论文标题
Cardy的猜想和红外强耦合量子场理论的光谱
Cardy's Conjecture and the Spectrum of Infrared Strongly-Coupled Quantum Field Theories
论文作者
论文摘要
Cardy关于重新归一化组（RG）流量下痕量异常的演变的猜想被重新解释为关于该理论拉格朗日术语中术语缩放维度的确切，非扰动的陈述。当以这种方式观察时，猜想意味着在红外线（IR）中强烈耦合的场理论可能通常是托管状态，而这些状态并未表现为紫外线（UV）完整理论运动方程的解决方案。特别是，汉密尔顿运算符的缩放维度可能会偏离IR中的$ \ MATHCAL {O}（1）$校正的经典价值，从而避免了Derrick关于此类状态\ Cite {1}的不存在的旧论点。我们表明，该框架提供了一种自然的方式来使用扰动理论估算这些状态的质量，并提出了对IR中自由度的首选重组。
Cardy's conjecture about the evolution of the trace anomaly under renormalization group (RG) flows is re-interpreted as an exact, non-perturbative statement about the scaling dimension of terms in the Lagrangian of the theory. When viewed in this way, the conjecture implies that field theories which are strongly coupled in the infrared (IR) may generically host states that are not manifest as solutions to the ultraviolet (UV) complete theory's equations of motion. In particular, the scaling dimension of operators in the Hamiltonian may deviate from their classical values by $\mathcal{O}(1)$ corrections in the IR, circumventing an old argument by Derrick about the non-existence of such states\cite{1}. We show that this framework provides a natural way to estimate the masses of these states using perturbation theory, and suggests a preferred reorganization of the degrees of freedom in the IR.
