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Hi everyone,</div>
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Wayne reached out to me with further elaboration on some of the questions that were asked during his seminar yesterday. I'm forwarding his email to the mailing list.</div>
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Kind regards,</div>
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Adam</div>
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<b>From:</b> Polyzou, Wayne N <polyzou@uiowa.edu><br>
<b>Sent:</b> Monday, September 15, 2025 3:19 PM<br>
<b>To:</b> Adam Freese <afreese@jlab.org><br>
<b>Subject:</b> [EXTERNAL] Thanks for the invitation</div>
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<p style="margin-top: 1em; margin-bottom: 1em;">Dear Adam:<br>
<br>
Thanks again for the invitation.<br>
<br>
Wayne<br>
<br>
Comments on miscellaneous questions that came up if anyone is interested:<br>
<br>
1) For breakdown of locality in quantum gravity<br>
<br>
See E. T. Tomboulis: JEHP 06(2021)77; arXiv:2104.04098v2 [hep-th]<br>
<br>
2) Green's functions can be exactly expanded in this basis; the exact<br>
expansion will be causal, so causality should be recovered in the infinite<br>
volume fine resolution limit.<br>
<br>
The computational method needed to expand the Green's function is in:<br>
Fatih Bulut and W. N. Polyzou, Wavelet Methods in the Relativistic<br>
Three-Body Problem, Phys. Rev. C73,e024003(2006),<br>
nucl-th/0507051<br>
<br>
3) The book Quantum Mechanics, Symbolism of Atomic Measurements has a<br>
beautiful description of a discrete version of the Weyl commutation<br>
relations. His decomposition of general finite systems into factors<br>
with prime numbers of degrees of freedom has a connection with quantum<br>
computing - specifically P=2 gives an irreducible set of qubit gates.<br>
<br>
I cover the transition to qubits in the reference: W. N. Polyzou, Path<br>
integrals and the discrete Weyl representation, J. Phys. A:<br>
Math. Theor. 57 (2024) 275201 (44pp), arxiv:2108.12494.<br>
<br>
4) The light front case I discuss a representation where rotations about the z axis are treated continuously in W. N. Polyzou, Wavelet representation of light-front quantum field theory, Phys. Rev. D 101,064001(2020), arxiv:abs/2002.02311.<br>
<br>
Wayne</p>
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