Gauge Anomaly associated with the Majorana Fermion in 8k+18k+1 dimensions

Using an elementary method, we show that an odd number of Majorana fermions in $8k+1$ dimensions suffer from a gauge anomaly that is analogous to the Witten global gauge anomaly. This anomaly cannot be removed without sacrificing the perturbative gauge invariance. Our construction of higher-dimensional examples ($k geq1$) makes use of the SO(8) instanton on $S^8$.Comment: 10 pages, uses PTPTeX.cls, the final version to appear in Prog. Theor. Phy

The effect of cycloheximide on mouse learning

Mice were trained in an avoidance learning task. The incorporation of 3H-leucine into the hippocampal regions of trained mice was higher than that of control mice. When mice were injected with cycloheximide, a strong inhibitor of protein synthesis, impairment was evident in acquisition of learning. Cycloheximide produced morphological changes in mitochondria and microtubules of some brain axons. It is suggested that the cycloheximide-induced learning impairment may be due to the blocking of the synthesis of the specific protein necessary of neutral conductivity.</p

Muon g-2 and precision electroweak physics in the MSSM

The minimal supersymmetric extension of standard model (MSSM) is examined by analyzing its quantum effects on the precision electroweak measurements and the muon g-2. We examine carefully the effects of light charginos and neutralinos that are found to improve the fit to the electroweak data. We identify two distinct regions on the $(\mu, M_2)$-plane that fit well to the electroweak data and give significant contribution to muon g-2.Comment: 13 pages, LaTeX2e, 6 eps-formated figures, remarks on b to s gamma, references and acknowledgement added, accepted for publication in Phys. Lett.

QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction using low energy effective theory of QCD with QED. For this purpose, we begin with formulating a new QED on the space with finite volume. By adapting this formalism to the partially quenched QCD with electromagnetism, we explore the qualitative features of the finite size scaling effect on the electromagnetic correction to the masses of pseudo-Goldstone bosons.Comment: 36 pages, 6 figure

Note on massless bosonic states in two-dimensional field theories

In a wide class of $G_L\times G_R$ invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theory without a superpotential possesses $U(1)_L\times U(1)_R$ symmetry and contains one massless bosonic state per fixed spatial momentum. The $\mathcal{N}=(4,4)$ supersymmetric pure Yang-Mills theory possesses $SU(2)_L\times SU(2)_R$ symmetry, and there exist at least three massless bosonic states.Comment: 17pages, 4 figures, uses PTPTeX.cls and feynMF, added an appendi