1,468 research outputs found
Renormalization of the Fayet-Iliopoulos Term in Softly Broken SUSY Gauge Theories
It is shown that renormalization of the Fayet-Iliopoulos term in a softly
broken SUSY gauge theory, in full analogy with all the other soft terms
renormalizations, is completely defined in a rigid or an unbroken theory.
However, contrary to the other soft renormalizations, there is no simple
differential operator that acts on the renormalization functions of a rigid
theory and allows one to get the renormalization of the F-I term. One needs an
analysis of the superfield diagrams and some additional diagram calculations in
components. The method is illustrated by the four loop calculation of some part
of renormalization proportional to the soft scalar masses and the soft triple
couplings.Comment: Latex2e, 14 pages, uses axodraw.sty. References adde
Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and derivations of the graded shuffle algebra
We consider large-N multi-matrix models whose action closely mimics that of
Yang-Mills theory, including gauge-fixing and ghost terms. We show that the
factorized Schwinger-Dyson loop equations, expressed in terms of the generating
series of gluon and ghost correlations G(xi), are quadratic equations S^i G = G
xi^i G in concatenation of correlations. The Schwinger-Dyson operator S^i is
built from the left annihilation operator, which does not satisfy the Leibnitz
rule with respect to concatenation. So the loop equations are not differential
equations. We show that left annihilation is a derivation of the graded shuffle
product of gluon and ghost correlations. The shuffle product is the point-wise
product of Wilson loops, expressed in terms of correlations. So in the limit
where concatenation is approximated by shuffle products, the loop equations
become differential equations. Remarkably, the Schwinger-Dyson operator as a
whole is also a derivation of the graded shuffle product. This allows us to
turn the loop equations into linear equations for the shuffle reciprocal, which
might serve as a starting point for an approximation scheme.Comment: 13 pages, added discussion & references, title changed, minor
corrections, published versio
Strings, Matrix Models, and Meanders
I briefly review the present status of bosonic strings and discretized random
surfaces in D>1 which seem to be in a polymer rather than stringy phase. As an
explicit example of what happens, I consider the Kazakov-Migdal model with a
logarithmic potential which is exactly solvable for any D (at large D for an
arbitrary potential). I discuss also the meander problem and report some new
results on its representation via matrix models and the relation to the
Kazakov-Migdal model. A supersymmetric matrix model is especially useful for
describing the principal meanders.Comment: 12 pages, 4 Latex figures, uses espcrc2.sty Talk at the 29th
Ahrenshoop Symp., Buckow, Germany, Aug.29 - Sep.2, 199
Interplay between antioxidant activity, health and disease
The article discusses the relationship between oxidative stress (OS) and pathological conditions, the possibilities and benefits of estimating OS considering the integral antioxidant activity (AOA) as an OS criterion, and using a simple accessible hybrid potentiometric method (HPM) with a mediator system for AOA monitoring. The results of AOA of blood serum in healthy volunteers and patients with various diseases are presented. Preliminary reference values are found. The lower levels of AOA of blood serum in patients with different diseases in comparison with the control group are observed. The potential mechanisms of changes in the AOA levels and it’s clinical significance are discussed from the position of biointerfaces interplay. With AOA equal or greater than 1.40 mmol-eq l–1 the person is healthy, the range from 0.95 to 1.40 mmol-eq l–1 indicates that the patient is at risk and needs to undergo a further medical examination. When AOA blood serum is below 0.95 mmol-eq l–1, detailed diagnostics and relevant treatment are required. The findings allow suggesting that the approach determine antioxidant/oxidant activity of biological fluids holds considerable promise for monitoring OS; it opens up new opportunities in expanding the use of analytical chemistry in medicine. © 2019 by the authors
Synthesis of superconducting pyrochlore RbOs2O6
RbOs2O6, the third superconducting pyrochlore oxide (known so far), has been
synthesized by encapsulation and by high pressure techniques. Suitable post
chemical treatment of the as-prepared sample allowed us to eliminate the
impurity phases. Bulk superconductivity with Tc=6.4 K was observed in
magnetisation and specific heat measurements. The transition temperature of
RbOs2O6 was found to be the same for both preparation methods. Structural
investigations showed that Rb atoms occupy the 8b site in the pyrochlore
lattice with a lattice parameter of 10.1137(1) A.Comment: 12 pages, 5 figures, correction to one author name and Figure
Random Energy Model with complex replica number, complex temperatures and classification of the string's phases
The results by E. Gardner and B.Derrida have been enlarged for the complex
temperatures and complex numbers of replicas. The phase structure is found.
There is a connection with string models and their phase structure is analyzed
from the REM's point of view.Comment: 11 pages,revte
Diagnostics of structural shifts in economy of peripheries in central region of southern Russia
The present state of the regional economic space is difficult to consider in isolation from the pattern of industrial specialization. In southern Russian regions, it is the currently aggravated socio-economic issues being determined by the crisis events and processes in the economy that make us adopt a new perspective to look at the need to establish a balanced spatial economic policy for preventing asymmetry and polarization in the development of separate territorie
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