论文标题
QED的批判行为$ _3 $ - 任意规格中的Gross-Neveu-Yukawa理论
Critical behavior of QED$_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge
论文作者
论文摘要
手性Qed $ _3 $ - GROSS-NEVEU-YUKAWA（QED $ _3 $ -GNY）理论是$ 2+1 $ -Dimemiential U（1）量表理论，带有$ N_F $ n_f $的四组分dirac fermions的口味，并与标scal级结合。对于$ n_f = 1 $，最近已将特定的手性iSing Qed $ _3 $ -GNY型号猜想是对脱成根的量子临界点是双重的，该量子临界点描述了Neel-Varence-Bond-Solid-Solid在Square Lattice上沮丧的量子磁铁的固体过渡。我们研究了手性Qed $ _3 $ -GNY型号的通用关键行为，$ d = 4-ε$ dimensions to nutary $ n_f $。我们计算玻色子异常尺寸，反相关长度指数以及手性Qed $ _3 $ -GNY模型中非字母fermion双线性的缩放尺寸。指数的PAD $ \急性{e} $估计分别是在手性的，XY-和Heisenberg-Qed $ _3 $ -GNY通用类中获得的。我们还为Ungaig Qed $ _3 $ -GNY型号建立了超对称关键的一般条件。对于手性Qed $ _3 $ -GNY的关键点和去构成量子关键点之间的二元性，我们发现逆相关长度指数具有下边界$ν^{ - 1}> 0.75 $，除此之外，Ising-Qed $ _3 $ _3 $ -GNY -GNY-$ $ $ \ $ \ $ \ \ \ \ \ \ MATHBB {c} $ p $ p $ p $ po $ po^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1 $^1美元
The chiral QED$_3$--Gross-Neveu-Yukawa (QED$_3$-GNY) theory is a $2+1$-dimensional U(1) gauge theory with $N_f$ flavors of four-component Dirac fermions coupled to a scalar field. For $N_f=1$, the specific chiral Ising QED$_3$-GNY model has recently been conjectured to be dual to the deconfined quantum critical point that describes Neel--valence-bond-solid transition of frustrated quantum magnets on square lattice. We study the universal critical behaviors of the chiral QED$_3$-GNY model in $d=4-ε$ dimensions for an arbitrary $N_f$ . We calculate the boson anomalous dimensions, inverse correlation length exponent, as well as the scaling dimensions of nonsinglet fermion bilinear in the chiral QED$_3$-GNY model. The Pad$\acute{e}$ estimates for the exponents are obtained in the chiral Ising-, XY- and Heisenberg-QED$_3$-GNY universality class respectively. We also establish the general condition of the supersymmetric criticality for the ungauged QED$_3$-GNY model. For the conjectured duality between chiral QED$_3$-GNY critical point and deconfined quantum critical point, we find the inverse correlation length exponent has a lower boundary $ν^{-1}>0.75$, beyond which the Ising-QED$_3$-GNY--$\mathbb{C}$P$^1$ duality may hold.
