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首页> 外文期刊>The journal of high energy physics >Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge- q multi-flavor Schwinger model
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Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge- q multi-flavor Schwinger model

机译：分数<重点型=“斜体”>θ角度，'t Hooft异常和充电中的量子算子 - <重点类型=“斜体”> Q 多风味舒威格模型

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A bstract This work examines non-perturbative dynamics of a 2-dimensional QFT by using discrete ’t Hooft anomaly, semi-classics with circle compactification and bosonization. We focus on charge- q N -flavor Schwinger model, and also Wess-Zumino-Witten model. We first apply the recent developments of discrete ’t Hooft anomaly matching to theories on ?_(2)and its compactification to ?×? S ~( L )_(1) . We then compare the ’t Hooft anomaly with dynamics of the models by explicitly constructing eigenstates and calculating physical quantities on the cylinder spacetime with periodic and flavor-twisted boundary conditions. We find different boundary conditions realize different anomalies. Especially under the twisted boundary conditions, there are Nq vacua associated with discrete chiral symmetry breaking. Chiral condensates for this case have fractional θ dependence e_(i θ / Nq ), which provides the Nq -branch structure with soft fermion mass. We show that these behaviors at a small circumference cannot be explained by usual instantons but should be understood by “quantum” instantons, which saturate the BPS bound between classical action and quantum-induced effective potential. The effects of the quantum-instantons match the exact results obtained via bosonization within the region of applicability of semi-classics. We also argue that large- N limit of the Schwinger model with twisted boundary conditions satisfy volume independence.
机译：Bstract本作品通过使用离散的THOFT异常，半经典与圆形压缩化和挥索化来检查二维QFT的非扰动动态。我们专注于充电 - Q N -Flavor Schwinger模型，以及Wess-Zumino-Witten模型。我们首先将离散的“T Hooft异常的最新进展”应用于“原理”？_（2）及其对α×？ s〜（l）_（1）。然后，我们通过明确构建特征栓塞并用周期性和风味扭曲的边界条件来计算模型和计算气缸时空的物理量来比较“T Hooft异常。我们发现不同的边界条件实现不同的异常。特别是在扭曲的边界条件下，存在与离散的手性对称性断裂相关的NQ Vacua。这种情况下的手性凝结物具有分数θ依赖性E_（Iθ/ nq），其提供具有柔软的FERMION质量的NQ -BRANCH结构。我们表明，小圆周的这些行为不能通过通常的瞬间解释，但应该通过“量子”液体，其使经典作用和量子诱导的有效潜力之间的BPS饱和。量子 - 即时的效果与半经典的适用区域内通过阳离子化获得的确切结果。我们还争辩说，具有扭曲边界条件的Schwinger模型的大量限制满足体积独立性。

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