Relativistic Corrections to Nonrelativistic Effective Field Theories

In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a real, self-interacting scalar field, into an equivalent theory, describing a complex scalar field that encodes at each time both the original field and its conjugate momentum. Our low-energy effective theory incorporates relativistic corrections to the kinetic energy as well as the backreaction of fast-oscillating terms on the behavior of the dominant, slowly varying component of the field. Possible applications of our new approach include axion dark matter, though the methods developed here should be applicable to the low-energy limits of other field theories as well.Comment: 31pp. References added, and 3 appendices added, showing (a) how to implement the field redefinition as a canonical transformation, (b) how to develop the effective field theory using a local field redefinition, and (c) how to use a further field redefinition to compare our results with those of Mukaida, Takimoto, and Yamad

Mechanisms for primordial black hole production in string theory

We consider mechanisms for producing a significant population of primordial black holes (PBHs) within string inspired single field models of inflation. The production of PBHs requires a large amplification in the power spectrum of curvature perturbations between scales associated with CMB and PBH formation. In principle, this can be achieved by temporarily breaking the slow-roll conditions during inflation. In this work, we identify two string setups that can realise this process. In string axion models of inflation, subleading non-perturbative effects can superimpose steep cliffs and gentle plateaus onto the leading axion potential. The cliffs can momentarily violate the slow-roll conditions, and the plateaus can lead to phases of ultra slow-roll inflation. We thus achieve a string motivated model which both matches the Planck observations at CMB scales and produces a population of light PBHs, which can account for an order one fraction of dark matter. In DBI models of inflation, a sharp increase in the speed of sound sourced by a steep downward step in the warp factor can drive the amplification. In this scenario, discovery of PBHs could indicate non-trivial dynamics in the bulk, such as flux-antibrane annihilation at the tip of a warped throat

Effective theories for a nonrelativistic field in an expanding universe: Induced self-interaction, pressure, sound speed, and viscosity

Abstract A massive, nonrelativistic scalar field in an expanding spacetime is usually approximated by a pressureless perfect fluid, which leads to the standard conclusion that such a field can play the role of cold dark matter. In this paper, we systematically study these approximations, incorporating subleading corrections. We provide two equivalent effective descriptions of the system, each of which offers its own advantages and insights: (i) A nonrelativistic effective field theory (EFT) with which we show that the relativistic corrections induce an effective self-interaction for the nonrelativistic field. As a byproduct, our EFT also allows one to construct the exact solution, including oscillatory behavior, which is often difficult to achieve from the exact equations. (ii) An effective (imperfect) fluid description, with which we demonstrate that, for a perturbed Friedmann-Lemaître- Robertson-Walker (FLRW) universe: (a) The pressure is small but nonzero (and positive), even for a free theory with no tree-level self-interactions. (b) The sound speed of small fluctuations is also nonzero (and positive), reproducing already known leading-order results, correcting a subdominant term, and identifying a new contribution that had been omitted in previous analyses. (c) The fluctuations experience a negative effective bulk viscosity. The positive sound speed and the negative bulk viscosity act in favor of and against the growth of overdensities, respectively. The net effect may be considered a smoking gun for ultra-light dark matter

Effect of celery extract on thyroid function; is herbal therapy safe in obesity?

Celery (Apium graveolens) is a popular medicinal herb that used conventionally for the treatment of different diseases. This report aimed to demonstrate celery would induce hyperthyroidism after oral celery extract consumption for weight loss. A 36-year-old female patient came to our clinic with blurred vision, palpitation, and nausea. Dietary history showed that she used 8 g/day of celery extract in powder form for weight reduction. Weight loss during 78 days of celery extract consumption was 26 kg. Thyroid function test showed that serum level of thyroid-stimulating hormone (TSH) and T4 were 0.001 mIU/L and 23 ng/dl, respectively). Grave�s and thyrotoxicosis ruled out by other laboratory evaluations. Methimazole 10 mg/day was prescribed. Serum level of TSH was evaluated. The celery extraction intake was discontinued when started treatment with methimazole. Not found any thyroid stimulator (thyroxin and other) in celery extraction. We concluded that observed hyperthyroidism and allergic reaction may be induced by celery extract consumption. Therefore, it is possible that hyperthyroidism may be a side effect of frequent celery extract consumption. © 2019 International Journal of Preventive Medicine | Published by Wolters Kluwer - Medknow

Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter

Abstract Massive scalar fields provide excellent dark matter candidates, whose dynamics are often explored analytically and numerically using nonrelativistic Schrödinger-Poisson (SP) equations in a cosmological context. In this paper, starting from the nonlinear and fully relativistic Klein-Gordon-Einstein (KGE) equations in an expanding universe, we provide a systematic framework for deriving the SP equations, as well as relativistic corrections to them, by integrating out ‘fast modes’ and including nonlinear metric and matter contributions. We provide explicit equations for the leading-order relativistic corrections, which provide insight into deviations from the SP equations as the system approaches the relativistic regime. Upon including the leading-order corrections, our equations are applicable beyond the domain of validity of the SP system, and are simpler to use than the full KGE case in some contexts. As a concrete application, we calculate the mass-radius relationship of solitons in scalar dark matter and accurately capture the deviations of this relationship from the SP system towards the KGE one

Haloperidol's effect on the expressions of TGFB, NT-3, and BDNF genes in cultured rat microglia

Introduction: Microglia, small glial cells, i.e. mesodermal in origin and found in the brain and spinal cord, play a key role in the maintenance of neurons and immune defense. Haloperidol, an antipsychotic drug, is used to treat numerous neurological and neurodegenerative disorders. Its mechanism is not understood; however, haloperidol may result in Wnt signaling pathway activation. This study aimed to activate the Wnt signaling pathway using haloperidol and determining the effect of GSK3 inhibition on the expression of TGFB, NT-3, and BDNF genes in cultured rat microglia. Methods: Microglia isolation was conducted, and the immunohistochemistry technique was performed to confirm microglia purity. The RNA extraction was followed by cDNA synthesis. Real-time RT-PCR was used to evaluate any significant changes in the expression level of these genes. Results: The three gene expressions in microglia were proportional to the different concentrations of the drug. More concentration of drugs resulted in higher levels of expression of these genes. Besides, the haloperidol did not affect the expression of the beta-actin gene as the reference gene. Conclusion: The obtained results supported the beneficial use of haloperidol in targeted microglia therapy. This study can be a breakthrough in neurology research. © 2020 Iran University of Medical Sciences. All rights reserved

Elevated liver enzymes and cardiovascular mortality: A systematic review and dose-response meta-analysis of more than one million participants

Gamma glutamyl transferase (GGT), alanine aminotransferase (ALT), aspartate aminotransferase (AST), and alkaline phosphatase (ALP) are commonly used liver function markers. We performed a dose-response meta-analysis to investigate the association between liver enzymes and cardiovascular disease (CVD) mortality in prospective cohort studies. We conducted a systematic search up to April 2018 in Medline/PubMed, Scopus, Cochrane, and Embase databases. Combined hazard ratios (HRs) with 95 confidence intervals (CIs) were estimated using a random-effects model as described by DerSimonian and Laird. Dose-response analysis was also carried out. Twenty-three studies with 1 067 922 participants reported association between GGT and CVD mortality and were included in our analysis. Pooled results showed a significant association between GGT and risk of CVD mortality (HR: 1.62; 95 CI: 1.47-1.78, P=0.001, P-heterogeneity=0.001) and it was HR: 0.87; 95 CI: 0.73-1.07; P=0.221, P-heterogeneity=0.028, for ALT. There was a direct association between baseline levels of ALP and AST/ALT ratio with CVD mortality (HR: 1.45; 95 CI: 1.11-1.89; P=0.005, P-heterogeneity=0.026, and HR: 2.20; 95 CI: 1.60-3.04; P=0.001, P-heterogeneity=0.540, respectively). Pooled results did not show any significant association between AST and the risk of CVD mortality (HR: 1.20; 95 CI: 0.83-1.73; P=0.313, P-heterogeneity=0.024). Moreover, there was a significant nonlinear association between GGT and ALP levels and the risk of CVD mortality (P=0.008 and 0.016, respectively). Our dose-response meta-analysis revealed a direct relationship between GGT and ALP levels and the risk of CVD mortality. High levels of GGT, ALP and AST/ALT were associated with an increased CVD mortality rate. © 2019 Wolters Kluwer Health, Inc. All rights reserved