Advanced mathematics in theoretical physics

[PaulDirac]

Hi everyone,

Please refer me to a very advanced mathematical physics reference that has applications in theoretical particle physics. I have seen the book Howard Georgi in Lie Algebras in particle physics but want more advanced ones. Any ideas would be very appreciated.Paul

 

[dextercioby]

Theoretical physics is a vast subject. More precisely, what are you looking for ?

 

[bhobba]

I am with Dextercioby on this.

But if you want something challenging I think Varadarajan - Geometry of Quantum Theory would likely fit the bill:
https://www.amazon.com/dp/0387493859/?tag=pfamazon01-20

I have a copy and it stretches me.

Thanks
Bill

 

[Demystifier]

For a very wide panorama of mathematical physics in quantum field theory see the 3 books by Zeidler
https://www.amazon.com/dp/3540347623/?tag=pfamazon01-20
https://www.amazon.com/dp/3540853766/?tag=pfamazon01-20
https://www.amazon.com/dp/3642224202/?tag=pfamazon01-20
each having more than 1000 pages.

An even wider scope is given in the 5-volume mathematical physics encyclopedia
https://www.amazon.com/dp/0125126603/?tag=pfamazon01-20

If these are too big or two expensive for you, then somewhat shorter (but still quite advanced with a wide scope) are

Prakash
https://www.amazon.com/dp/1860943659/?tag=pfamazon01-20

Emch
https://www.amazon.com/dp/0444557946/?tag=pfamazon01-20

and the 2 books by Thirring
https://www.amazon.com/dp/0387406158/?tag=pfamazon01-20
https://www.amazon.com/dp/3540430784/?tag=pfamazon01-20

All those are quite general books, but if you want something more specific (e.g. a more advanced text on Lie algebras in particle physics), then you should specify.