Holographic Description of Chiral Symmetry Breaking in a Magnetic Field in 2+1 Dimensions with an Improved Dilaton

التفاصيل البيبلوغرافية
العنوان:	Holographic Description of Chiral Symmetry Breaking in a Magnetic Field in 2+1 Dimensions with an Improved Dilaton
المؤلفون:	Rodrigues, Diego M., Li, Danning, Capossoli, Eduardo Folco, Boschi-Filho, Henrique
المصدر:	EPL, 128 (2019) 61001
سنة النشر:	2018
المجموعة:	High Energy Physics - Phenomenology High Energy Physics - Theory
مصطلحات موضوعية:	High Energy Physics - Phenomenology, High Energy Physics - Theory
الوصف:	We consider a holographic description of the chiral symmetry breaking in an external magnetic field in $ (2+1) $-dimensional gauge theories from the softwall model using an improved dilaton field profile given by $\Phi(z) = - kz^2 + (k+k_1)z^2\tanh (k_{2}z^2)$. We find inverse magnetic catalysis for $BB_c$, where $B_c$ is the pseudocritical magnetic field. The transition between these two regimes is a crossover and occurs at $B=B_c$, which depends on the fermion mass and temperature. We also find spontaneous chiral symmetry breaking (the chiral condensate $\sigma \not=0$) at $T=0$ in the chiral limit ($m_q\to 0$) and chiral symmetry restoration for finite temperatures. We observe that changing the $k$ parameter of the dilaton profile only affects the overall scales of the system such as $B_c$ and $\sigma$. For instance, by increasing $k$ one sees an increase of $B_c$ and $\sigma$. This suggests that increasing the parameters $k_1$ and $k_2$ will decrease the values of $B_c$ and $\sigma$. Comment: V2: 13 pages, 10 figures. New figure added. Text improved. Typos corrected. New references added. Results unchanged. This version matches the published one in EPL
نوع الوثيقة:	Working Paper
DOI:	10.1209/0295-5075/128/61001
URL الوصول:	http://arxiv.org/abs/1811.04117
رقم الأكسشن:	edsarx.1811.04117
قاعدة البيانات:	arXiv

الوصف
DOI:	10.1209/0295-5075/128/61001