UV/IR mixing in noncommutative SU(N) Yang-Mills theory

被引:7
作者
Martin, C. P. [1 ,2 ]
Trampetic, J. [3 ,4 ]
You, J. [5 ]
机构
[1] Univ Complutense Madrid UCM, Fac Ciencias Fis, Dept Fis Teor, Madrid 28040, Spain
[2] Univ Complutense Madrid UCM, Fac Ciencias Fis, IPARCOS, Madrid 28040, Spain
[3] Rudjer Boskovic Inst, Div Expt Phys, Bijenicka 54, Zagreb 10000, Croatia
[4] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, Fohringer Ring 6, D-80805 Munich, Germany
[5] Rudjer Boskovic Inst, Div Phys Chem, Bijenicka 54, Zagreb 10000, Croatia
来源
EUROPEAN PHYSICAL JOURNAL C | 2021年 / 81卷 / 10期
关键词
BY-LIGHT SCATTERING; DEFORMATION QUANTIZATION; STANDARD MODEL; FIELD-THEORY; EQUIVALENCE; DIVERGENCES; GRAVITY; U(1);
D O I
10.1140/epjc/s10052-021-09686-5
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We show that there are one-loop IR singularities arising from UV/IR mixing in noncommutative SU(N) Yang-Mills theory defined by means of the theta-exact Seiberg-Witten map. This is in spite of the fact that there are no ordinary U(1) gauge fields in the theory and this is at variance with the noncommutative U(N) case, where the two-point part of the effective action involving the ordinary SU(N) fields do not suffer from those one-loop IR singularities.
引用
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页数:18
相关论文
共 70 条
[1]  
Aaboud M, 2017, NAT PHYS, V13, P852, DOI [10.1038/nphys4208, 10.1038/NPHYS4208]
[2]   Observation of Light-by-Light Scattering in Ultraperipheral Pb plus Pb Collisions with the ATLAS Detector [J].
Aad, G. ;
Abbott, B. ;
Abbott, D. C. ;
Abdinov, O. ;
Abud, A. Abed ;
Abeling, K. ;
Abhayasinghe, D. K. ;
Abidi, S. H. ;
AbouZeid, O. S. ;
Abraham, N. L. ;
Abramowicz, H. ;
Abreu, H. ;
Abulaiti, Y. ;
Acharya, B. S. ;
Achkar, B. ;
Adachi, S. ;
Adam, L. ;
Bourdarios, C. Adam ;
Adamczyk, L. ;
Adamek, L. ;
Adelman, J. ;
Adersberger, M. ;
Adiguzel, A. ;
Adorni, S. ;
Adye, T. ;
Affolder, A. A. ;
Afik, Y. ;
Agapopoulou, C. ;
Agaras, M. N. ;
Aggarwal, A. ;
Agheorghiesei, C. ;
Aguilar-Saavedra, J. A. ;
Ahmadov, F. ;
Ahmed, W. S. ;
Ai, X. ;
Aielli, G. ;
Akatsuka, S. ;
Kesson, T. P. A. ;
Akilli, E. ;
Akimov, A., V ;
Al Khoury, K. ;
Alberghi, G. L. ;
Albert, J. ;
Alconada Verzini, M. J. ;
Alderweireldt, S. ;
Aleksa, M. ;
Aleksandrov, I. N. ;
Alexa, C. ;
Alexandre, D. ;
Alexopoulos, T. .
PHYSICAL REVIEW LETTERS, 2019, 123 (05)
[3]  
[Anonymous], ARXIVHEPTH9912167
[4]   Scattering forms and the positive geometry of kinematics, color and the worldsheet [J].
Arkani-Hamed, Nima ;
Bai, Yuntao ;
He, Song ;
Yan, Gongwang .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (05)
[5]  
Armoni A, 2003, J HIGH ENERGY PHYS
[6]   Noncommutative GUTs, Standard Model and C, P, T [J].
Aschieri, P ;
Jurco, B ;
Schupp, P ;
Wess, J .
NUCLEAR PHYSICS B, 2003, 651 (1-2) :45-70
[7]   Exact Seiberg-Witten map, induced gravity and topological invariants in non-commutative field theories [J].
Banerjee, R ;
Yang, HS .
NUCLEAR PHYSICS B, 2005, 708 :434-450
[8]  
Barnich G, 2002, FORTSCHR PHYS, V50, P825, DOI 10.1002/1521-3978(200209)50:8/9<825::AID-PROP825>3.0.CO
[9]  
2-V
[10]  
Barnich G, 2002, J HIGH ENERGY PHYS