Miguel C. Alvarez is a PhD student of John Baez at UC Riverside(adsbygoogle = window.adsbygoogle || []).push({});

he posted his thesis today. congratulations!

(both to the student and teacher)

http://arxiv.org/abs/math-ph/0412032

"Loop Quantization versus Fock Quantization of p-Form Electromagnetism on Static Spacetimes"

Here's the abstract:

"As a warmup for studying dynamics and gravitons in loop quantum gravity, Varadarajan showed that Wilson loops give operators on the Fock space for electromagnetism in Minkowski spacetime - but only after regularizing the loops by smearing them with a Gaussian. Unregularized Wilson loops are too singular to give densely defined operators. Here we present a rigorous treatment of unsmeared Wilson loops for vacuum electromagnetism on an arbitrary globally hyperbolic static spacetime. Our Wilson loops are not operators, but "quasioperators": sesquilinear forms on the dense subspace of Fock space spanned by coherent states corresponding to smooth classical solutions..."

this research can be seen as illustrating the difficulty LQG has in reproducing results in a static flat vacuum---Minkowski spacetime----which are almost taken for granted in that more conventional context. Several people are currently working on this and making gradual progress.

I cannot judge the thesis itself, but by outward appearances Miguel did not pick an easy problem but, instead, chose an important gnarly issue to tackle for this thesis.

Miguel has written some for Wikipedia. PF may have already been reading his encyclopedia articles with or without knowing of the author. he also does fencing---which I think is arivero's sport as well

Thanks to selfAdjoint for pointing out an error in the link as I first typed it. I have corrected it and it seems to be right now.

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# Miguel C. Alvarez thesis posted today (Baez student)

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