Critical behavior of thePT-symmetriciϕ3quantum field theory
Critical behavior of thePT-symmetriciϕ3quantum field theory
复制标题
PT-对称iψ3量子场论的临界行为
DOI：
--
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Emanuele Messina
中科院分区：
文献类型：
--
作者：
C. Bender;V. Branchina;Emanuele Messina
最近的研究表明，在$6保证数学{-}ϵ$维上的$数学{P}数学{T}$对称的$i{ensureath{Phi}}^{3}$量子场论存在一个非平凡的不动点。研究了该理论在不动点附近的临界行为，证明了相应的相变与间隙方程非平凡解的存在有关。首先在平均场近似下研究了这一理论，并计算了临界指数。然后，用重整化群技术研究了它在平均场近似下的情况，并计算了$6保证数学{-}ϵ$维的临界指数，从而得到了$ϵ$的阶。结果表明，由于它的稳定性，$Mathcal{P}数学{T}$对称$i{Ensureath{Phi}}^{3}$理论比传统的${Ensureath{Phi}}^{3}$理论具有更高的预测能力。给出了$i{Ensureath{Phi}}^{3}$模型与Lee-Yang模型的比较。
It was shown recently that a $mathcal{P}mathcal{T}$-symmetric $i{ensuremath{phi}}^{3}$ quantum field theory in $6ensuremath{-}ϵ$ dimensions possesses a nontrivial fixed point. The critical behavior of this theory around the fixed point is examined and it is shown that the corresponding phase transition is related to the existence of a nontrivial solution of the gap equation. The theory is studied first in the mean-field approximation and the critical exponents are calculated. Then, it is examined beyond the mean-field approximation by using renormalization-group techniques, and the critical exponents for $6ensuremath{-}ϵ$ dimensions are calculated to order $ϵ$. It is shown that because of its stability the $mathcal{P}mathcal{T}$-symmetric $i{ensuremath{phi}}^{3}$ theory has a higher predictive power than the conventional ${ensuremath{phi}}^{3}$ theory. A comparison of the $i{ensuremath{phi}}^{3}$ model with the Lee-Yang model is given.