8 problems

Lifshitz-point conjecture. The triple point is a Lifshitz point, that is, a multicritical point at which a disordered, a homogeneous (uniform) ordered, and a spatially modulated (n…

The theory is formulated on the phase space $\mathbb{R}^{2n}$, with Euclidean metric $G$ and a regulated generating functional whose duality invariance has been established perturb…

Plane-wave/cylindrical-harmonic correlation-function conjecture. The correlation functions in the two bases are related by

Let $\mathbb{R}^3_\theta=\bigoplus_{j\in\frac{\mathbb{N}}{2}}\mathbb{M}_{2j+1}(\mathbb{C})$ be the noncommutative space considered in the paper, and let the two noncommutative fiel…

The present noncommutative field theory (NCFT) is the theory defined by the actions in the source, with the Peter–Weyl decomposition providing a natural cutoff for its algebra. All…

The simulations evolve a system among vacuum states characterized by the field configurations $\langle\Phi\rangle\sim {\bf 1}$, $\gamma$, and $\gamma_k$, with $T_{\rm S}$ denoting…

Consider noncommutative phi-four theory at the self-dual point with two noncommuting directions, treated using the Wilson approximate renormalization-group recursion formula and th…

Higher-order coefficient conjecture. Within the scheme of the recursion formula, this coefficient is the same coefficient appearing in higher-order corrections of the function…