Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux
Abstract We study the phase structure of bifundamental quantum chromodynamics (QCD(BF)), which is the 4-dimensional SU(N) × SU(N) gauge theory coupled with the bifundamental fermion. Firstly, we refine constraints on its phase diagram from ’t Hooft anomalies and global inconsistencies, and we find m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)146 |
| _version_ | 1797341436223422464 |
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| author | Yui Hayashi Yuya Tanizaki Hiromasa Watanabe |
| author_facet | Yui Hayashi Yuya Tanizaki Hiromasa Watanabe |
| author_sort | Yui Hayashi |
| collection | DOAJ |
| description | Abstract We study the phase structure of bifundamental quantum chromodynamics (QCD(BF)), which is the 4-dimensional SU(N) × SU(N) gauge theory coupled with the bifundamental fermion. Firstly, we refine constraints on its phase diagram from ’t Hooft anomalies and global inconsistencies, and we find more severe constraints than those in previous literature about QCD(BF). Secondly, we employ the recently-proposed semiclassical approach for confining vacua to investigate this model concretely, and this is made possible via anomaly-preserving T 2 compactification. For sufficiently small T 2 with the ’t Hooft flux, the dilute gas approximation of center vortices gives reliable semiclassical computations, and we determine the phase diagram as a function of the fermion mass m, two strong scales Λ1, Λ2, and two vacuum angles, θ 1, θ 2. In particular, we find that the QCD(BF) vacuum respects the ℤ2 exchange symmetry of two gauge groups. Under the assumption of the adiabatic continuity, our result successfully explains one of the conjectured phase diagrams in the previous literature and also gives positive support for the nonperturbative validity of the large-N orbifold equivalence between QCD(BF) and N $$ \mathcal{N} $$ = 1 SU(2N) supersymmetric Yang-Mills theory. We also comment on problems of domain walls. |
| first_indexed | 2024-03-08T10:18:01Z |
| format | Article |
| id | doaj.art-b447e296d20f40a4ad841d2cf3592c70 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:18:01Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b447e296d20f40a4ad841d2cf3592c702024-01-28T12:09:26ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231013310.1007/JHEP10(2023)146Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft fluxYui Hayashi0Yuya Tanizaki1Hiromasa Watanabe2Yukawa Institute for Theoretical Physics, Kyoto UniversityYukawa Institute for Theoretical Physics, Kyoto UniversityYukawa Institute for Theoretical Physics, Kyoto UniversityAbstract We study the phase structure of bifundamental quantum chromodynamics (QCD(BF)), which is the 4-dimensional SU(N) × SU(N) gauge theory coupled with the bifundamental fermion. Firstly, we refine constraints on its phase diagram from ’t Hooft anomalies and global inconsistencies, and we find more severe constraints than those in previous literature about QCD(BF). Secondly, we employ the recently-proposed semiclassical approach for confining vacua to investigate this model concretely, and this is made possible via anomaly-preserving T 2 compactification. For sufficiently small T 2 with the ’t Hooft flux, the dilute gas approximation of center vortices gives reliable semiclassical computations, and we determine the phase diagram as a function of the fermion mass m, two strong scales Λ1, Λ2, and two vacuum angles, θ 1, θ 2. In particular, we find that the QCD(BF) vacuum respects the ℤ2 exchange symmetry of two gauge groups. Under the assumption of the adiabatic continuity, our result successfully explains one of the conjectured phase diagrams in the previous literature and also gives positive support for the nonperturbative validity of the large-N orbifold equivalence between QCD(BF) and N $$ \mathcal{N} $$ = 1 SU(2N) supersymmetric Yang-Mills theory. We also comment on problems of domain walls.https://doi.org/10.1007/JHEP10(2023)146Anomalies in Field and String TheoriesConfinementNonperturbative Effects |
| spellingShingle | Yui Hayashi Yuya Tanizaki Hiromasa Watanabe Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux Journal of High Energy Physics Anomalies in Field and String Theories Confinement Nonperturbative Effects |
| title | Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux |
| title_full | Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux |
| title_fullStr | Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux |
| title_full_unstemmed | Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux |
| title_short | Semiclassical analysis of the bifundamental QCD on ℝ2 × T2 with ’t Hooft flux |
| title_sort | semiclassical analysis of the bifundamental qcd on r2 t2 with t hooft flux |
| topic | Anomalies in Field and String Theories Confinement Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP10(2023)146 |
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