The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus
Entity
UAM. Departamento de Física TeóricaPublisher
Springer VerlagDate
2018-07-01Citation
10.1007/JHEP07(2018)169
Journal of High Energy Physics 2018.7 (2018): 169
ISSN
1126-6708DOI
10.1007/JHEP07(2018)169Funded by
A. G-A also wants to thank the Salvador de Madariaga program (Ref. PRX17/00504) of the Spanish Ministry of Education for funding his stay at Rutgers University where the last stages of this work were completed. Special thanks go also to Herbert Neuberger for many discussions. M.G.P. and A.G-A acknowledge financial support from the MINECO/FEDER grant FPA2015-68541-P and the MINECO Centro de Excelencia Severo Ochoa Programs SEV-2012-0249 and SEV2016-0597. M. O. is supported by the Japanese MEXT grant No 17K05417 and the MEXT program for promoting the enhancement of research universitiesProject
Gobierno de España. FPA2015-68541-P; Gobierno de España. SEV-2012-0249; Gobierno de España. SEV-2016-0597Editor's Version
https://doi.org/10.1007/JHEP07(2018)169Subjects
1/N Expansion; Field Theories in Lower Dimensions; Lattice Quantum Field Theory; Wilson, ’t Hooft and Polyakov loops; FísicaRights
© 2018, The Author(s)Abstract
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 θ˜ 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
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Google Scholar:García Pérez, Margarita
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González-Arroyo España, Antonio
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Koren, Mateusz
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Okawa, Masanori
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