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Mathematical Rigor in Physics: Putting Exact Results in Their Place
rigorous results mathematical rigor condensed matter physics
2008/4/15
The present paper examines the role of exact results in the theory of many-body physics, and specifically the example of the Mermin-Wagner theorem, a rigorous result concerning the absence of phase tr...
Many arguments found in the physics literature involve concepts that are not well-defined by the usual standards of mathematics. I argue that physicists are entitled to employ such concepts without ri...