We perform a one-loop calculation of the vacuum energy tachyon field in anti de-Sitter space with boundary conditions corresponding to presence double-trace operator dual theory. Such an can lead renormalization group flow between two different conformal theories related each other by Legengre transformation large N limit. The enables us verify holographic c-theorem one step beyond classical supergravity approximation.

We exhibit a tachyonic mode in linearized analysis of perturbations large anti-de Sitter Reissner-Nordstrom black holes four dimensions. In the hole limit, and up to 0.7% discrepancy which is probably round-off error numerical analysis, tachyon appears precisely when becomes thermodynamically unstable.

Validation of quantitative structure-activity relationship (QSAR) models plays a key role for the selection robust and predictive that may be employed further activity prediction new molecules. Traditionally, QSAR are validated based on classical metrics internal (Q2) external validation (R2 pred). Recently, it has been shown data sets with wide range response variable, these traditional tend to achieve high values without truly reflecting absolute differences between observed predicted...

We study the stability of Freund-Rubin compactifications, AdS_p x M_q, p+q-dimensional gravity theories with a q-form field strength and no cosmological term. show that general S^q vacuum is classically stable against small fluctuations, in sense all modes satisfy Breitenlohner-Freedman bound. In particular, compactifications used recent discussion proposed bosonic M-theory are perturbatively stable. Our analysis treats arising from graviton q-form, completely independent supersymmetry. From...

We demonstrate explicit counterexamples to the correlated stability conjecture (CSC), which claims that horizon of a black brane is unstable precisely if has thermodynamic instability, meaning its matrix susceptibilities negative eigenvalue. These examples involve phase transitions near horizon. Ways restrict or revise CSC are suggested. One our shows $\mathcal{N}={1}^{*}$ gauge theory second-order chiral symmetry breaking transition at temperature well above confinement scale.

Various regularization schemes used in quantum field theory, including the widely dimensional scheme, and concept of renormalization, are introduced through study scattering from an attractive Dirac delta potential more than one dimension. This is expected to make such advanced concepts techniques available enthusiastic beginners within realm elementary mechanics.

We propose various ways of adding mass terms to three-dimensional twistor string theory. begin with a review mini-twistor space---the reduction $D=4$ space $D=3$. adapt the two proposals for theory, Witten's and Berkovits's, $D=3$ super Yang-Mills In Berkovits's model, we identify enhanced R symmetry. then construct B-model topological theories that, propose, correspond theory massive spinors massless scalars in adjoint representation gauge group. also analyze counterparts these...

It is demonstrated that there are smooth Yang-Mills potentials which correspond to monopoles and vortices of one-half winding number. They the generic configurations, in contrast integral number configurations like 't Hooft-Polyakov monopole.

We consider the evaluation of D-dimensional conformal invariant integrals which involve spin one-half and spin-one particles. The star–triangle relation for massless Yukawa theory is derived, longitudinal part three-point Green function QED determined to lowest order in position space. operator algebraic method calculating Feynman used evaluation.

The transverse part of the three-point Green's function massless QED is determined to lowest order in position space. Taken together with evaluation longitudinal Mitra (2008) (J. Phys. A: Math. Theor. 41 315401), this gives a relation for which analogous star-triangle relation. We relate our result conformal-invariant functions.

Assuming high temperature and taking subleading dependence into account, the gauge of one-loop electron dispersion relation is investigated in massless quantum electrodynamics (QED) at zero chemical potential. The analysis carried out using a general linear covariant gauge. equation governing obtained used to prove that independent limiting case momenta much larger than $\mathrm{eT}.$ It also shown effective mass not influenced by leading dependent part self-energy. As result, mass, which...

Instability in the scalar channel of fermion-antifermion scattering amplitude massless QED_3 for number flavours less than critical value 128/3π^2 is demonstrated. The anomalous dimensions gauge-invariant composite operators are determined to O(1/N). Exponentiation O(1/N) infrared logarithm explicitly demonstrated by evaluating contribution ladder diagrams.

Using the Zumino identities it is shown that in a class of non-local gauges, massless QED3 has an infrared behaviour conformal field theory with continuously varying anomalous dimension fermion. In usual Lorentz gauge, fermion propagator falls off exponentially for large separation, but this apparent mass gauge artifact.

Generalizing Deser's work on pure $SU(2)$ gauge theory, we consider scalar, spinor and vector matter fields transforming under arbitrary representations of a non-Abelian, compact, semisimple internal Lie group which is global symmetry their actions. These are coupled to Abelian through the process iterative N\"other coupling. This procedure shown yield precisely same locally invariant theory (with non-Abelian as group) obtained by usual minimal coupling prescription originating from Gauge...

Abstract Immobilized heparins were prepared by six different methods, and these utilized for affinity purification of human antithrombin III (AT‐III). Affinity support capacities (mg AT‐III/g support) strongly influenced immobilized active heparin concentrations. In the temperature range 5–37°C, colder temperatures favored adsorption AT‐III as well nonspecific interactions all proteins. For representative human‐plasma‐derived feed solutions selectivity on was dependent relative...