Gelfert, Axel (2005) Mathematical Rigor in Physics: Putting Exact Results in Their Place. In: UNSPECIFIED. (In Press)
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Abstract
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 transitions in low-dimensional systems. While the theorem has been shown to hold for a wide range of many-body models, it is frequently ‘violated’ by results derived from the same models using numerical techniques. This raises the question of how scientists regulate their theoretical commitments in such cases, given that the models, too, are often described as approximations to the underlying ‘full’ many-body problem.
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Item Type: | Conference or Workshop Item (UNSPECIFIED) | ||||||
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Additional Information: | This is the final version as it will appear in Philosophy of Science (Proceedings, PSA 2004). | ||||||
Keywords: | rigorous results, mathematical rigor, condensed matter physics, phase transitions, many-body physics, statistical physics, models | ||||||
Subjects: | General Issues > Models and Idealization Specific Sciences > Physics |
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Depositing User: | Axel Gelfert | ||||||
Date Deposited: | 16 Jan 2005 | ||||||
Last Modified: | 07 Oct 2010 15:13 | ||||||
Item ID: | 2160 | ||||||
Public Domain: | No | ||||||
Conference Date: | 18-20 November 2004 | ||||||
Conference Location: | Austin, Texas | ||||||
Subjects: | General Issues > Models and Idealization Specific Sciences > Physics |
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Date: | 2005 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/2160 |
Available Versions of this Item
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Mathematical rigor in physics: Being realistic about exact results. (deposited 02 Feb 2005)
- Mathematical Rigor in Physics: Putting Exact Results in Their Place. (deposited 16 Jan 2005) [Currently Displayed]
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