The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition forD to have correct fermion determinant (...

An aberrant right subclavian artery is an uncommon anomaly. When associated with esophageal cancer, it can cause diagnostic confusion as the symptoms are similar. If unrecognized and injured during esophageal surgery, it can lead to disastrous complications. We report a patient in whom this aberrant artery was injured during a thoracoscopic mobilization of the esophagus. The embryological and r...

The paper analyzes systems vulnerability targeted by TCP (Transmission Control Protocol) segments when SYN flag is ON, which gives space for a DoS (Denial of Service) attack called SYN flooding attack or more often referred as a SYN flood attack. The effects of this type of attack are analyzed and presented in OPNET simulation environment. Furthermore, the paper presents two anomaly detection a...

Due to the presence of the chiral anomaly sphalerons with Chern-Simons number a half (CS=1/2) are the only static configurations that allow for a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e. in the absence of Yukawa interactions. In the presence of fermion-Higgs interactions we demonstrate the existence of zero energy solutions to the one-dimens...

We derive the general form of the anomaly for chiral spinors and self-dual antisymmetric tensors living on D-brane and O-plane intersections, using both path-integral and index theorem methods. We then show that the anomalous couplings to RR forms of D-branes and O-planes in a general background are precisely those required to cancel these anomalies through the inflow mechanism. This allows, fo...

We calculate the chiral anomaly in the neighbourhood of the fixed point space Mh which is constructed by the group action of a discrete symmetry h on a compact manifold M. The Feynman diagrams approach for the corresponding supersymmetric quantum mechanical system with twisted boundary conditions is used. The result we derive in this way agrees with the generalization of the ordinary index theo...

Angular-resolved reflection measurements suggest that higher-order Miller-index crystal planes of a fcc photonic crystal reflect specularly about the normal to the 111 planes. We suggest that this phenomenon results from a two-step diffraction process where light is first Bragg diffracted by higher-order Miller-index crystal planes and is then two-dimensionally diffracted by periodicities withi...

we have applied an automatic interpretation method of potential data called an-eul in unexploded ordnance (uxo) prospective which is indeed a combination of the analytic signal and the euler deconvolution approaches. the method can be applied for both magnetic and gravity data as well for gradient surveys based upon the concept of the structural index (si) of a potential anomaly which is relate...

We have applied an automatic interpretation method of potential data called AN-EUL in unexploded ordnance (UXO) prospective which is indeed a combination of the analytic signal and the Euler deconvolution approaches. The method can be applied for both magnetic and gravity data as well for gradient surveys based upon the concept of the structural index (SI) of a potential anomaly which is relate...

Temperomandibular joint ankylosis is a relatively common anomaly affecting the face causing facial asymmetry which necessitates multiple surgeries to restore function and form to near normal. The most important diagnostic aid in T.M.J ankylosis is radiography ranging from conventional radiography to C.T scans. This is a case report of an unusual radiographic presentation of bilateral T.M.J anky...