The Wilson loop in the Gaussian unitary ensemble
Using the supersymmetric formalism we compute exactly at finite $N$ the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite $N$. We obtain the same result by a second method relying on enumerative combinatorics and show that...
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| Main Author: | |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
July 7, 2021
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| Edition: | Version v2 |
| In: |
Arxiv
Year: 2016, Pages: 1-9 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1604.08856
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| Author Notes: | Razvan Gurau |
| Summary: | Using the supersymmetric formalism we compute exactly at finite $N$ the expectation of the Wilson loop in the Gaussian Unitary Ensemble and derive an exact formula for the spectral density at finite $N$. We obtain the same result by a second method relying on enumerative combinatorics and show that it leads to a novel proof of the Harer-Zagier series formula. |
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| Item Description: | Version 1 vom 29. April 2016, Version 2 vom 24. Mai 2016 Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |