论文标题
$χ$ SB的一致性在手性阳道理论中具有绝热的连续性
Consistency of $χ$SB in chiral Yang-Mills theory with adiabatic continuity
论文作者
论文摘要
我们研究$ψχη$模型中的手性对称性破坏（$χ$ sb）（手性费米子扇区包含$ψ^{\ {ij \}} $，$χ_ {[ij} $} s^{1} _ {l} $，并导致对$ \ mathbb {r}^4 $ Physics的影响。中心对称的真空通过双轨变形稳定。随着中心对称性保持在小$ l（s^1）\llλ^{ - 1} $，即处于弱耦合时，预计不会将相位转换为大$ l（s^1）\ggλ^{ - 1} $（在这里$λ$是动态的yang-mills scale）。从小型$ l $ limit开始，我们在给定理论中找到了领先的非扰动校正。 Instanton-Monopole操作员诱导伴随性手性冷凝物$ \langleψ^{\ {\ {ij \}}χ_ {[JK]} \ rangle \ rangle \ neq 0 $ at弱耦合，即在$ l（s^1）\ llλ^{-1} $。然后，绝热连续性告诉我们，$ \langleψ^{\ {ij \}}χ_ {[JK]} \ rangle \ neq 0 $在$ \ mathbb {r}^4 $上存在，完全与预测[2]。同时与$ \langleψ^{\ {ij \}}χ_ {[[JK]} \ rangle \simλ^3δ^i_k $ su（$ n_c $）符号符号被强烈折断至其最大值的Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Aubelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian Abelian。
We study the pattern of chiral symmetry breaking ($χ$SB) in the $ψχη$ model (with the chiral fermion sector containing $ ψ^{\{ij\}}$, $χ_{[ij]}$, and $η_{i}^{A}$, see [1]) on $\mathbb{R}^3 \times S^{1}_{L}$ and derive implications to $\mathbb{R}^4$ physics. Center-symmetric vacua are stabilized by a double-trace deformation. With the center symmetry maintained at small $L(S^1)\ll Λ^{-1}$, i.e. at weak coupling, no phase transitions are expected in passing to large $L(S^1)\gg Λ^{-1}$ (here $Λ$ is the dynamical Yang-Mills scale). Starting with the small $L$-limit, we find the leading-order nonperturbative corrections in the given theory. The instanton-monopole operators induce the adjoint chiral condensate $\langle ψ^{\{ij\}}χ_{[jk]}\rangle \neq 0$ at weak coupling i.e. at $L(S^1)\ll Λ^{-1}$. Then adiabatic continuity tells us that $\langle ψ^{\{ij\}}χ_{[jk]}\rangle \neq 0$ exists on $\mathbb{R}^4$, in full accord with the prediction [2]. Simultaneously with $\langle ψ^{\{ij\}}χ_{[jk]}\rangle \sim Λ^3δ^i_k$ the SU($N_c$) gauge symmetry is spontaneously broken at strong coupling down to its maximal Abelian subgroup.
