation parameter translates into a probability of violating PEP. Experimentally, setting a bound on PEP violation means confining the q-parameter to a value very close to either 1 (for bosons) or −1 (for fermions). The VIP (VIolation of the Pauli exclusion principle) experiment established a limit on the probability that PEP is violated by electrons, using the very clean method of searching for PEP forbidden atomic transitions in copper. We describe the experimental method, the obtained results, both in terms of the q-parameter and as probability of PEP violation, we briefly discuss the results and present plans to go beyond the actual limit by upgrading the experimental technique using vetoed new spectroscopical fast Silicon Drift Detectors. We discuss as well the possibility of using a similar experimental technique to search for X-rays generated as a signature of the spontaneous collapse of the wave function, predicted by continous spontaneous localization type theories.