A question from Weinberg's qft book

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Discussion Overview

The discussion centers around the induction of quantum field theory (QFT) from quantum mechanics and relativity, as presented in Weinberg's book. Participants explore the conceptual foundations of QFT, its differences from quantum mechanics, and the challenges of understanding these concepts through various texts.

Discussion Character

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

Main Points Raised

  • One participant expresses difficulty in understanding how to induce QFT from quantum mechanics and relativity, referencing Weinberg's book.
  • Another participant requests more specificity in the question, suggesting that the original poster clarify their understanding and background in quantum mechanics and relativity.
  • A participant indicates a preference for Zee's book over Weinberg's for introductory QFT, noting that other texts often present calculations without sufficient conceptual grounding.
  • It is proposed that QFT serves as a theoretical model for describing interactions in many-particle systems, highlighting the distinction between constant particle numbers in quantum mechanics and variable particle numbers in QFT.
  • One participant claims that QFT can be derived by applying canonical quantization to classical fields, suggesting a straightforward approach.
  • A recommendation is made for Dirac's Lectures on Quantum Mechanics, specifically pointing to a lecture on quantization as a helpful resource.

Areas of Agreement / Disagreement

Participants express differing views on the best resources for learning QFT, with some favoring Weinberg's approach while others prefer Zee's. There is no consensus on the clarity of Weinberg's presentation or the nature of QFT as merely a tool.

Contextual Notes

Participants note that many texts may not adequately explain the conceptual underpinnings of QFT, leading to confusion. There are also varying levels of familiarity with quantum mechanics and relativity among participants, which may affect their understanding of the material.

Who May Find This Useful

This discussion may be useful for students of theoretical physics, particularly those grappling with the foundational concepts of quantum field theory and seeking guidance on appropriate learning resources.

bugl0ver
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can anybody tell me how to induce the quantum field theory
as long as you admit the quantum mechanics and the reletivity?
it seems that in Weinberg's book ,he shows that,but i can not
quite understand:confused:
thank you :biggrin:
 
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Ok, we really cannot help you if you state your question like this. You need to be a whole lot more specific. What exactly do you want to know ? What concept are you not gettin' ? Please give some reference to a formula, approach, a "name", ... Also tell us something about your situation : are you a college student ?, undergrad ?, How's your QM and special relativity knowledge ?

regards
marlon

ps : i urge you not to use Weinberg's book to study intro QFT. Have you considered Zee's book (QFT in a Nutshell) ? Are you doing this in college ?
 
re

i am a student learning theoretical physics.and i have read some chapters
of Zee's book.and i think i can follow his idea rather than Weinberg:-p
What i mean is that in many books such like Peskin's just tell us how to
calculate,and it induce the qft so abruptly.
So i think Wein's book will helpful.Maybe my question looks ugly and i think i get my answer myself now.
but what i want to know now is that is qft just a tool in some sence?
thank you:biggrin:
 
QFT is the theoretical model to describe the interactions of many particle systems, caracterized by the fact that the total number of particles does not need to be a constant. This actually is what the "second quantisation" is all about. Particles can be created and annihilated. The biggest difference between QM and QFT is

1) in QM, the total number of particles is constant
2) In QFT, the fundamental property are the FIELDS while in QM they are the wavefunctions.

There are several quantum field theories like QED (describes the EM interaction), QCD (describes the strong force), etc etc


marlon

edit : check out this thread for further clarification
 
You can get QFT by simply applying canonical quantization to classical fields. There's nothing more to it.

Daniel.
 
Hi,

I recommend Dirac's Lectures on Quantum Mechanics. It is about 5 bucks and is well worth it. The 2nd lecture is "The Problem of Quantization".
 

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