Electrostatic self-energy and Bekenstein entropy bound in the massive Schwinger model

We obtain the electrostatic energy of two opposite charges near the horizon of stationary black holes in the massive Schwinger model. Besides the confining aspects of the model, we discuss the Bekenstein entropy upper bound of a charged object using the generalized second law. We show that despite the massless case, in the massive Schwinger model the entropy of the black hole and consequently the Bekenstein bound are altered by the vacuum polarization.     

Exactly solvable models through the generalized empty interval method,for multi-species interactions

Multi-species reaction-diffusion systems, with nearest-neighbor interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for E _n(t)'s, the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time t. The constraints are solved for the single-species left-right-symmetric systems. Also, examples of multi-species system for which the evolution equations of E _n(t)'s are closed, are given. Received 25 September 2002 / Received in final form 3 December 2002 Published online 14 February 2003 RID="a" ID="a"e-mail: mamwad@iasbs.ac.ir     

Phase transitions of large-N two-dimensional Yang–Mills and generalized Yang–Mills theories in the double scaling limit

The large-N behavior of Yang–Mills and generalized Yang–Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function of N. It is shown that phase transitions of different orders occur, depending on the functional dependence of the area on N. The finite-size scalings of the system are also investigated. Specifically, the dependence of the dominant representation on A, for large but finite N is determined.     

Greens functions of 2-dimensional Yang-Mills theories on nonorientable surfaces

By using the path integral method, we calculate the Green functions of the field strength of Yang-Mills theories on arbitrary nonorientable surfaces in Schwinger-Fock gauge.We show that the non-gauge invariant correlators consist of a free part and an almost x-independent part. We also show that the gauge invariant n-point functions are those corresponding to the free part, as in the case of orientable surfaces.     

Optical detection of phenolic compounds based on the surface plasmon resonance band of Au nanoparticles

An indirect colorimetric method is presented for detection of trace amounts of hydroquinone (1), catechol (2) and pyrogallol (3). The reduction of AuCl4(-) to Gold nanoparticles (Au-NPs) by these phenolic compounds in the presence of cetyltrimethylammonium chloride (CTAC) produced very intense surface plasmon resonance peak of Au-NPs. The plasmon absorbance of Au-NPs allows the quantitative colorimetric detection of the phenolic compounds. The calibration curves derived from the changes in absorbance at lambda = 568 nm were linear with concentration of hydroquinone, catechol and pyrogallol in the range of 7.0 x 10(-7) to 1.0 x 10(-4)M, 6.0 x 10(-6) to 2.0 x 10(-4)M and 6.0 x 10(-7) to 1.0 x 10(-4)M, respectively. The detection limits were 5.3 x 10(-7), 2.5 x 10(-6) and 3.2 x 10(-7)M for the hydroquinone, catechol and pyrogallol, respectively. The method was applied satisfactorily to the determination of phenolic compounds in water samples and pharmaceutical formulations.     

Microwave‐assisted solid‐phase synthesis of 2,4,5‐triaryl imidazoles in solventless system: An improved protocol

The solventless microwave‐assisted synthesis of 2,4,5‐triaryl imidazoles from 1,2‐diphenylethandione or 2‐hydroxy‐1,2‐diphenylethanone in the presence of NH₄OAc/NaHSO₄ supported onto silica gel under microwave irradiation is reported. © 2006 Wiley Periodicals, Inc. Heteroatom Chem 17:699–702, 2006; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/hc.20237     

An Efficient and Selective Solid State Oxidation of Thiols to Disulfides with Quinolinium Fluorochromate on Silica Gel

Summary. Various kinds of aliphatic (cyclic and acyclic), aromatic, and heterocyclic thiols are converted into the corresponding disulfides by quinolinium fluorochromate (QFC) on silica-gel in excellent yields. Selective oxidation of thiols in the presence of sulfides is also achieved under solid phase conditions.     

Syntheses of substituted 2-(1-methyl-5-nitro-2-benzimidazolyl)quinolines

Reaction of N-methyl-2-amino-4-nitroaniline ( 1 ) with lactic acid afforded 2-(1-hydroxyethyl)-1-methyl-5-nitrobenzimidazole ( 2 ). Oxidation of compound 2 with chromic acid in acetic acid gave 2-acetyl-1-methyl-5-nitrobenzimidazole ( 3 ). Reaction of compound 3 with substituted 2-aminobenzaldehyde ( 4 ) under basic conditions yielded substituted 2-(1-methyl-5-nitro-2-benzimidazolyl)quinolines ( 5 ). Condensation and cyclization of o-aminoacetophenone (or substituted o-aminobenzophenones) with compound 3 under acetic condition afforded compound 7 . Condensation and cyclization of compound 1 with indole-3-carboxaldehyde ( 11 ) in ethanol in the presence of excess nitrobenzene gave 3-(1-methyl-5-nitro-2-benzimidazolyl)indole ( 12 ).     

Berry phase for spin-1/2 particles moving in a space-time with torsion

Berry phase for a spin-1/2 particle moving in a flat space-time with torsion is investigated in the context of the Einstein–Cartan–Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry phase only if the fermion is massless and its momentum is perpendicular to the direction of the background polarization. The order of magnitude of this Berry phase is discussed in other theoretical frameworks. Received: 12 February 2001 / Revised version: 2 May 2001 / Published online: 29 June 2001