Renormalization Group Treatment of Nonrenormalizable Interactions

The structure of the UV divergencies in higher dimensional nonrenormalizable theories is analysed. Based on renormalization operation and renormalization group theory it is shown that even in this case the leading divergencies (asymptotics) are governed by the one-loop diagrams the number of which, however, is infinite. Explicit expression for the one-loop counter term in an arbitrary D-dimensional quantum field theory without derivatives is suggested. This allows one to sum up the leading asymptotics which are independent of the arbitrariness in subtraction of higher order operators. Diagrammatic calculations in a number of scalar models in higher loops are performed to be in agreement with the above statements. These results do not support the idea of the na\"ive power-law running of couplings in nonrenormalizable theories and fail (with one exception) to reveal any simple closed formula for the leading terms.Comment: LaTex, 11 page

Superconformal indices of three-dimensional theories related by mirror symmetry

Recently, Kim and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by the mirror symmetry. The proofs are based on the well known identities of the theory of $q$-special functions. We also suggest the general index formula taking into account the $U(1)_J$ global symmetry present for abelian theories.Comment: 17 pages; minor change

Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory

In this paper we give all the details of the calculation that we presented in our previous paper ArXiv:0908.0387 where the infrared structure of the MHV gluon amplitudes in the planar limit for ${\cal N}=4$ super Yang-Mills theory was considered in the next-to-leading order of perturbation theory. Explicit cancellation of the infrared divergencies in properly defined inclusive cross-sections is demonstrated first in a toy model example of "conformal QED" and then in the real ${\cal N}=4$ SYM theory. We give the full-length details both for the calculation of the real emission and for the diagrams with splitting in initial and final states. The finite parts for some inclusive differential cross-sections are presented in an analytical form. In general, contrary to the virtual corrections, they do not reveal any simple structure. An example of the finite part containing just the log functions is presented. The dependence of inclusive cross-section on the external scale related to the definition of asymptotic states is discussed.Comment: 49 pages, LATEX, 6 eps figures; Minor changes, Refs adde

Phenomenology of the 1/Nf_f Expansion for Field Theories in Extra Dimensions

In this paper we review the properties of the 1/$N_f$ expansion in multidimensional theories. Contrary to the usual perturbative expansion it is renormalizable and contains only logarithmic divergencies. The price for it is the presence of ghost states which, however, in certain cases do not contribute to physical amplitudes. In this case the theory is unitary and one can calculate the cross-sections. As an example we consider the differential cross section of elastic $eq \to eq$ scattering in $D=7,11,...$-dimensional world. We look also for the unification of the gauge couplings in multidimensional Standard Model and its SUSY extension which takes place at energies lower than in 4 dimensions.Comment: Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 4 eps figures + 3 axodraw figure

De-installation of the multi-organic dysfunction syndrome by associating the mitochondrial microcirculatory recruitment with multiple organ support therapy in extracorporeal life support organization

World Academy of Medical Sciences (WAMS), Netherland, Fundeni Institute, Bucharest, Romania, Institute of Scientific Research in the field of Mother and Child Health Care, Republic of Moldova, State University of Medicine and Pharmacy “Nicolae Testemitanu”, Republic of Moldova, State Medical University of Samara, The Russian Federation, Aretaieion University Hospital, Athens, Medical School, National, and Kapodistrian The University of Athens, Greece, Odesa National Medicine University, Ukraine, Private Hospital Medical Institution “Via - Intosana”, Republic of Moldova, Medicine University of Buenos Aires, Argentina, Al VI-lea Congres Național de Obstetrică și Ginecologie cu participare internațională, 13-15 septembrie 2018, Chișinău, Republica MoldovaIntroduction: The installation of macro-circulation centralization in MODS triggering in critical obstetric states caused by intravascular coagulation, HELLP, shock, SIRS, septicemia, CARS, embolism of the pulmonary artery, cerebral and other, – microcirculation will also be seriously damaged, as the reduction in blood flow perfusion affects the venous return to eliminate the waste of cellular metabolism, where a marker of tissue hypoxia is the increase in carbon dioxide. Objective: The mitochondrial microcirculatory recruitment with multiple organ support therapy in extracorporeal life support. Material and methods: This is a retrospective study over 35 years, in a lot of critical situations in obstetrics. Results: This disorder generates microcirculatory - mitochondrial distress syndrome, mitochondrial energy collapse, which can be recovered by microcirculation – mitochondrial recruitment to optimize systemic perfusion pressure (SPP), in turn, dependent on mean blood pressure and capillary resistance. Microcirculation - mitochondrial recruitment decentralizes macrocirculation benefits microcirculation in the capillary-cell metabolic area. In cases of manifestation respiratory-pulmonary CO2 ↑ (ARDS), confirmed ↓ PaO2/FiO2 ↓300 to Acute Respiratory Distress Syndrome (Berlin definition, 2012), thus also aggravates the microcirculatory-mitochondrial distress syndrome, mitochondrial collapse and the recruitment of the microcirculatory-mitochondrial is supplemented with multi-organ support therapy (MOST). 1. Alveolar recruitment through respiratory support in specific ventilation modes, predominantly APRV, with permissive hypercapnia at a normal pH. 2) MOST - extracorporeal with technical support. Extracorporeal Life Support Organization – ELSO. 3) Modeling of extra-vascular pulmonary fluid; 4) Th4 - Th5 thoracic epidural block. Conclusion: The absence of decreasing of the pCO2 tissue hypoxia marker at the A-V difference after microcirculatory - mitochondrial recruitment, rejects the necrosis /apoptosis, cellular hypo-(an)ergic and proves the mitochondrial eu-energetic metabolic remodeling with the elimination of the hypo (an) ergic mitochondria performed by clearance lysosomal (mitophagy), thus demonstrating eu-ergic mitochondria with the normalization of mitochondrial uniporter-Ca ++ and mitochondrial permeability pore transition, which productively inactivate the toxic forms of oxygen and nitrogen.Rezumat. Instalarea centralizării macro-circulaţiei în declanşarea MODS în stări critice de obstetrică cauzate de coagularea intravasculară, HELLP, şoc, SIRS, septicemie, CARS, embolie a arterei pulmonare, cerebrală şi altele; - microcirculaţia va fi de asemenea grav afectată, iar perfuzia fluxului sanguin afectează revenirea venoasă pentru a elimina deşeurile de metabolism celular, unde un marker al hipoxiei tisulare este creşterea dioxidului de carbon, la diferenţa A-V. Această tulburare generează sindromul detresei microcirculator – mitocondriale (MMDs), colapsul energetic mitocondrial, care poate fi de-instalat (recuperat) prin recrutarea microcirculator - mitocondrială odată cu optimizarea presiunii de perfuzie sistemică, în dependenţă de tensiunea arterială medie şi rezistenţa capilară. Recrutarea microcirculator - mitocondrială descentralizează macrocirculaţia şi ameliorează microcrculaţia în spaţiul metabolic capilar-celulă. În cazurile de manifestare a ↑CO2-dependent respirator-pulmonar, confirmat ↓ PaO2 / FiO2 ↓ 300 pentru ARDS, sindromul de detresă respiratorie acută (definiţia de la Berlin, 2012), agravează de asemenea, şi sindromul detresei microcirculator-mitocondriale, colapsul mitocondrial iar recrutarea microcirculator - mitocondrială este suplimentată cu terapia de sprijin multi-organ (MOST). 1. Recrutarea alveolară prin suport respirator în moduri de ventilaţie specifice preponderent APRV, cu hipercapnie permisivă la un pH normal. 2) MOST - extracorporal cu suport tehnic în managmentul vital prin sprijin extracorporeal - ELSO. 3) modelarea fluidului pulmonar extra-vascular; 4) Blocul epidural T4-Th5 toracic. Reducerea markerului hipoxiei tisulare pCO2 la diferenţa A-V după recuperarea microcirculator - mitocondrială, respinge necroza / apoptoza, hipo-(an)ergicul celular şi dovedeşte remodelarea metabolică eu-energetică mitocondrială prin eliminarea hipo (an) mitocondriilor ergice efectuate prin clearance-ul lizozomal (mitofagie), demonstrând astfel mitocondriile eu-ergice cu normalizarea tranziţiei porilor permeabilităţii mitocondriale şi canalului uniporter-Ca ++ , care inactivează productiv formele toxice de oxigen şi azot