Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM
Abstract We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the N=4 $$ \mathcal{N}=4 $$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the ’t Hooft coupling of order N 2. In the matrix model computation of Wilson loop expectation...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2017)125 |
| _version_ | 1811302897619566592 |
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| author | Kazumi Okuyama |
| author_facet | Kazumi Okuyama |
| author_sort | Kazumi Okuyama |
| collection | DOAJ |
| description | Abstract We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the N=4 $$ \mathcal{N}=4 $$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the ’t Hooft coupling of order N 2. In the matrix model computation of Wilson loop expectation values, this phase transition corresponds to the transition between the one-cut phase and the two-cut phase. It turns out that the one-cut phase is smoothly connected to the small ’t Hooft coupling regime and the 1/N corrections of Wilson loops in this phase can be systematically computed from the topological recursion in the Gaussian matrix model. |
| first_indexed | 2024-04-13T07:37:14Z |
| format | Article |
| id | doaj.art-9db4eeb3ad3048009974881d04bd49a9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T07:37:14Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9db4eeb3ad3048009974881d04bd49a92022-12-22T02:56:04ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171212410.1007/JHEP12(2017)125Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYMKazumi Okuyama0Department of Physics, Shinshu UniversityAbstract We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the N=4 $$ \mathcal{N}=4 $$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the ’t Hooft coupling of order N 2. In the matrix model computation of Wilson loop expectation values, this phase transition corresponds to the transition between the one-cut phase and the two-cut phase. It turns out that the one-cut phase is smoothly connected to the small ’t Hooft coupling regime and the 1/N corrections of Wilson loops in this phase can be systematically computed from the topological recursion in the Gaussian matrix model.http://link.springer.com/article/10.1007/JHEP12(2017)125AdS-CFT CorrespondenceWilson,’t Hooft and Polyakov loops1/N ExpansionMatrix Models |
| spellingShingle | Kazumi Okuyama Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM Journal of High Energy Physics AdS-CFT Correspondence Wilson,’t Hooft and Polyakov loops 1/N Expansion Matrix Models |
| title | Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_full | Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_fullStr | Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_full_unstemmed | Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_short | Phase transition of anti-symmetric Wilson loops in N=4 $$ \mathcal{N}=4 $$ SYM |
| title_sort | phase transition of anti symmetric wilson loops in n 4 mathcal n 4 sym |
| topic | AdS-CFT Correspondence Wilson,’t Hooft and Polyakov loops 1/N Expansion Matrix Models |
| url | http://link.springer.com/article/10.1007/JHEP12(2017)125 |
| work_keys_str_mv | AT kazumiokuyama phasetransitionofantisymmetricwilsonloopsinn4mathcaln4sym |