Asymptotic freedom and higher derivative gauge theories

التفاصيل البيبلوغرافية
العنوان: Asymptotic freedom and higher derivative gauge theories
المؤلفون: Asorey, M., Falceto, F., Rachwal, L.
المصدر: JHEP 05 (2021) 075
سنة النشر: 2020
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology
الوصف: The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymptotic freedom imposes very stringent constraints that are only satisfied by a small family of higher derivative theories. If the number of derivatives is large enough ($n > 4$) the theory is strongly interacting both at extreme infrared and ultraviolet regimes whereas it remains asymptotically free for a low number of extra derivatives ($n \leqslant 4$). In all cases the theory improves its ultraviolet behavior leading in some cases to ultraviolet finite theories with vanishing $\beta$-function. The usual consistency problems associated to the presence of extra ghosts in higher derivative theories may not harm asymptotically free theories because in that case the effective masses of such ghosts are running to infinity in the ultraviolet limit.
Comment: 7 pages, 1 figure. Matches published version
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP05(2021)075
URL الوصول: http://arxiv.org/abs/2012.15693
رقم الأكسشن: edsarx.2012.15693
قاعدة البيانات: arXiv