Cosmological Constant Problem: Pre-Req Knowledge for Paper

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Discussion Overview

The discussion revolves around the prerequisites necessary to understand a specific paper in quantum cosmology, focusing on the cosmological constant problem. Participants explore the required background knowledge in general relativity (GR) and quantum field theory (QFT) to engage with the paper effectively.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses difficulty in understanding the paper, suggesting it is heavily reliant on GR and other advanced concepts.
  • Another participant agrees that a background in GR is essential, specifically mentioning the Einstein Field Equation, stress-energy tensor, isometries, Killing vector fields, and the ADM formalism as necessary knowledge.
  • A third participant asserts that the professor misjudged the prerequisites, emphasizing that GR is indeed required to comprehend the paper.
  • Another participant suggests addressing the professor for additional resources or guidance, noting the challenges posed by the length restrictions of the journal.
  • One participant posits that the professor may not mean to imply that no GR is needed, but rather that the focus is on scalar field theory from QFT, assuming some prior knowledge of GR.

Areas of Agreement / Disagreement

Participants generally agree that a background in GR is necessary to understand the paper, but there is disagreement regarding the extent of QFT knowledge required and the professor's intentions regarding the prerequisites.

Contextual Notes

Participants mention various sources for learning GR concepts, indicating that familiarity with certain topics may vary depending on the educational background of individuals.

Junaid456
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My professor wants to give me (and another kid) a problem in quantum cosmology. To that end, he asked me to read through his recent paper that appeared in the Physical Review Letters. He said that I should be able to go through it since all the paper employs is (quantum) scalar field theory, which you have been doing as part of your studying QFT in the summer.

I, however, upon looking at the paper am clearly stmped as I can't make a word out of it. To me, it seems heavy on GR and a lot of other stuff I haven't done.

Please let me know what do you think is the average amount of pre-requsite knowldge to go through the paper. I think my professor seemed to have rushed into giving me this paper:

ArXiv link: http://arxiv.org/pdf/1508.07664v2.pdf

PRL link: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061302

Thanks!
 
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Junaid456 said:
To me, it seems heavy on GR

It does look to me like background in GR would be needed to follow this paper. Specifically, you would need to at least have some exposure to the Einstein Field Equation, the physical meaning of the stress-energy tensor, the meaning of isometries and Killing vector fields, and the ADM formalism. Any GR course or textbook will cover the first three (in fact Sean Carroll's online lecture notes, which are free, cover them). The last item might not be covered in all sources; it's covered in MTW, but MTW is very comprehensive. (I can't remember offhand how much it is covered in Wald.)
 
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Well, my two cents: I think your professor had a wrong judgement. You definitely need GR to understand that paper.
 
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Well, I'd address the professor again and ask him about sources, from where to learn the needed background. The length restriction of PRL doesn't make these papers easy to follow for the non-expert anyway (although it's most probably very interesting and high-quality research given that it's published in PRL). So I'd ask for additional background material and/or help with questions.
 
I don't think he means that no GR is needed. He is only talking about the prerequisites from QFT. You need only scalar field theory and nothing more complicated from QFT. The GR is probably understood, or he assumes that you know some say you've taken a course.
 

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