String Theory & Poincaré Invariance: Why & What?

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Discussion Overview

The discussion revolves around the concept of Poincaré invariance in bosonic string theory, specifically questioning its significance and seeking a deeper understanding of the concept itself. The inquiry includes requests for derivations and references to relevant literature, indicating an interest in both theoretical and conceptual aspects of the topic.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant questions the necessity of Poincaré invariance in bosonic string theory and seeks clarification on what Poincaré invariance entails, inviting derivations.
  • Another participant expresses curiosity about the urgency of the inquiry, suggesting a light-hearted approach to the discussion.
  • Some participants recommend foundational knowledge in special relativity as a prerequisite for understanding string theory, citing specific textbooks such as Peskin & Schroeder and Zwiebach.
  • A later reply confirms that Zwiebach covers both the concept of Poincaré invariance and metrics, suggesting it as a suitable resource for the original poster.

Areas of Agreement / Disagreement

Participants generally agree on the importance of understanding special relativity before delving into string theory, but the discussion remains unresolved regarding the original question about the significance of Poincaré invariance itself.

Contextual Notes

Some participants express varying levels of familiarity with the necessary background knowledge, indicating potential limitations in understanding the topic without prior study in special relativity and quantum field theory.

moriheru
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My question concerns poincare invariance (I have left out the accent) in bosonic string theory. As far as I know, action of a 1-d String is described by poincare invariance. So my question is: why poincare invariance? And here comes the more ambarassing question: What is poincare invariance(deriviations are more than welcome)? I am referring to Polchinskis first volume of two ,named "Introduction to bosonic string theory". The page is given below...Thanks for any help!

img002.jpg
 
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Why is this urgent?
 
Vanadium 50 said:
Why is this urgent?

Don't know just for fun. Thought it might accelerate messages :) .
Thanks for your valueable input.
 
You should first understand special relativity before jumping to ST. See e.g. any book om QFT, like Peskin&Schroeder. Or try Zwiebach.
 
You should first understand special relativity before jumping to ST. See e.g. any book om QFT, like Peskin&Schroeder. Or try Zwiebach.
I have only studied Universitys QM in depth esle I do mathematics. So is poincare invariance part of special relativity does Zwiebach cover metrics?
 
Yes and yes. I think Zwiebach is the book you want :)
 
Thankyou haushofer.
 

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