A proposal for the path-integral of pure-spin-connection formulation of gravity is described, based on the two-form formulation of Capovilla et. al. It is shown that the resulting effective-action for the spin-connection, upon functional integration of the two-form field Σ and the auxiliary matrix field ψ is non-polynomial, even for the case of vanishing cosmological constant and absence of any...

The low energy dynamics of the anti-ferromagnetic Heisenberg spin S chain in the semiclassical limit S → ∞ is known to map onto the O(3) nonlinear σ model with a θ term in 1+1 dimension. Guided by the underlying dual symmetry of the spin chain, as well as the recently established topological significance of “dangling edge spins,” we report an exact mapping onto the O(3) model that avoids the co...

We derive a confining qq̄ Bethe–Salpeter equation starting from the same assumptions on the Wilson loop integral already adopted in the derivation of a semirelativistic heavy quark potential. We show that, by standard approximations, an effective meson squared mass operator can be obtained from our BS kernel and that, from this, by 1 m 2 expansion, the corresponding Wilson loop potential is reco...

We study a class of algebras associated with linear spaces and its relations with polymatroids and integral posets, i.e. posets supporting homogeneous ASL. We prove that the base ring of a transversal polymatroid is Koszul and describe a new class of integral posets. As a corollary we obtain that every Veronese subring of a polynomial ring is an ASL.

We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic mass-less particles interacting with localized fermionic impurities. We consider forward scattering processes described by symmetric potentials including interactions between charge, current, spin and spin-current densities. In the general (spin-flipping) problem we ...

The rotational mobility of the mitochondrial ADP/ATP carrier has been studied solubilized in Triton micelles, reincorporated in phospholipid liposomes, and in mitochondria. Spin-labeled analogues of the noncovalent inhibitors carboxyatractyloside and atractyloside were found to be strongly immobilized when bound to the carrier [Munding, A., Beyer, K., & Klingenberg, M. (1983) Biochemistry 22, 1...

We present an integral formula for a special correlation function of the isotropic spin-1/2 antiferromagnetic Heisenberg chain. The correlation function describes the probability for the occurrence of a string of consecutive up-spins as a function of temperature, magnetic field and length of the string.

We consider a multiple integral representation for a one-parameter generating function of the finite temperature Sz-Sz correlation functions of the antiferromagnetic spin-1/2 XXZ chain in the XX limit and in the Ising limit. We show how in these limits the multiple integrals reduce to single integrals, thereby reproducing known results. PACS: 05.30.-d, 75.10.Pq †e-mail: [email protected]...

We performed an Eu and Eu NMR study of EuO and Gd doped EuO using a home-made spectrometer designed to measure signals with fast spin-spin relaxation times. We determined and described the broadening mechanisms giving rise to the structure in the lineshape of pure EuO. The complete description of the lineshape of pure EuO allowed us to highlight the influence of doping EuO with Gd impurities on...

We construct the path integral formula in terms of “multi-periodic” coherent state as an extension of the Nielsen-Rohrlich formula for spin. We make an exact calculation of the formula and show that, when a parameter corresponding to the magnitude of spin becomes large, the leading order term of the expansion coincides with the exact result. We also give an explicit correspondence between the t...