Local Quantum Field Theory of Possible Violation of the Pauli Principle

The VIP Experiment

“…As we have seen in the introduction, it is possible to incorporate a violation of the Symmetrization Principle in the usual formalism of Quantum Mechanics: this is not without consequences, a set of single-particle measurements is no longer maximal, and must be supplemented by correlation measurements for a full characterization of the quantum state of the system [2,17]; however this is still tolerable, as long as it does not conflict with the obvious experimental observation that any violation must necessarily be small [12]. Unfortunately it is not straightforward to model the violations dynamically: here we limit our discussion to a few basic facts, and refer the reader to the review papers [2,5,9,12,18] for fuller accounts.…”

“…Unfortunately it is not straightforward to model the violations dynamically: here we limit our discussion to a few basic facts, and refer the reader to the review papers [2,5,9,12,18] for fuller accounts. In 1987 Ignatiev and Kuzmin cooked up a simple model with three occupation levels [19], and with a modified algebra of the creation and annihilation operators, and have introduced the violation parameter β that is used also in the analysis of the Ramberg and Snow experiment.…”

“…Later on, following a suggestion of M. Goldhaber, F. Reines and H. W. Sobel remarked that the same experimental data could be used to set a limit to a conjectured Pauli-violating interaction [11]. Still later, George Snow suggested a modification of the test that used electrons from a current source, rather than beta rays from radioactive decays (the reference to the original suggestion can be found in a paper by Greenberg and Mohapatra [12]). George Snow carried out the experiment with Erik Ramberg (RS), with an apparatus installed on the ground floor of the Muon Building at Fermilab [13] which is schematically shown in figure 1 (see ref.…”

Theories of violation of statistics

“…We suspected that a field theory generalization of this model having an infinite number of oscillators would not have local observables and set about trying to prove this. To our surprize, we found that we could construct local observables and gave trilinear relations which guarantee the locality of the current [13] …”

Proposed search for small violations of bose statistics in molecular spectra

“…The possibility of quantum-mechanical systems following statistics different from Bose and Fermi statistics has been proposed in several areas of physics [1][2][3][4][5][6][7][8][9][10][11][12][13]. Although experimental evidence allows to exclude gross differences with respect to Bose and Fermi statistics, theories have been developed allowing also for small deviations from conventional statistics, which might have been masked in the experiments performed so far.…”