Recommended Textbooks for Quantum Field Theory and Antiparticles

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Discussion Overview

The discussion centers around recommendations for graduate-level textbooks on quantum field theory (QFT) and the specific topic of antiparticles. Participants share their experiences and preferences regarding various texts, exploring the depth and rigor of available resources.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about good graduate-level textbooks on QFT and specifically on antiparticles, expressing difficulty in finding comprehensive resources on the latter.
  • Another participant recommends Ryder, Bailin-Love, Schwartz, and Weinberg for QFT, noting that there is no fully rigorous treatment of QFT in realistic theories.
  • A participant clarifies their interest in texts that are technically rigorous and delve into the mathematics of antiparticles, rather than just providing an overview.
  • Some participants suggest that local microcausal relativistic QFT inherently involves both particles and antiparticles, questioning the need for a specific focus on antiparticles.
  • One participant points to additional notes by Schwartz as a shorter resource related to QFT.

Areas of Agreement / Disagreement

Participants express differing views on the availability and necessity of textbooks specifically focused on antiparticles. While some agree on the recommended texts for QFT, there is no consensus on the existence of a rigorous, dedicated resource for antiparticles.

Contextual Notes

Participants acknowledge the limitations in the rigor of QFT treatments, particularly in realistic scenarios, and the challenge of finding comprehensive resources on antiparticles.

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Hello All,

I was wondering if anybody could recommend some really good, graduate-level textbooks or sources on quantum field theory and antiparticles. I've browsed through several QFT titles, but if anyone has any books they think would be a good grad-level introduction I'd be grateful.

I'm also hoping to find a textbook devoted to anti-particles, but that has been a lot harder to find. At most I've only found a chapter or half a chapter here or there on the subject. Does anyone know of any books that deal with this topic in a rigorous fashion?

Thanks~
 
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I'd start with Ryder or Bailin-Love. More recently there's also the great book by Schwartz. For all the details after having a first introduction the best is Weinberg, Quantum Theory of Fields (3 vols.).

I don't know, what you mean by "rigorous". There's no fully rigorous treatment of QFT (at least not for realistic theories in 1+3 space-time dimensions). For a somewhat more rigorous treatment of perturbative QED, see Scharff, Finite Quantum Electrodynamics.
 
vanhees71 said:
I'd start with Ryder or Bailin-Love. More recently there's also the great book by Schwartz. For all the details after having a first introduction the best is Weinberg, Quantum Theory of Fields (3 vols.).

I don't know, what you mean by "rigorous". There's no fully rigorous treatment of QFT (at least not for realistic theories in 1+3 space-time dimensions). For a somewhat more rigorous treatment of perturbative QED, see Scharff, Finite Quantum Electrodynamics.

Thank you! Just to be clear, you're talking about 'Intro to Gauge Field Theory' and 'Quantum Field Theory and the Standard Model' right? Those sound like just what I was looking for.

What I meant was that I'm looking for something that's written for a technical or scientific audience. I've come across a lot of things that describe anti-particles in a quantitative way, or sort of give a general overview without delving into the minute details and mathematics. The work that I have managed to find that goes into detail mathematically has been limited to portions of chapters in larger books about particle physics, or something similar. I was hoping that there is a book out there that focuses on anti-particles specifically, but if one exists I haven't been able to find it.
 
I think you should start with Schwartz. What do you mean by "specific focus on anti-particles"? As you'll learn soon, local microcausal relativistic QFT forces you to introduce particles and anti-particles. You can also manage to make special constraints on the fields such that a particle is its own anti-particle (like the photon).
 
vanhees71 said:
I think you should start with Schwartz. What do you mean by "specific focus on anti-particles"? As you'll learn soon, local microcausal relativistic QFT forces you to introduce particles and anti-particles. You can also manage to make special constraints on the fields such that a particle is its own anti-particle (like the photon).

Another set of notes by Schwartz, which are like a short version of his book is http://isites.harvard.edu/fs/docs/icb.topic521209.files/QFT-Schwartz.pdf.
 

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