Bounds on the Wilson Dirac Operator

New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain wall fermions as well.Comment: 16 pages, TeX, 3 eps figures, small corrections and improvement

On the continuum limit of fermionic topological charge in lattice gauge theory

It is proved that the fermionic topological charge of SU(N) lattice gauge fields on the 4-torus, given in terms of a spectral flow of the Hermitian Wilson--Dirac operator, or equivalently, as the index of the Overlap Dirac operator, reduces to the continuum topological charge in the classical continuum limit when the parameter $m_0$ is in the physical region $0<m_0<2$.Comment: latex, 18 pages. v2: Several comments added. To appear in J.Math.Phy

Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an exponential rate as the size of the extra dimension increases. Before this method can be used in dynamical simulations of lattice QCD, the dependence of the restoration rate to the other parameters of the theory and, in particular, the lattice spacing must be investigated. In this paper such an investigation is carried out in the context of the two flavor lattice Schwinger model.Comment: LaTeX, 37 pages including 18 figures. Added comments regarding power law fitting in sect 7. Also, few changes were made to elucidate the content in sect. 5.1 and 5.3. To appear in Phys. Rev.

A Survey of Analogs to Weak MgII Absorbers in the Present

We present the results of a survey of the analogs of weak MgII absorbers (rest frame equivalent width W(2796) < 0.3 A) at 0 < z < 0.3. Our sample consisted of 25 HST/STIS echelle quasar spectra (R = 45,000) which covered SiII 1260 and CII 1335 over this redshift range. Using those similar transitions as tracers of MgII facilitates a much larger survey, covering a redshift pathlength of g(z) = 5.3 for an equivalent width limit of MgII corresponding to W(2796) > 0.02 A, with 30% completeness for the weakest lines. We find the number of weak MgII absorber analogs with 0.02 < W(2796) < 0.3 to be dN/dz = 1.00 +/- 0.20 for 0 < z < 0.3. This value is consistent with cosmological evolution of the population. We consider the expected effect on observability of weak MgII absorbers of the decreasing intensity of the extragalactic background radiation eld from z~1 to z~0. Assuming that all the objects that produce absorption at z~1 are stable on a cosmological timescale, and that no new objects are created, we would expect dN/dz of 2-3 at z~0. About 30-50% of this z~0 population would be decendants of the parsec-scale structures that produce single-cloud, weak MgII absorbers at z~1. The other 50-70% would be lower density, kiloparsec-scale structures that produce CIV absorption, but not detectable low ionization absorption, at z~1. We conclude that at least one, and perhaps some fraction of both, of these populations has evolved away since z~1, in order to match the z~0 dN/dz measured in our survey. This would follow naturally for a population of transient structures whose generation is related to star-forming processes, whose rate has decreased since z~1.Comment: 45 pages, 12 figures, 7 tables ApJ accepte

Effect of oral exposure of mycobacterium avium intracellulare on the protective imunity induced by BCG

The relative protective efficacy of oral administration of mycobacteria as compared to the conventional intradermal route of vaccination has been assessed in guinea pigs. Skin test reactivity to partially purified protein derivative and protective immunity to challenge with virulent Mycobacterium tuberculosis were used as parameters of protective immunity. Oral immunisation of guinea pigs either with BCG or with Mycobacterium avium intracellulare induces skin test reactivity and protective immunity comparable to that induced by intradermal route of vaccination. Oral exposure of Mycobacterium avium intracellulare prior to oral or intradermal dose of BCG did not interfere with the protective immunity induced by BCG in guinea pigs challenged with Mycobacterium tuberculosis H37Rv

CMI response of tuberculosis patients and volunteers to mitogens and mycobacterial antigens by LTT

Various mechanisms have been proposed in the past to explain the inability of the body’s cell mediated immunity (CMI) to cope with the infecting organism in myco bacterial disease such as leprosy. They include short lived suppressor cells, n-2 (IL2) defect and Prostaglandin mediated suppression1,2,3. In leprosy hanisms have been studied using the lymphocyte transformation test (LTT) to elucidate CMI in vitro. The present study was designed to study the regulation of CMI in tuberculosis patients and normal individuals with regard to induction, expression, inhibition and modulation due to prior exposure to environmental mycobacteria

Defective concanavalin A-induced suppression in Bancroftian filariasis

A concanavalin-A-induced suppressor cell assay was carried out in 10 patients with chronic filarial disease, 13 asymptomatic microfilaria carriers and 7 healthy subjects. Both the chronic filarial patients and the asymptomatic microfilaria carriers showed statistically significant reduced suppression indices when compared with the control subjects. The reduction in suppression indices was greater in the microfilaria carriers than in the chronic filarial patients

Sensitisation pattern of healthy volunteers and tuberculosis patients to various mycobacterial antigens by ELISA

The sensitisation pattern of 39 tuberculosis patients and 21 healthy volunteers to 9 different mycobacterial antigen sonicates was estimated using ELISA. The antibody levels of patients and volunteers were high against M. tuberculosis-7219, M. kanasii and M. scrofulaceurn and low against M. chelonei and M.fortuitum. The tuberculosis patients showed a mean antibody level which was significantly different from that of volunteers to M. tuber culosis-7219, M. kansasii, M. scrofulaceum, M. tuberculosis S.I., M. bovis and PPD-S. With respect to three antigens, namely, M. chelonei, M. fortuitum and M, avium intracellulare, there was no significant difference between patients and volunteers

Domain wall fermion zero modes on classical topological backgrounds

The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that in the limit of infinite separation in this new dimension, domain wall fermions have exact zero modes, even for gauge fields which are not smooth. We explore the effects of finite extent in the fifth dimension on the zero modes for both smooth and non-smooth topological configurations and find that a fifth dimension of around ten sites is sufficient to clearly show zero mode effects. This small value for the extent of the fifth dimension indicates the practical utility of this technique for numerical simulations of QCD.Comment: Updated fig. 3-7, small changes in sect. 3, added fig. 8, added more reference

General bounds on the Wilson-Dirac operator

Lower bounds on the magnitude of the spectrum of the Hermitian Wilson-Dirac operator H(m) have previously been derived for 0<m<2 when the lattice gauge field satisfies a certain smoothness condition. In this paper lower bounds are derived for 2p-2<m<2p for general p=1,2,...,d where d is the spacetime dimension. The bounds can alternatively be viewed as localisation bounds on the real spectrum of the usual Wilson-Dirac operator. They are needed for the rigorous evaluation of the classical continuum limit of the axial anomaly and index of the overlap Dirac operator at general values of m, and provide information on the topological phase structure of overlap fermions. They are also useful for understanding the instanton size-dependence of the real spectrum of the Wilson-Dirac operator in an instanton background.Comment: 26 pages, 2 figures. v3: Completely rewritten with new material and new title; to appear in Phys.Rev.