What Is the Variation of the Action?

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The discussion focuses on understanding the variation of the action in the context of Poincare invariant actions. The basic formula for the action is given as dS = L dt, but the user seeks clarification on the formula for the variation of the action. Key insights include the necessity to specify variables for variations, as well as the importance of defining a configuration space and conditions for varying a path. Several online resources were recommended, including links to quantum physics and covariant field theory materials.

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  • Understanding of Poincare invariant actions
  • Familiarity with the basic principles of classical mechanics
  • Knowledge of configuration spaces in physics
  • Basic grasp of variational principles in physics
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alfredblase
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I don't have access to textbooks. The internet at present is pretty much my only source of information. I tried looking on the net but couldn't find anything pertaining to my questions.

Ok so I have the expression for a Poincare invariant action. Then I have to find the variation of the action.

What does the variation of the action mean? What is the basic formula for it, i.e the formula for the action was dS = L dt. What is the basic formula for the variation of the action? :cry:

I tried looking on the net but couldn't find anything pertaining to my questions. I appreciate greatly what was given in my other thread on the same subject but I should have mentioned I was looking for the basics.

Thankyou very much.
 
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You have to specify the variables with which you wish to do the variations.
(More specifically, you need to specify a configuration space and conditions upon which you vary a path.)

Here's something to start you off
http://www.eftaylor.com/quantum.html
http://en.wikipedia.org/wiki/Action_(physics)
http://mitpress.mit.edu/SICM/book-Z-H-12.html#%_sec_Temp_74

Here's a resource that works out the Maxwell field http://www.plasma.uu.se/CED/Book/ (in "Covariant Field Theory")
http://www.lorentz.leidenuniv.nl/vanbaal/FTcourse.html
http://xxx.lanl.gov/abs/hep-th/9912205 (probably more than you want)
 
Last edited by a moderator:
Dear robphy,

thank you =) some of the sorces you pointed out were exactly what I was looking for. Further it seems you have given me some very useful sources of online information for physics problems. Much appreciated.
 
Last edited:

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