Timeline for Integral of product of Schur functions
Current License: CC BY-SA 4.0
11 events
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| Nov 29, 2018 at 16:01 | history | bounty ended | CommunityBot | ||
| Nov 22, 2018 at 21:41 | comment | added | Carlo Beenakker | @lcv --- no, I have never seen a formula with all the Kronecker delta's explicitly printed out for more than 4 unitaries; such calculations quickly get tedious; there exists a Mathematica package | |
| Nov 22, 2018 at 19:24 | comment | added | Marcel | @lcv that is what I called "Weingarten calculus". You can search for "Weingarten functions". For 8 U's, four of them being conjugated, you get a sum over all 24 elements of the permutation group $S_4$. | |
| Nov 22, 2018 at 19:04 | comment | added | lcv | @Carlo Beenakker do you have a reference for an analogous formula with 8 $U$’s? (Written in such a simple way) | |
| Nov 22, 2018 at 17:55 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Nov 22, 2018 at 17:46 | comment | added | Carlo Beenakker | I added the identity that I applied to the integral over the product of traces. | |
| Nov 22, 2018 at 17:45 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Nov 22, 2018 at 17:22 | comment | added | Marcel | Did you write the trace in terms of matrix elements and then used Weingarten calculus? | |
| Nov 22, 2018 at 17:15 | comment | added | Marcel | Interesting. Might I ask about the method? | |
| Nov 22, 2018 at 12:08 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Nov 22, 2018 at 11:31 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |