Looking for a textbook introduction to integrals of the following form

AI Thread Summary
The discussion centers on seeking a textbook that covers integrals related to path integrals in physics, particularly those involving actions and Lagrangians. The integral in question is expressed as S = ∫ dx^4 Ω e^(i ∫ ℒ dt), where S represents an action to be minimized, Ω is an integrable function across a four-dimensional volume, and ℒ is the Lagrangian. Key points of interest include understanding the significance of the Lagrangian being in the exponent and examples of minimizing S. A reference to Zee's "QFT in a Nutshell" is made, though it is noted that the book is challenging. The discussion clarifies that the action is not the entire expression but specifically the integral in the exponent.
Prez Cannady
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Summary:: Pretty sure they have something to do with path integrals, or what not. But obviously it's hard to *search* for this stuff.

Basically, I'm looking for a textbook, any textbook--physics, mathematics, etc.--that deals with integrals that look something like this (mistakes are mine):

S = \int dx^4 \Omega \, e^{i \int \mathcal{L} dt}

Where S is an action to be minimized, \Sigma is just something integrable across the 4-volume and \mathcal{L} is a Lagrangian. Ideally, looking for something that:

1. explains why the Lagrangian is in the exponent of e like that and what it signifies, and
2. works an example of minimizing S.

Basically, just want to know where to start.
 
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Sweet. I have Zee.
 
Okay, so first of all it seems the action is *not* the expression, but just the integral in the exponent of e. That's good to know.
 
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