Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,082 questions , 2,232 unanswered
5,355 answers , 22,793 comments
1,470 users with positive rep
820 active unimported users
More ...

  Structured and streamlined path to advanced theoretical physics for a mathematician with no physics background.

+ 2 like - 0 dislike
2375 views

I'm a pure mathematician working in Ricci flow, Einstein manifolds, and Yang-Mills, with no physics background.  I'd like to learn advanced theoretical physics such as quantum field theory, string theory, and supersymmetry.  However, the standard books in these areas have very strong physics assumptions on the background of the reader, so they are inaccessible for a pure mathematician with no physics background.

Furthermore, after getting some way through mathematics, one realises that working through the big thick 1,500 page calculus textbooks is unnecessary since they are targeted at engineers.  Instead, one can start with books on set theory, logic and proof, and then go straight to pure mathematics books in analysis, abstract algebra, topology and geometry, etc.  I wonder if it's the same situation with theoretical physics: does one really need to start with working through one of those 1,500 page physics for scientists and engineers textbooks, or is there a better path?

Question:  As a pure mathematician with no physics background, how do I learn the basics through to advanced theoretical physics in a clear, focused, streamlined and structured way? 

Can someone please outline a path of study, with specific book recommendations, to achieve this?

asked Jul 3, 2015 in Resources and References by gds (0 points) [ revision history ]
edited Jul 3, 2015 by gds

1 Answer

+ 4 like - 0 dislike

With your background, the quantum field theory books by Zeidler are the ideal entry point. They assume a thorough knowledge of mathematics but essentially no physics, and introduce material up to research level, with lots of additional references for further reading. From the preface to Volume 1:


I have noticed that many of my colleagues in mathematics complain about the
fact that it is difficult to understand the thinking of physicists and to follow
the pragmatic, but frequently non-rigorous arguments used by physicists. On
the other hand, my colleagues in physics complain about the abstract level
of the modern mathematical literature and the lack of explicitly formulated
connections to physics. This has motivated me to write the present book and
the volumes to follow.


It is my intention to build a bridge between mathematicians and physicists.

He achieves this goal quite well. Three of the six volumes planned are already available. 

answered Jul 4, 2015 by Arnold Neumaier (15,787 points) [ revision history ]
edited Jul 6, 2015 by Arnold Neumaier

This is probably a stupid question but do volumes IV, V, and VI exist?  Are they still being written?

As far as I understand they are in the process of being written. Since the author's point of view is quite different from the usual one, it is a lot of work to compile such a volume. The later volumes are probably more difficult to write, which would explain the time lag.

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
$\varnothing\hbar$ysicsOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...