Some Problems Concerning Interchange of Order of Integration in Functional Integral Formalism of U(1) Gauge Field Theories

We show that in the functional integral formalism of U(1) gauge field theory some formal manipulation such as interchange of order of integration can yield erroneous results. The example studied is analysed by Fubini theorem.Comment: 3 pages, revte

(E)-Methyl N′-(4-bromo­benzyl­idene)­hydrazinecarboxyl­ate at 123 K

The title compound, C9H9BrN2O2, crystallizes with two independent but essentially identical mol­ecules in the asymmetric unit. Each mol­ecule adopts a trans configuration with respect to the C=N bond. In one of the mol­ecules, the dihedral angle between the benzene ring and the hydrazinecarboxylic acid plane is 24.9 (2)°, and that in the other mol­ecule is 16.1 (2)°. The mol­ecules are linked into a three-dimensional network via inter­molecular N—H⋯O, C—H⋯O, C—H⋯N and C—H⋯Br hydrogen bonds. An intramolecular N—H⋯O hydrogen bond is also present

The masses and axial currents of the doubly charmed baryons

The chiral dynamics of the doubly heavy baryons is solely governed by the light quark. In this work, We have derived the chiral corrections to the mass of the doubly heavy baryons up to N$^3$LO. The mass splitting of $\Xi_{cc}$ and $\Omega_{cc}$ at the N$^2$LO depends on one unknown low energy constant $c_7$. With the experimental mass of $\Xi_{cc}(3520)$ as the input, we estimate the mass of $\Omega_{cc}$ to be around 3.678 GeV. Moreover, we have also performed a systematical analysis of the chiral corrections to the axial currents and axial charges of the doubly heavy baryons. The chiral structure and analytical expressions will be very useful to the chiral extrapolations of the future lattice QCD simulations of the doubly heavy baryons.Comment: 10 pages, 2 tables, 3 figure. Accepted by Phys. Rev.