We present the newly improved Batalin-Fradkin-Tyutin (BFT) Hamiltonian formalism and the generalization to the Lagrangian formulation, which provide the much more simple and transparent insight to the usual BFT method, with application to the non-Abelian Proca model which has been an difficult problem in the usual BFT method. The infinite terms of the effectively first class constraints can be ...

We review equivariant localization techniques for the evaluation of Feynman path integrals. We develop systematic geometric methods for studying the semi-classical properties of phase space path integrals for dynamical systems, emphasizing the relations with integrable and topological quantum field theories. Beginning with a detailed review of the relevant mathematical background – equivariant ...

We present general methods to study the effect of multitrace deformations in conformal theories admitting holographic duals in Anti de Sitter space. In particular, we analyse the case that these deformations introduce an instability both in the bulk AdS space and in the boundary CFT. We also argue that multitrace deformations of the O(N) linear sigma model in three dimensions correspond to nont...

Quantum geometrodynamics (QGD) in extended phase space (EPS) essentially distinguished from the Wheeler – DeWitt QGD is proposed. The grounds for constructing a new version of quantum geometrodynamics are briefly discussed. The main part in the proposed version of QGD is given to the Schrödinger equation for a wave function of the Universe. The Schrödinger equation carries information about a c...

Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling super-Liouville fields are introduced to identify the original second-class constrained system with a gauge-fixed version of a first-class system. The BFV-BRST quantization applies to formulate the theory in the most general class of gauges. A local effecti...

We investigate the properties of several nonparametric tests for jumps in financial markets. We derive a theoretical property of these tests not observed in any of the previous literature: when they are applied to finitely sampled data, they are generally biased toward finding too many jumps. This results from bias in finite-sample estimation of several important test components. The severity o...

Point particle in general background fields vs. free gauge theories of traceless symmetric tensors Abstract Point particle may interact to traceless symmetric tensors of arbitrary rank. Free gauge theories of traceless symmetric tensors are constructed, that provides a possibility for a new type of interactions, when particles exchange by those gauge fields. The gauge theories are parameterized...

For the last decade[1], tunable quantum dot systems have allowed the investigation of Kondo physics wherein the quenching of a single spin on an artificial atom affects the conductance. The pseudogap Kondo model (pKm) featuring a density of states ρ(ǫ) = C|ǫ| , introduced by Withoff and Fradkin[2] in 1990 was predicted to exhibit Kondo-like physics above a critical value of the Kondo coupling, ...

Third International Sakharov Conference on Physics organized by the Theoretical Physics Department of the Lebedev Institute, Russian Academy of Sciences, covered wide scope of topics: astrophysics, fusion, high field, high pressure and high density research, superstrings and dualities, brane world and quantum gravity, quantum field theory and high energy physics. This short Opening Word however...

In his State of the Union address on 20 January 2015, President Barack Obama announced the Precision Medicine Initiative. Although the concept of “precision medicine” has been present for nearly a decade, many interpretations of precision medicine exist. At its core, precision medicine is a model that proposes the custom delivery of health care, with medical practices, testing, decisions, and t...