sea surface topography (sst) by definition is the separation between the geoid and the mean sea level (msl). the separation between the geoid and msl is caused by various non-gravitational physical effects. if determination of the geoid as the zero point of the height systems from the tide gauge observation be the goal, it is necessary that the affect of the physical effect be precisely compute...

A gauge function f(.) is a nonnegative convex function that is positively homogeneous and satisfies f(O)=O. Norms and pseudonorms are specific instances of a gauge function. This paper presents a gauge duality theory for a gauge program, which is the problem of minimizing the value of a gauge function f(.) over a convex set. The gauge dual program is also a gauge program, unlike the standard La...

In previous studies, we examined pure U(4) [1] and SU(4) [2] lattice gauge theories in four spacet ime dimensions. Since first-order phase transitions were found in both of these theories, it seems reasonable that these theories should be studied together so that they can be compared and contrasted. To make a more detailed exploration of the phase transitions in these theories, we study the str...

A new approach to gauge fixed Yang-Mills theory is derived using the Polyakov-Susskind projection techniques to build gauge invariant states. In our approach, in contrast to the Faddeev-Popov method, the Gribov problem does not prevent the gauge group from being factored out of the partition function. Lattice gauge theory is used to illustrate the method via a calculation of the static quark–an...

We study the location of the partition function zeros in the complex β plane (Fisher’s Zeros) for SU(2) lattice gauge theory on L4 lattices. We discuss recent attempts to locate complex zeros for L = 4 and 6. We compare results obtained using various polynomial approximations of the logarithm of the density of states and a straightforward MC reweighting. We conclude that the method based on a c...

Recently, a one-parameter deformation of the Maldacena-Núñez background was constructed in hep-th/0505100. According to the Lunin-Maldacena conjecture, the background is dual to pure N = 1 SYM in the IR coupled to a KK sector whose dynamics is altered by a dipole deformation that is proportional to the deformation parameter γ. Thus, the deformation serves to identify the aspects of the gravity ...

Ahmed S. HASSAN, Masahiro IMACHI * , Norimasa TSUZUKI** Department of Physics, Kyushu University, Fukuoka 812-81, JAPAN Hiroshi YONEYAMA *** Department of Physics, Saga University, Saga 840, JAPAN Abstract Character expansion developed in real space renormalization group (RSRG) approach is applied to U(1) lattice gauge theory with θ-term in 2 dimensions. Topological charge distribution P (Q) is...

In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of the definitions can be extended to the c...