Conformal theories with an infrared cutoff
Conformal theories with an infrared cutoff
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具有红外截止的共形理论
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
T. Yoshie
中科院分区：
文献类型：
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作者：
K. Ishikawa;Y. Iwasaki;Y. Nakayama;T. Yoshie
当味数N_f在共形窗口内时，我们给出了SU（N）规范理论中实现的共形理论动力学的新观点。受有限IR截止Λ_IR的共形理论的重整化群论点的启发，我们推测在大t处，格子上的介子GH（t）传播子表现为幂律修正的Yukawa型衰变形式G_（H）（t）=c ~^~_（H）exp（-m^~_（H）t）/t^（αH），而不是指数衰变形式c_（H）exp（-mHt），在小夸克质量区域，其中m_H≤cΛ_IR：m_H是通道H中基态强子的质量，c是一个一阶常数。“共形区”和“限制区”之间的过渡是一级过渡。我们的数值结果验证了SU（3）规范理论在N_f=7和N_f=16情况下的基本表象预言。
We give a new perspective on the dynamics of conformal theories realized in the SU(N) gauge theory, when the number of flavors N_f is within the conformal window. Motivated by the renormalization group argument on conformal theories with a finite IR cutoff Λ_IR, we conjecture that the propagator of a meson GH(t) on a lattice behaves at large t as a power-law corrected Yukawa-type decaying form G_(H)(t)=c˜^~_(H)exp(-m^~_(H)t)/t^(αH) instead of the exponentially decaying form c_(H)exp(-mHt), in the small quark mass region where m_H≤cΛ_IR: m_H is the mass of the ground state hadron in the channel H and c is a constant of order 1. The transition between the “conformal region” and the “confining region” is a first order transition. Our numerical results verify the predictions for the N_f=7 case and the N_f=16 case in the SU(3) gauge theory with the fundamental representation.