UV/IR mixing in noncommutative SU(N) Yang–Mills theory
Abstract 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 $$\theta $$ θ -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 varian...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09686-5 |
| _version_ | 1818930280590737408 |
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| author | C. P. Martin J. Trampetic J. You |
| author_facet | C. P. Martin J. Trampetic J. You |
| author_sort | C. P. Martin |
| collection | DOAJ |
| description | Abstract 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 $$\theta $$ θ -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. |
| first_indexed | 2024-12-20T03:58:11Z |
| format | Article |
| id | doaj.art-aa09a0f584e94ab3a4ff5aece43bcfb3 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T03:58:11Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-aa09a0f584e94ab3a4ff5aece43bcfb32022-12-21T19:54:15ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-10-01811011810.1140/epjc/s10052-021-09686-5UV/IR mixing in noncommutative SU(N) Yang–Mills theoryC. P. Martin0J. Trampetic1J. You2Departamento de Física Teórica and IPARCOS, Facultad de Ciencias Físicas, Universidad Complutense de Madrid (UCM)Division of Experimental Physics, Ruđer Bošković InstituteDivision of Physical Chemistry, Ruđer Bošković InstituteAbstract 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 $$\theta $$ θ -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.https://doi.org/10.1140/epjc/s10052-021-09686-5 |
| spellingShingle | C. P. Martin J. Trampetic J. You UV/IR mixing in noncommutative SU(N) Yang–Mills theory European Physical Journal C: Particles and Fields |
| title | UV/IR mixing in noncommutative SU(N) Yang–Mills theory |
| title_full | UV/IR mixing in noncommutative SU(N) Yang–Mills theory |
| title_fullStr | UV/IR mixing in noncommutative SU(N) Yang–Mills theory |
| title_full_unstemmed | UV/IR mixing in noncommutative SU(N) Yang–Mills theory |
| title_short | UV/IR mixing in noncommutative SU(N) Yang–Mills theory |
| title_sort | uv ir mixing in noncommutative su n yang mills theory |
| url | https://doi.org/10.1140/epjc/s10052-021-09686-5 |
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