تقرير
Auxiliary fields approach to shift-symmetric theories: the $\varphi^4$ derivative theory and the crumpled-to-flat transition of membranes at two-loop order
| العنوان: | Auxiliary fields approach to shift-symmetric theories: the $\varphi^4$ derivative theory and the crumpled-to-flat transition of membranes at two-loop order |
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| المؤلفون: | Delzescaux, L., Duclut, C., Mouhanna, D., Tissier, M. |
| المصدر: | Phys. Rev. D 108, L081702 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics |
| الوصف: | We introduce a technique relying on the use of auxiliary fields in order to eliminate explicit field-derivatives that plague the high orders renormalization group treatment of shift-symmetric, derivative, theories. This technique simplifies drastically the computation of fluctuations in such theories. This is illustrated by deriving the two-loop renormalization group equations and the three-loop anomalous dimension of the $\varphi^4$ derivative theory in $D=4-\epsilon$, which is also relevant to describe the crumpled-to-flat transition of polymerized membranes. Some features of this transition are provided. Comment: 7 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.108.L081702 |
| URL الوصول: | http://arxiv.org/abs/2307.00600 |
| رقم الأكسشن: | edsarx.2307.00600 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.108.L081702 |
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