Random-matrix theories in quantum physics : common concepts

We review the development of random-matrix theory (RMT) during the last decade. We emphasize both the theoretical aspects, and the application of the theory to a number of fields. These comprise chaotic and disordered systems, the localization problem, many-body quantum systems, the Calogero-Sutherland model, chiral symmetry breaking in QCD, and quantum gravity in two dimensions. The review is preceded by a brief historical survey of the developments of RMT and of localization theory since their inception. We emphasize the concepts common to the above-mentioned fields as well as the great diversity of RMT. In view of the universality of RMT, we suggest that the current development signals the emergence of a new "statistical mechanics": Stochasticity and general symmetry requirements lead to universal laws not based on dynamical principles.

Random Matrix Theories in Quantum Physics: Common Concepts

https://authors.library.caltech.edu/39827/7/1303.2371v1.pdf

Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond

We review recent progress in the study of the anomalous baryon number non-conservation at high temperatures and in high energy collisions. Recent results on high temperature phase transitions are described, and applications to electroweak baryogenesis are considered. The current status of the problem of electroweak instanton-like processes at high energies is outlined. This paper is written on the occasion of Sakharov’s 75th anniversary and will appear in the memorial volume of Uspekhi (Usp. Fiz. Nauk, volume 166, No 5, May 1996).

/pdf/electroweak-baryon-number-non-conservation-in-the-early-1nu33360wp.pdf

Electroweak baryon number non-conservation in the early Universe and in high-energy collisions

The Strong CP Problem Revisited

Parity Violation and Related Effects in Neutron Induced Reactions

On the neutron electric dipole moment in the Weinberg CP-violation model

Energy dependence of parity non-conservation effects is derived for neutron elastic scattering on nuclei: emission asymmetry and the rotation of the polarization plane for the polarized neutron beam and longitudinal polarization for unpolarized neutrons. Both potential scattering and scattering through the compound-nucleus resonances (multi-level approximation) are taken into account. The expressions obtained are compared with experimental data on thermal neutron scattering.

Parity non-conservation effects in neutron elastic scattering reactions

A version of a theoretical explanation is proposed for the recently discovered effect of T-odd correlation in ternary nuclear fission induced by polarized neutrons. It is shown that the inclusion of the Coriolis interaction between a third particle and the fissile-nucleus spin within the quantum theory of fission makes it possible to explain the experimental features of the effect and provides a correct estimate of its magnitude.

V. E. Bunakov

Papers

Parity Violation and Related Effects in Neutron Induced Reactions

On the neutron electric dipole moment in the Weinberg CP-violation model

Parity non-conservation effects in neutron elastic scattering reactions

T-odd asymmetries in the angular distributions of fragments originating from the ternary fission of nuclei

Stripping to unbound states