Details
| Original language | English |
|---|---|
| Pages (from-to) | 322-326 |
| Number of pages | 5 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 781 |
| Early online date | 9 Apr 2018 |
| Publication status | Published - 10 Jun 2018 |
Abstract
We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 781, 10.06.2018, p. 322-326.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Non-Abelian sigma models from Yang–Mills theory compactified on a circle
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding information: We thank Aleksey Cherman and Mohamed Anber for comments. This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 . It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). We thank Aleksey Cherman and Mohamed Anber for comments. This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13. It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/6/10
Y1 - 2018/6/10
N2 - We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group.
AB - We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group.
UR - http://www.scopus.com/inward/record.url?scp=85045257336&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1803.07322
DO - 10.48550/arXiv.1803.07322
M3 - Article
AN - SCOPUS:85045257336
VL - 781
SP - 322
EP - 326
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -