4,646 research outputs found
Weyl Covariance and the Energy Momentum Tensors of Higher-Derivative Free Conformal Field Theories
No full textEnergy momentum tensors of higher-derivative free scalar conformal field
theories in flat spacetime are discussed. Two algorithms for the computation of
energy momentum tensors are described, which accomplish different goals: the
first is brute-force and highlights the complexity of the energy momentum
tensors, while the second displays some features of their geometric origin as
variations of Weyl invariant curved-space actions. New compact expressions for
energy momentum tensors are given and specific obstructions to defining them as
conformal primary operators in some spacetime dimensions are highlighted. Our
discussion is also extended to higher-derivative free spinor theories, which
are based on higher-derivative generalizations of the Dirac action and provide
interesting examples of conformal field theories in dimension higher than two.Comment: 29 pages, 2 tables; v2: new section on unitarity of 2- and 3-pf; v3:
further clarifications, to appear in JHE
Stylos kai edraiōma tēs ekklēsias, sive, Dissertatio de iustificatione hominis
No full textquam ... sub praesidio ... Ioh. Henrici Heideggeri ... placido eruditorum examini subiicit Andreas Steinerus, Vitod. author & respondens, ad diem Octobris loco horisque solitisDiss. Hohe Schule Zürich, 167
Implications of ANEC for SCFTs in four dimensions
Full text linkWe explore consequences of the Averaged Null Energy Condition (ANEC) for
scaling dimensions of operators in four-dimensional
superconformal field theories. We show that in many cases the ANEC bounds are
stronger than the corresponding unitarity bounds on . We analyze in
detail chiral operators in the Lorentz representation and prove
that the ANEC implies the lower bound , which is stronger
than the corresponding unitarity bound for j>1. We also derive ANEC bounds on
operators obeying other possible shortening conditions, as well
as general operators not obeying any shortening condition. In
both cases we find that they are typically stronger than the corresponding
unitarity bounds. Finally, we elucidate operator-dimension constraints that
follow from our results for multiplets of
superconformal theories in four dimensions. By recasting the ANEC as a convex
optimization problem and using standard semidefinite programming methods we are
able to improve on previous analyses in the literature pertaining to the
nonsupersymmetric case
Author: Andreas Johannis Prytz
No full textAn edition of the consecration sermons in Gothenburg Cathedral 1633 by Superintendent Andreas Johannis Prytz, with introductory comments. The first sermon deals with the need for Church buildings, the second with the consecration of a new Church
We must combine conservation of nature with benefits to society. Interview by Gaby Allheilig with Andreas Heinimann on IPBES' Global Assessment Report on Biodiversity and Ecosystem Services
No full textOn 6 May 2019, the Intergovernmental Science-Policy Platform on Biodiversity and Ecosystem Services (IPBES) presented its report on the state of biodiversity and ecosystem services worldwide. The first such assessment since 2005, it concludes that biodiversity and ecosystem loss has reached the point where it threatens human well-being. The researchers involved recommend several urgent measures to political decision-makers. Andreas Heinimann of CDE was the one Swiss scientist who worked as a lead author on a chapter of the report
Symplectic critical models in 6+ϵ dimensions
No full textAbstractWe consider nontrivial critical models in d=6+ϵ spacetime dimensions with anticommuting scalars transforming under the symplectic group Sp(N). These models are nonunitary, but the couplings are real and all operator dimensions are positive. At large N we can take ϵ→1 consistently with the loop expansion and thus provide evidence that these theories may be used to define critical models in d=7. The relation of these theories to critical Sp(N) theories, defined similarly to the well-known critical O(N) theories, is examined, and some similarities are pointed out
To athanaton tēs psychēs, sive, Dissertatio de animae immortalitate, ex naturae & sanae rationis lumine demonstrata
No full textquam ... sub praesidio ... Iohannis Lavateri ... publicae ac placidae disquisitioni submittit Andreas Steinerus, Vitod. author & respondens ...Dedikation an Johannes Lavater, Jacob Meyer, Joh. Jacob Schaedler und Jacob Hegner auf dem Titelbl. versoDiss. Hohe Schule Zürich, 167
Heavy Handed Quest for Fixed Points in Multiple Coupling Scalar Theories in the Expansion
Full text linkThe tensorial equations for non trivial fully interacting fixed points at
lowest order in the expansion in and
dimensions are analysed for -component fields and
corresponding multi-index couplings which are symmetric tensors with
four or six indices. Both analytic and numerical methods are used. For
in the four-index case large numbers of irrational fixed points are
found numerically where is close to the bound found by Rychkov
and Stergiou in arXiv:1810.10541. No solutions, other than those already known,
are found which saturate the bound. These examples in general do not have
unique quadratic invariants in the fields. For the stability
matrix in the full space of couplings always has negative eigenvalues. In the
six index case the numerical search generates a very large number of solutions
for .Comment: 50 pages, 6 figures. v2: 53 pages, 6 figures; Expanded discussion of
N=4 case including splitting of fixed point at order ; v4:
Minor corrections and addition
Family Virtues and Social Critique: Andreas Latzko’s Anti-War Prose (1917-1918)
No full textBetween 1917 and 1918, the Austro-Hungarian author Andreas Latzko (1876-1943) wrote three separate publications against the Great War: Menschen im Krieg (1917), Friedensgericht (1918), and Der letzte Mann (published 1919). Literary historians tend to bypass these works, and the few who note them chiefly focus on the best-selling novella cycle Menschen im Krieg (1917). It is usually presented as an example of expressionist political prose, or as a mixture of social satire and aesthetic shock-tactics that chiefly remains indebted to realist traditions, albeit with occasional incursions into expressionistic styles..
Scale and conformal invariance in higher derivative shift symmetric theories
Full text linkThe critical behavior of infinite families of shift symmetric interacting theories with higher derivative kinetic terms (non unitary) is considered. Single scalar theories with shift symmetry are classified according to their upper critical dimensions and studied at the leading non trivial order in perturbation theory. For two infinite families, one with quartic and one with cubic interactions, beta functions, criticality conditions and universal anomalous dimensions are computed. At the order considered, the cubic theories enjoy a one loop non renormalization of the vertex, so that the beta function depends non trivially only on the anomalous dimension. The trace of the energy momentum tensor is also investigated and it is shown that these two families of QFTs are conformally invariant at the fixed point of the RG flow
- …
