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Re: good paper on mathematical quant mech

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Posted by Haelfix on October 03, 2003 at 01:01:12:

In Reply to: Re: good paper on mathematical quant mech posted by DickT on October 02, 2003 at 08:30:12:

Ive been taking a lot of math classes recently, as I felt I wasn't sufficiently balanced as a physicist in certain places (notably cohomology).

Quantum field theory interests me a lot, and I've been attending seminars in the math division concerning its rigor.

I typo'd something in the last post. The Wiener measure is classical, in QFT you need the notion of coherent states to make any sense out of things. The problem is there the measure oscillates violently, its not clear at all that the integral is allowed except in certain very particular cases (often positivity .. sometimes being quadratic. etc)

I've been told that quantum lattice theory is much better behaved. The integral is done over all guage connections, ie a configuration space, with the classical YangMills action.

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