Geometry of good sets in n-fold Cartesian product

We propose here a multidimensional generalisation of the notion of link introduced in our previous papers and we discuss some consequences for simplicial measures and sums of function algebras.Comment: 17 pages, no figures, no table

Successful pregnancy outcome in a case of Swyer Syndrome with hypertension and morbid obesity

To report a case of Swyer syndrome with hypertension and morbid obesity with successful pregnancy and live birth after assisted reproductive technology. 27 year old morbidly obese female with essential hypertension who had been on HRT for 10 years with well-developed secondary sexual characters with primary infertility. After adequate development of the uterus and the endometrial preparation, Patients with Swyer syndrome conceive with oocyte donation and ICSI. Caesarean section rate is high due to multiple pregnancies and other obstetric complications. Early detection of these cases would help in timely development of their secondary sexual characters and restoration of menses and gonadectomy for prevention of malignancy as its propensity is high. Multidisciplinary approach is required including counseling and management of long term health problems. Pregnancy is feasible but caesarean rate is high

Fresh versus frozen embryo transfer: a retrospective cohort study

Background: Elective frozen embryo transfer (FET), has recently increased significantly with improvements in cryopreservation techniques. Observational studies and randomized controlled trials suggested that the endometrium in stimulated cycles is not optimally prepared for implantation; risk of ovarian hyperstimulation syndrome reduced and pregnancy rates increased following FET and perinatal outcomes are less affected after FET. However, the evidence is not unequivocal and recent randomised control trials challenge the use of elective FET for the general IVF population. Pregnancy rates were analysed in a cohort of patients undergoing embryo transfers.Methods: This was a retrospective cohort study of patients who underwent embryo transfers from April 2018 to March 2019 at study centre in Surat.175 cycles of embryo transfers (119 fresh and 56 frozen) were included in the study. Outcomes measured were positive pregnancy, clinical pregnancy and ongoing clinical pregnancy rates achieved in the IVF-ET cycles.Results: There were no statistically significant differences between positive pregnancy rate (54.6% versus 60.7%, Odds ratio (OR) 0.78; 95% Confidence Interval (CI) 0.41-1.49), clinical pregnancy rate (48.73% versus 57.14%, OR 0.52; 95% CI 0.1- 2.64) and ongoing clinical pregnancy rate  (45.38% versus 51.78% OR 1.4; 95% CI 0.29 - 6.67) in fresh ET and FET cycles, respectively, p < 0.05 was considered statistically significant for all measures.Conclusions: Despite the observed higher rates of positive biochemical, clinical and ongoing clinical pregnancy per transfer in the FET cohort, these did not reach statistical significance. Thus, both transfer strategies are reasonable options, although there is a trend favouring the freeze-all strategy

Knowing a cross-talk between embryo and endometrium can help to achieve successful pregnancy outcome in recurrent implantation failure

Recurrent implantation failure is most distressing condition to both couple as well as doctor in the field of reproductive medicine. Patients have already undergone various ART treatments with no favourable outcome and are drained emotionally as well as economically. To overcome this obstacle a comprehensive approach is needed. In this case report, we are addressing a couple who came to us with primary infertility of 15 yrs, with recurrent IVF failures (four cycles of IUI, seven cycles of ICSI both fresh and frozen and with ovum donation in last two cycle), with poor ovarian reserve and male factor infertility for surrogacy as a last option. After complete evaluation of couple, recurrent Implantation failure is thought to be due to poor endometrium and bad embryo quality, and we counselled couple to go for ovum donation and ICSI before considering surrogacy. To improve endometrial receptivity we performed local endometrial injury, oral estradiol therapy, intrauterine G-CSF instillation and IVIG etc. Simultaneously for better quality of embryo we decided to choose ovum donation due to poor ovarian reserve and advance age of the patient and ICSI was done with husband sperm after treatment of male factor infertility and ET was performed. Patient conceived in first cycle with single live intrauterine pregnancy, her antenatal course was uneventful and delivered a healthy baby at term without any complication

Effective Field Theory Approach to High-Temperature Thermodynamics

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional reduction to the bosonic zero-frequency modes. The parameters of the effective theory can be calculated as perturbation series in the running coupling constant $g^2(T)$. The free energy is separated into the contributions from the momentum scales $T$ and $gT$, respectively. The first term can be written as a perturbation series in $g^2(T)$. If all forces are screened at the scale $gT$, the second term can be calculated as a perturbation series in $g(T)$ beginning at order $g^3$. The parameters of the effective theory satisfy renormalization group equations that can be used to sum up leading logarithms of $T/(gT)$. We apply this method to a massless scalar field with a $\Phi^4$ interaction, calculating the free energy to order $g^6 \log g$ and the screening mass to order $g^5 \log g$.Comment: 40 pages, LaTeX, 5 uuecoded figure

Short distance physics with heavy quark potentials

We present lattice studies of heavy quark potentials in the quenched approximation of QCD at finite temperatures. Both, the color singlet and color averaged potentials are calculated. While the potentials are well known at large distances, we give a detailed analysis of their short distance behavior (from 0.015 fm to 1 fm) near the critical temperature. At these distances we expect that the T-dependent potentials go over into the zero temperature potential. Indeed, we find evidences that the temperature influence gets suppressed and the potentials starts to become a unique function of the underlying distance scale. We use this feature to normalize the heavy quark potentials at short distances and extract the free energy of the quark system in a gluonic heat bath.Comment: Lattice2001(hightemp), 3 pages, 2 figure

Asymptotic Behavior of the Correlator for Polyakov Loops

The asymptotic behavior of the correlator for Polyakov loop operators separated by a large distance $R$ is determined for high temperature QCD. It is dominated by nonperturbative effects related to the exchange of magnetostatic gluons. To analyze the asymptotic behavior, the problem is formulated in terms of the effective field theory of QCD in 3 space dimensions. The Polyakov loop operator is expanded in terms of local gauge-invariant operators constructed out of the magnetostatic gauge field, with coefficients that can be calculated using resummed perturbation theory. The asymptotic behavior of the correlator is $\exp(-MR)/R$, where $M$ is the mass of the lowest-lying glueball in $(2+1)$-dimensional QCD. This result implies that existing lattice calculations of the Polyakov loop correlator at the highest temperatures available do not probe the true asymptotic region in $R$.Comment: 10 pages, NUHEP-TH-94-2

Wilson Loop and the Treatment of Axial Gauge Poles

We consider the question of gauge invariance of the Wilson loop in the light of a new treatment of axial gauge propagator proposed recently based on a finite field-dependent BRS (FFBRS) transformation. We remark that as under the FFBRS transformation the vacuum expectation value of a gauge invariant observable remains unchanged, our prescription automatically satisfies the Wilson loop criterion. Further, we give an argument for {\it direct} verification of the invariance of Wilson loop to O(g^4) using the earlier work by Cheng and Tsai. We also note that our prescription preserves the thermal Wilson loop to O(g^2).Comment: 8 pages, LaTex; some typos related to equation (18) correcte