The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus
| Autor: | Antonio González-Arroyo, Masanori Okawa, Mateusz Koren, Margarita García Pérez |
|---|---|
| Přispěvatelé: | UAM. Departamento de Física Teórica |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
One-dimensional space torus 1/N expansion gauge field theory: SU(N) Electric flux boundary condition: twist 01 natural sciences stability [tachyon] dimension: 2 Mathematical physics lattice Physics Field Theories in Lower Dimensions High Energy Physics - Lattice (hep-lat) Wilson ’t Hooft and Polyakov loops Magnetic flux electric field torelon flux: electric 2 [dimension] gauge field theory: Yang-Mills flux: magnetic space-time: dimension: 3 Nuclear and High Energy Physics Yang-Mills [gauge field theory] electric [flux] FOS: Physical sciences 1/N Expansion Yang–Mills theory nonperturbative field theory: noncommutative noncommutative [field theory] High Energy Physics - Lattice 0103 physical sciences ddc:530 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Boundary value problem 010306 general physics SU(N) Lattice Quantum Field Theory 010308 nuclear & particles physics Glueball Física tachyon: stability Torus dimension: 3 [space-time] SU(N) [gauge field theory] twist [boundary condition] glueball High Energy Physics - Theory (hep-th) magnetic [flux] string lcsh:QC770-798 expansion 1/N |
| Zdroj: | Journal of High Energy Physics, Vol 2018, Iss 7, Pp 1-56 (2018) Journal of high energy physics 1807(07), 169 (2018). doi:10.1007/JHEP07(2018)169 Biblos-e Archivo. Repositorio Institucional de la UAM instname Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.1807.03481 |
| Popis: | Journal of high energy physics 1807(07), 169 (2018). doi:10.1007/JHEP07(2018)169 We compute and analyse the low-lying spectrum of 2+1 dimensional SU(N) Yang-Mills theory on a spatial torus of size l × l with twisted boundary conditions. This paper extends our previous work [1]. In that paper we studied the sector with non-vanishing electric flux and concluded that the energies only depend on the parameters through two combinations: x = λN l/(4π) (with λ the ’t Hooft coupling) and the twist angle $ \tilde{\theta} $ defined in terms of the magnetic flux piercing the two-dimensional box. Here we made a more complete study and we are able to condense our results, obtained by non-perturbative lattice methods, into a simple expression which has important implications for the absence of tachyonic instabilities, volume independence and non-commutative field theory. Then we extend our study to the sector of vanishing electric flux. We conclude that the onset of the would-be large-volume glueball states occurs at an approximately fixed value of x, much before the stringy torelon states have become very massive. Published by Springer, Berlin |
| Databáze: | OpenAIRE |
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