- #1

Gvido_Anselmi

- 31

- 6

Hi everybody!

I'm very interested in the methods of complex analysis in theoretical physics. By these methods I mean such things (tools) as (for example) analytical properties of scattering amplitudes (or S-matrix) in QFT, regge calculus in QCD, analytical continuations of Einstein's equations in GR etc.

I'm working through the books: 1) Eden, Landshoff, Olive, Polkinghorne "The analytic S-matrix";

2) Chew "The analytic S-matrix";

3) Hepp-Epstein's book on Wightmann&LSZ and scattering amplitudes in QFT;

4) Collinz "An introduction to regge theory and high-energy physics";

5) Frederick Pham's books on Landau singularities.

6) ... and some literature on dispersion relations and current algebra;

They are interesting textbooks, but sometimes it seems to me that they (may be) quite well-fashioned and I just study too old things.

So my question is: are there any newer reviews, advanced textbooks or interesting papers on such methods or relates topics in QFT? What's about applications in classical and quantum gravity? I'm interested in all modern developments of these methods (including with quite sophisticated maths as differential topology etc) and probably will defend Bachelor's degree in this field.

Thanks in advance and sorry for my halting English!

I'm very interested in the methods of complex analysis in theoretical physics. By these methods I mean such things (tools) as (for example) analytical properties of scattering amplitudes (or S-matrix) in QFT, regge calculus in QCD, analytical continuations of Einstein's equations in GR etc.

I'm working through the books: 1) Eden, Landshoff, Olive, Polkinghorne "The analytic S-matrix";

2) Chew "The analytic S-matrix";

3) Hepp-Epstein's book on Wightmann&LSZ and scattering amplitudes in QFT;

4) Collinz "An introduction to regge theory and high-energy physics";

5) Frederick Pham's books on Landau singularities.

6) ... and some literature on dispersion relations and current algebra;

They are interesting textbooks, but sometimes it seems to me that they (may be) quite well-fashioned and I just study too old things.

So my question is: are there any newer reviews, advanced textbooks or interesting papers on such methods or relates topics in QFT? What's about applications in classical and quantum gravity? I'm interested in all modern developments of these methods (including with quite sophisticated maths as differential topology etc) and probably will defend Bachelor's degree in this field.

Thanks in advance and sorry for my halting English!

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