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High Energy, Nuclear, Particle Physics
Confusion with finite temperature and lattice formulation
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[QUOTE="diegzumillo, post: 6039145, member: 61654"] All hail King Vitamin! The amount of effort you put in explaining this makes me ashamed of the amount of effort I put in my first post. Seriously though, thanks, I really appreciate it. So the thing that confuses me is that I'm used to seeing statistical mechanics as the macroscopic behavior of some fundamental theory, but it seems the connection we are making here between the statistical mechanics (classical/quantum) and QFT (ground state/finite temperature) is almost purely mathematical, with thermodynamic quantities gaining new interpretations. It's not the first time I realize my confusion stems from my underdeveloped statistical mechanics, so some of these things sound like they should be old news to me. For example, things got a little confusing at the finite temperature part, where you considered [itex]t = - i \beta[/itex]. Sure, this goes back to what I said before about the relation being mathematical, but the intuitive notion of temperature still seems to be somewhat preserved there, as that time scale (periodic, disregarding UV effects etc) suggests an energy scale, kind of like the usual interpretation temperature. So... not purely mathematical then? Also, maybe this is another connection between coupling constant and temperature? Am I misinterpreting anything? Honestly I feel a lot less confused! [/QUOTE]
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High Energy, Nuclear, Particle Physics
Confusion with finite temperature and lattice formulation
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