Perturbative study of the one-dimensional quantum clock model

We calculate the ground state energy density $\epsilon(g)$ for the one dimensional N-state quantum clock model up to order 18, where $g$ is the coupling and $N=3,4,5,...,10,20$. Using methods based on Pad\'e approximation, we extract the singular structure of $\epsilon''(g)$ or $\epsilon(g)$. They correspond to the specific heat and free energy of the classical 2D clock model\cite{Suzu}. We find that, for $N=3,4$, there is a single critical point at $g_c=1$.The heat capacity exponent of the corresponding 2D classical model is $\alpha=0.34\pm0.01$ for $N=3$, and $\alpha=-0.01\pm 0.01$ for $N=4$. For $N>4$, There are two exponential singularities related by $g_{c1}=1/g_{c2}$, and $\epsilon(g)$ behaves as $Ae^{-\frac{c}{|g_c-g|^{\sigma}}}+analytic\ terms$ near $g_c$. The exponent $\sigma$ gradually grows from $0.2$ to $0.5$ as N increases from 5 to 9. These findings partially agree with those in\cite{Elit}, and these models are thus generalizations of Kosterlitz-Thouless transition, which has $\sigma=0.5

Skin Toxicity Associated With Clofarabine And Cytarabine For The Treatment Of Acute Leukemia

Skin toxicity is associated with a number of different chemotherapeutic agents used to treat acute leukemias, including cytarabine, daunorubicin, doxorubicin, and methotrexate. While alopecia and radiation recall are well-recognized cutaneous side effects, more recently the term toxic erythema of chemotherapy (TEC) has been coined to describe a spectrum of skin findings, ranging from palmar-plantar erythrodysesthesia to erythema of major body folds, with erythroderma representing its most severe form. In this retrospective study of 49 patients with acute leukemia, 10 patients were treated with clofarabine alone (40 mg/m2 daily for 5 days) and 40 patients received this dose of clofarabine plus cytarabine (1 g/m2 daily for 5 days); one patient received each of the two regimens with an interval of 6 weeks between administrations. Treatment-associated skin toxicity, including TEC, developed 3 to 9 days following the initiation of chemotherapy and was more common in the group receiving the two-drug combination as compared to those receiving clofarabine alone (22/40 [55%] versus 1/10 [10%] respectively; p=0.014). The majority of chemotherapy-related cutaneous side effects represented TEC. Clinicians should be aware of the potential for additive or synergistic skin toxicity in the setting of the combination of clofarabine and cytarabine

Lattice BF Theory, Dumbbells, and Composite Fermions

We formulate $U(1)$ $bda$ Chern-Simons theory, which is also called BF theory, on a lattice, adapting a method proposed by Kantor and Susskind for the groups $\mathbb{R}$ and $\mathbb{Z}_N$. Our method applies to any finite or infinite abelian group. We study the discrete symmetries and use the model to provide a rigorous treatment of the composite fermion theory of the fractional quantum Hall effect (FQHE), with no ambiguities relating to intersecting Wilson/'t Hooft lines. We derive Jain's fractions, and one can also calculate corrections to the mean field solution within this framework. We also generalize the formalism to higher form gauge models in arbitrary dimension, and suggest a possible non-Abelian extension

Flexibly serving a finite number of heterogeneous jobs in a tandem system

Ministry of Education, Singapore under its Academic Research Funding Tier