Five-loop renormalisation of QCD in covariant gauges

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator $A^2$ as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.Comment: 17 pages; FORM and Mathematica result files available with the source; corrected minor typos, added references, journal ref, 1 remark, 1 note and 1 additional result fil

Employing ecotourism opportunities for sustainability in the Aral sea region: Prospects and challenges

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. The paper examines ecotourism in the Aral Sea region of Uzbekistan, an area with a fragile environment that has faced ecological crises and requires careful sustainable development. It looks at the supply side of ecotourism by examining Uzbekistani tour operators’ awareness of benefits derivable from promoting ecotourism in the region, and the local tourism industry’s motives to engage in this development. As a research methodology, the results of an exploratory survey of travel agents and tour operators highlight the policy-making and management interventions required for the more effective promotion and development of ecotourism in the Aral Sea region. The paper analyzes the challenges and opportunities associated with promoting ecotourism activities in the Aral Sea region in pursuit of sustainable regional development, improved livelihood for the local population, employment opportunity and income source creation, and enriched service exports. Key findings from the study show that stakeholders are aware of ecotourism’s value and are motivated to implement ecotourism in the region, but they have limited experience, competence, and international networks to promote and market ecotourism products and services. Local stakeholders have raised the issue that infrastructure development and access to microfinance are their greatest needs from local authorities in Uzbekistan

Looking through the QCD conformal window with perturbation theory

We study the conformal window of QCD using perturbation theory, starting from the perturbative upper edge and going down as much as we can towards the strongly coupled regime. We do so by exploiting the available five-loop computation of the $overline{{m MS}}$ $eta$-function and employing Borel resummation techniques both for the ordinary perturbative series and for the Banks-Zaks conformal expansion. Large-$n_f$ results are also used. We argue that the perturbative series for the $overline{{m MS}}$ $eta$-function is most likely asymptotic and non-Borel resummable, yet Borel resummation techniques allow to improve on ordinary perturbation theory. We find substantial evidence that QCD with $n_f=12$ flavours flows in the IR to a conformal field theory. Though the evidence is weaker, we find indications that also $n_f=11$ might sit within the conformal window. We also compute the value of the mass anomalous dimension $gamma$ at the fixed point and compare it with the available lattice results. The conformal window might extend for lower values of $n_f$, but our methods break down for n_f<11, where we expect that non-perturbative effects become important. A similar analysis is performed in the Veneziano limit

Large scale analytic calculations in quantum field theories

We present a survey on the mathematical structure of zero- and single scale quantities and the associated calculation methods and function spaces in higher order perturbative calculations in relativistic renormalizable quantum field theories.Comment: 25 pages Latex, 1 style fil

Exploring the similarities and differences between medical assessments of competence and criminal responsibility

The medical assessments of criminal responsibility and competence to consent to treatment are performed, developed and debated in distinct domains. In this paper I try to connect these domains by exploring the similarities and differences between both assessments. In my view, in both assessments a decision-making process is evaluated in relation to the possible influence of a mental disorder on this process. I will argue that, in spite of the relevance of the differences, both practices could benefit from the recognition of this similarity. For cooperative research could be developed directed at elucidating exactly how various mental disturbances can affect decision-making processes

Free will and mental disorder: Exploring the relationship

A link between mental disorder and freedom is clearly present in the introduction of the fourth edition of the Diagnostic and Statistical Manual of Mental Disorders (DSM-IV). It mentions “an important loss of freedom” as one of the possible defining features of mental disorder. Meanwhile, it remains unclear how “an important loss of freedom” should be understood. In order to get a clearer view on the relationship between mental disorder and (a loss of) freedom, in this article, I will explore the link between mental disorder and free will. I examine two domains in which a connection between mental disorder and free will is present: the philosophy of free will and forensic psychiatry. As it turns out, philosophers of free will frequently refer to mental disorders as conditions that compromise free will and reduce moral responsibility. In addition, in forensic psychiatry, the rationale for the assessment of criminal responsibility is often explained by referring to the fact that mental disorders can compromise free will. Yet, in both domains, it remains unclear in what way free will is compromised by mental disorders. Based on the philosophical debate, I discuss three senses of free will and explore their relevance to mental disorders. I conclude that in order to further clarify the relationship between free will and mental disorder, the accounts of people who have actually experienced the impact of a mental disorder should be included in future research

A Naturally Occurring Plant Cysteine Protease Possesses Remarkable Toxicity against Insect Pests and Synergizes Bacillus thuringiensis Toxin

When caterpillars feed on maize (Zea maize L.) lines with native resistance to several Lepidopteran pests, a defensive cysteine protease, Mir1-CP, rapidly accumulates at the wound site. Mir1-CP has been shown to inhibit caterpillar growth in vivo by attacking and permeabilizing the insect's peritrophic matrix (PM), a structure that surrounds the food bolus, assists in digestion and protects the midgut from microbes and toxins. PM permeabilization weakens the caterpillar defenses by facilitating the movement of other insecticidal proteins in the diet to the midgut microvilli and thereby enhancing their toxicity. To directly determine the toxicity of Mir1-CP, the purified recombinant enzyme was directly tested against four economically significant Lepidopteran pests in bioassays. Mir1-CP LC50 values were 1.8, 3.6, 0.6, and 8.0 ppm for corn earworm, tobacco budworm, fall armyworm and southwestern corn borer, respectively. These values were the same order of magnitude as those determined for the Bacillus thuringiensis toxin Bt-CryIIA. In addition to being directly toxic to the larvae, 60 ppb Mir1-CP synergized sublethal concentrations of Bt-CryIIA in all four species. Permeabilization of the PM by Mir1-CP probably provides ready access to Bt-binding sites on the midgut microvilli and increases its activity. Consequently, Mir1-CP could be used for controlling caterpillar pests in maize using non-transgenic approaches and potentially could be used in other crops either singly or in combination with Bt-toxins