Structure Constants and Conformal Bootstrap in Liouville Field Theory

An analytic expression is proposed for the three-point function of the exponential fields in the Liouville field theory on a sphere. In the classical limit it coincides with what the classical Liouville theory predicts. Using this function as the structure constant of the operator algebra we construct the four-point function of the exponential fields and verify numerically that it satisfies the conformal bootstrap equations, i.e., that the operator algebra thus defined is associative. We consider also the Liouville reflection amplitude which follows explicitly from the structure constants.Comment: 31 pages, 2 Postscript figures. Important note about existing (but unfortunately previously unknown to us) paper which has significant overlap with this work is adde

The Adjectival construct in Arabic

We propose an analysis of the adjectival construct in Arabic in LFG, building on previous work in LFG on a Welsh construction which shows several similarities to the Arabic (Mittendorf and Sadler, 2008) and work on the MSA and cognate Hebrew constructions by Hazout (2000); Kremers (2005); Siloni (2002); Heller (2002); Kim (2002). The construction involves an adjective occurring with an immediately following definite nominal, which denotes a property, part or quality of the noun that the adjectivemodifies (in attributive use) or is predicated of (in predicative constructions). The major characteristics of this construction are that the post-adjectival nominal serves to delimit the respect in which the adjective denotes a property of the external nominal, and the adjectival head and the GEN complement are subject to a very strict adjacency requirement. We present a syntactic analysis, showing that the construction is formed in the syntax rather than the morphology, and sketch out a proposal as to how the semantics of the construction might be captured

Detection of water leakage in buried pipes using infrared technology; a comparative study of using high and low resolution infrared cameras for evaluating distant remote detection

Water is one of the most precious commodities around the world. However, significant amount of water is lost daily in many countries through broken and leaking pipes. This paper investigates the use of low and high resolution infrared systems to detect water leakage in relatively dry countries. The overall aim is to develop a non-contact and high speed system that could be used to detect leakage in pipes remotely via the effect of the change in humidity on the temperature of the ground due to evaporation. A small scale experimental test rig has been constructed to simulate water leakage in The Great Man- Made River Project in Libya, taking into consideration the dryness level of the desert sand and the scaled dimensions of the system. The results show that the infrared technology is an effective technology in detecting water leakage in pipes. The low resolution system has been found as valuable as the high resolution system in detecting water leakage. The results indicate the possibility of distant remote detection of leakage in water systems using infrared technologies which could be mobilised using drones, helium balloons, aeroplanes or other similar technologies

Measurement of the eta mass at KLOE

An integrated luminosity of 410 pb^(-1), corresponding to ~ 17 million of eta events, has been analyzed to measure the eta mass using the decay eta to gamma gamma. The measurement is insensitive to the calorimeter energy calibration and the systematic error on the measurement is dominated by the uniformity of the detector response. As a cross check of the method the pi0 mass from the decay phi to pi0 gamma, pi0 to gamma gamma has been measured and it is in agreement with the most accurate previous determinations. The result obtained is m(eta) = 547.873 +/- 0.007 (stat.) +/- 0.031 (syst.) MeV, that is today best measurement of the eta mass.Comment: 7 pages, 8 figures, Contributed paper to Lepton Photon 200