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Today (17 March) we got our first news of a Path Integral formulation of LQC.
Adam Henderson is a PhD student in Ashtekar's group at Penn State.
He gave an internationally distributed seminar talk on his research.
http://relativity.phys.lsu.edu/ilqgs/henderson031709.pdf
http://relativity.phys.lsu.edu/ilqgs/henderson031709.wav
Up till now LQC has always followed the canonical approach.
By contrast the full LQG theory has developed both a canonical and a covariant (spin foam) formulation. So Henderson's work can be seen as an attempt to extend the program in the applied area of cosmology, following the general theory's lead.
So far Loop Cosmology has not been mathematically derived from LQG. It has been constructed by carrying over and using ideas from LQG, but they remain two parallel fields. Bridging and merging LQC with LQG is high on the research agenda now. Henderson's talk reveals similarities or points of contact with the spin foam path integral version of the full theory, so it fits into this effort.
Adam Henderson is a PhD student in Ashtekar's group at Penn State.
He gave an internationally distributed seminar talk on his research.
http://relativity.phys.lsu.edu/ilqgs/henderson031709.pdf
http://relativity.phys.lsu.edu/ilqgs/henderson031709.wav
Up till now LQC has always followed the canonical approach.
By contrast the full LQG theory has developed both a canonical and a covariant (spin foam) formulation. So Henderson's work can be seen as an attempt to extend the program in the applied area of cosmology, following the general theory's lead.
So far Loop Cosmology has not been mathematically derived from LQG. It has been constructed by carrying over and using ideas from LQG, but they remain two parallel fields. Bridging and merging LQC with LQG is high on the research agenda now. Henderson's talk reveals similarities or points of contact with the spin foam path integral version of the full theory, so it fits into this effort.
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