The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical symmetry is not required. Using these Green functions, the corresponding wave functions are found in the approximation similar to the Furry-Sommerfeld-Maue appro...

We discuss the renormalizability of the massless Thirring model in terms of the causal fermion Green functions and correlation functions of left–right fermion densities. We obtain the most general expressions for the causal two–point Green function and correlation function of left–right fermion densities with dynamical dimensions of fermion fields, parameterised by two parameters. The region of...

Since order parameter of the chiral symmetry breaking Green Functions are a useful link between the OPE expansion and χPT we perform a calculation to the NLO in αs, working in the chiral limit, for all the 2 and 3 point ones. These Green Functions have no perturbative term in the chiral limit and thence their main contribution comes from the ¯ qq operator.

We apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.

We derive the connected correlation functions for eigenvalues of large Her-mitian random matrices with independently distributed elements using both a diagrammatic and a renormalization group (RG) inspired approach. With the diagrammatic method we obtain a general form for the one, two and three-point connected Green function for this class of ensembles when matrix elements are identically dist...

By using the enlarged BRS transformations we control the gauge parameter dependence of Green functions in the background field gauge. We show that it is unavoidable – also if we consider the local Ward identity – to introduce the normalization gauge parameter ξo, which enters the Green functions of higher orders similarly to the normalization point κ. The dependence of Green functions on ξo is ...

The application of the background-field method to the electroweak Standard Model and its virtues are reviewed. Special emphasis is directed to the Ward identities that follow from the gauge invariance of the background-field effective action. They are compatible with on-shell renormalization and imply a decent behavior of the background-field vertex functions. Via the usual construction of conn...

urban green spaces and parks are important land use of cities which promote quality of life by providing facilities for leisure and also play a crucial role in social cohesion and participation due to their socio-economic and environmental functions. hence the distribution of such spaces is very important in cities. however the zone of 3 in tehran has a relative appropriate green space per capi...

We approximate a Euclidean version of a D + 1 dimensional manifold with a bifurcate Killing horizon by a product of the two dimensional Rindler space R2 and a D − 1 dimensional Riemannian manifold M. We obtain approximate formulas for the Green functions. We study the behaviour of Green functions near the horizon and their dimensional reduction. We show that if M is compact then the massless mi...

drying characteristics of green pea (pisum satium) with an initial moisture content of 76% (db) was studied in a fluidized bed dryer assisted by microwave heating. four drying air temperatures (30, 40, 50 and 60ºc) and five microwave powers (180, 360, 540, 720 and 900w) were adopted. several experiments were conducted to obtain data for sample moisture content versus drying time. the results sh...