What Are the Best Books for Learning Path and Functional Integration?

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For those seeking resources on learning path integration and functional integration, it is suggested that while good quantum field theory (QFT) books can provide a solid foundation, they often gloss over complex issues, such as infinities in the integration measure. For a more mathematically rigorous understanding, exploring articles on ArXiv is recommended, particularly by searching for "path integral" in the Mathematics category. Notable references include research focused on making the real-time Feynman path integral mathematically rigorous, which could offer valuable insights into the topic.
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Can anyone suggest any good books on learning path integration? Maybe even just functional integration? I understand that there may be good introductions in QFT books, but are there any good mathematical approaches to these concepts contained in other books? Please tell me if just reading good QFT books will suffice. Thanks.
 
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If you just want to use them, reading some good QFT books will serve you just fine. However, even in the best of QFT books, usually a lot of things are swept under the carpet (most notably: some possible infinities in the integration measure).
If you want a mathematically rigorous treatment, I cannot really help you, except to refer you to the ArXiv (www.arxiv.org[/url]). If you use the search form and search for "path integral" in the title and check only the Mathematics box, you might find some interesting articles. For example, in [url=http://arxiv.org/abs/math-ph/0012017v1]math-ph/0012017[/URL] I find
[quote]
Since Feynman’s invention of the path integral, much research
have been done to make the real time Feynman path integral mathematically rigorous (see [6], [9], [10], [13],[18], [19], and [20]).
[/quote]
So you might check out those references, for starters.
 
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