Annals Of Physics Research Articles

Generalized multifractality at the spin quantum Hall transition: Percolation mapping and pure-scaling observables

This work extends the analysis of the generalized multifractality of critical eigenstates at the spin quantum Hall transition in two-dimensional disordered superconductors [J. F. Karcher et al, Annals of Physics, 435, 168584 (2021)]. A mapping to classical percolation is developed for a certain set of generalized-multifractality observables. In this way, exact analytical results for the corresponding exponents are obtained. Furthermore, a general construction of positive pure-scaling eigenfunction observables is presented, which permits a very efficient numerical determination of scaling exponents. In particular, all exponents corresponding to polynomial pure-scaling observables up to the order $q=5$ are found numerically. For the observables for which the percolation mapping is derived, analytical and numerical results are in perfect agreement with each other. The analytical and numerical results unambiguously demonstrate that the generalized parabolicity (i.e., proportionality to eigenvalues of the quadratic Casimir operator) does not hold for the spectrum of generalized-multifractality exponents. This excludes Wess-Zumino-Novikov-Witten models, and, more generally, any theories with local conformal invariance, as candidates for the fixed-point theory of the spin quantum Hall transition. The observable construction developed in this work paves a way to investigation of generalized multifractality at Anderson-localization critical points of various symmetry classes.

Experimental investigation of distributions of the off-diagonal elements of the scattering matrix and Wigner's K[over ̂] matrix for networks with broken time reversal invariance.

We present an extensive experimental study of the distributions of the real and imaginary parts of the off-diagonal elements of the scattering matrix S[over ̂] and the Wigner's reaction K[over ̂] matrix for open microwave networks with broken time (T) reversal invariance. Microwave Faraday circulators were applied in order to break T invariance. The experimental distributions of the real and imaginary parts of the off-diagonal entries of the scattering matrix S[over ̂] are compared with the theoretical predictions from the supersymmetry random matrix theory [A. Nock, S. Kumar, H.-J. Sommers, and T. Guhr, Ann. Phys. (NY) 342, 103 (2014)10.1016/j.aop.2013.11.006]. Furthermore, we show that the experimental results are in very good agreement with the recent predictions for the distributions of the real and imaginary parts of the off-diagonal elements of the Wigner's reaction K[over ̂] matrix obtained within the framework of the Gaussian unitary ensemble of random matrix theory [S.B. Fedeli and Y.V. Fyodorov, J. Phys. A: Math. Theor. 53, 165701 (2020)1751-811310.1088/1751-8121/ab73ab]. Both theories include losses as tunable parameters and are therefore well adapted to the experimental verification.

Notice of Retraction “U(1) gauged model of FJ-type chiral boson based on Batalin–Fradkin–Vilkovisky formalism”

This article has been retracted due to overlapping of its result with an earlier published article [Annals of Physics, Vol. 383 (2017) 497-510].

RETRACTED: Evaporation screening and shielding in accelerating and rotating black holes

This article has been retracted: please see Elsevier Policy on Article Withdrawal ( https://www.elsevier.com/about/our-business/policies/article-withdrawal ). This article has been retracted at the request of the Editor. The paper constitutes a case of plagiarism of the originating article https://link.springer.com/article/10.1140/epjc/s10052-016-4028-6 . The authors’ paper in Annals of Physics is slightly more general than the original article by McCaughey, as they consider accelerating and rotating black holes, while McCaughey focuses on Kerr black holes. However, the level of overlap and similarities is unmistakable. The two papers follow nearly the same logical structure, presentation and results. The figures are virtually identical, including choice of parameters and colour scheme. Annals of Physics would like to apologize to our readers for this oversight.

Approximate Reformulation a Recent Non-Renormalizable QFT’s Methodology and Einstein’s Gravity

We revisit, advancing a useful approximation, a recently formulated QFT treatment that successfully overcomes any troubles with infinities for non-renormalizable QFTs [J. Phys. Comm. 2 115029 (2018)]. Such methodology was able to successfully deal, in non-relativistic fashion, with Newton’s gravitation potential [Annals of Physics 412, 168013 (2020)]. Our present approximation to the QFT method of [J. Phys. Comm. 2 115029 (2018)] is based on the Einstein’s Lagrangian (EG) elaborated by Gupta [1], save for a different constraint’s selection. This choice allows one to avoid the lack of unitarity for the S matrix that impaired the proceedings of Gupta and Feynman. Moreover, we are able to simplify the handling of such constraint by eliminating the need to involve ghosts for guarantying unitarity. Our approximation consists in setting the graviton field ∅μν=γμν∅, where γμν is a constant tensor and ∅ a scalar (graviton) field. The ensuing approximate approach is non-renormalizable, an inconvenience that we are able to overcome in [J. Phys. Comm. 2 115029 (2018)].

On the experimental feasibility of continuous-variable optical entanglement distillation

Entanglement distillation aims at preparing highly entangled states out of a supply of weakly entangled pairs, using local devices and classical communication only. In this note we discuss the experimentally feasible schemes for optical continuous-variable entanglement distillation that have been presented in [D.E. Browne, J. Eisert, S. Scheel, and M.B. Plenio, Phys. Rev. A 67, 062320 (2003)] and [J. Eisert, D.E. Browne, S. Scheel, and M.B. Plenio, Annals of Physics (NY) 311, 431 (2004)]. We emphasize their versatility in particular with regards to the detection process and discuss the merits of the two proposed detection schemes, namely photo-detection and homodyne detection, in the light of experimental realizations of this idea becoming more and more feasible.

MicroReviews by the Book Review Editor: Black Bodies and Quantum Cats: Tales from The Annals of Physics: Jennifer Ouellette

First Page

RETRACTED: Perturbative analysis of multiple-field cosmological inflation

This article has been retracted at the request of the Authors. Please see http://www.elsevier.com/locate/withdrawalpolicy . Reason: The authors' statement, accepted by the Editors, is as follows: We recently [1] published a paper in Annals of Physics, which discussed at length the gauge independent analysis of cosmological perturbations of multiple fields using the ADM equations extended to first order in slow roll approximation. As is appropriate for a broadly-based journal such as this, we gave a pedagogical presentation of the method, based on earlier work by Hwang, Noh, Nibbelink and Van Tent (given as references [22], [25], [29], [30] in our article). However, we did not make sufficiently clear the extent to which our own contribution paralleled ones given in these earlier works. This seems to have given an impression that the results, that were already given in various parts of the literature cited in our reference and [22] in particular, were our own. In order to avoid misunderstanding on this point, we wish to withdraw the paper.

MO‐C‐T‐6E‐04: Einstein 1905 and Beyond: The “Revolutionary” Paper, Plus Four, Plus Five

In the short duration of six months, one week, and two days, Einstein, in 1905, wrote five papers that stand today at the bedrock of physics. Only one of these papers was, according to Einstein himself, revolutionary. This paper, on the nature of light, made him the father of quantum physics. In the other four papers, Einstein clearly eschewed trivialities as he demonstrated the reality of atoms and examined their dimensions (the reality of atoms was still debated in 1905), put the laws of thermodynamics on a new footing as he established the validity of the kinetic theory, enhanced the significance of the speed of light, and purged the basic concepts of space, time, mass, and energy of profound fallacies. But Einstein did not retire after 1905. He continued a career that, in sum, stands alone in the annals of physics.

“Path integral quantization of field theories with second-class constraints” by P. Senjanovic [Annals of physics 100 (1976) 227] and “Constraint algebra in massless and massive Yang–Mills theories”, Erratum by Y-g. Miao [Annals of Physics 209 (1991) 248

“Path integral quantization of field theories with second-class constraints” by P. Senjanovic [Annals of physics 100 (1976) 227] and “Constraint algebra in massless and massive Yang–Mills theories”, Erratum by Y-g. Miao [Annals of Physics 209 (1991) 248

Ein bisher unveröffentlichter Brief von Rudolf Kohlrausch and Andreas v. Ettingshausen von 1854, das Kohlrausch-Weber-Experiment von 1854/55 und die Lichtgeschwindigkeit in Wilhelm Webers Elektrodynamik

The reason for this letter was a belated delivery of the sinuselectrometer to the Austrian mathematician and physicist A.v. Ettingshausen in Vienna. The instrument was designed by R. Kohlrausch and made by the mechanic of the university in Marburg. By means of ths instrument the relations of charges could be measured. At the end of the letter Kohlrausch reported on the experiment made together with Wilhelm Weber for the determination of the relation between the absolute electrostatic and electromagnetic measured charges. The result was the velocity of light, but not perceived as such by Weber and Kohlrausch. In 1857 G. R. Kirchhoff was the first to define the connection between C w and C l ( $$c_w = \sqrt 2 \cdot c_L $$ ). for a better understanding the dimensions of the Triple-Systems (Dreiersysteme) are used in the article. A. v. Ettingshausen was in close contact with the university of Gottingen and published the results of C. F. Gauss' and Weber's research work in the Danubian monarchy at an early time. When in 1857 Kirchhoff presented his two important works on the undulatory motion of electricity in conductors to J. C. Poggendorff, the editor of the Annals of Physics and Chemistry—Kirchhoff's works contain a preliminary form of the telegraph-equations—it became apparent that W. Weber and R. Kohlrausch had almost brought about a similar work and had come to the same result as Kirchhoff. On account of Kohlrausch's death in 1858 W. Weber was forced to finish the work by himself and published it only 1864 entitled “Uber elektrische Schwingungen”. 1861 Maxwell at once discerned the velocity of light in the result and was now able to develop his elctromagnetic theory of light.

RETRACTED: Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy

This article has been retracted at the request of the authors.Reason: Because of an inadvertent mix-up on their part, the article was submitted to, and accepted by, both Annals of Physics and Physical Review D simultaneously. This withdrawal does not in any way reflect on the scientific merit of the work.

Conserved currents, superpotentials and cosmological perturbations

Conserved currents, superpotentials and cosmological perturbations

Orbit bifurcations and the scarring of wave functions

Orbit bifurcations and the scarring of wave functions

On the Number of Moments in Radiative Transfer Problems

In a recent paper (Struchtrup, Annals of Physics,257, 1997) we set up an extended moment method for radiative transfer problems, which involves matrices of mean absorption and scattering coefficients. In the present paper, we examine the resulting moment equations for one-dimensional radiative transfer problems. In particular we are interested in the number of moments which one has to choose in order to have satisfactory agreement between solutions of the moment equations and solutions of the radiative transfer equation. We show that the moment theory will describe a one-dimensional beam properly, if moments with a tensorial rank of about 30 are taken into account.

Multidimensional extremal dilatonic black holes in string-like model with cosmological term

A string-like model with the “cosmological constant” Λ is considered. The Maki-Shiraishi multi-black-hole solution [T. Maki and K. Shiraishi, Progress of Theoretical Physics 90 (1993) 1259] is generalized to space-times with a Ricci-flat internal space. For Λ = 0 the obtained solution in the one-black-hole case is shown to coincide with the extreme limit of the charged dilatonic black hole solution [U. Bleyer and V.D. Ivashchuk, Phys. Lett. B 332 (1994) 282; U. Bleyer, K.A. Bronnikov, S.B. Fadeev and V.N. Melnikov, Astron. Nachr. 315 (1994) 393; K.A. Bronnikov and V.N. Melnikov, Annals of Physics (N.Y.) 239 (1995) 40; K.A. Bronnikov, Gravitation and Cosmology 1 (1995) 67]. The Hawking temperature TH for the solution [U. Bleyer and V.D. Ivashchuk, Phys. Lett. B 332 (1994) 292; U. Bleyer, K.A. Bronnikov, S.B. Fadeev and V.N. Melnikov, Astron. Nachr. 315 (1994) 393; K.A. Bronnikov and V.N. Melnikov, Annals of Physics (N.Y.) 239 (1995) 40; K.A. Bronnikov, Gravitation and Cosmology 1 (1995) 67] is presented and its extreme limit is considered. For the string value of dilatonic coupling the temperature TH does not depend upon the internal space dimension.

A FULL-ACCEPTANCE DETECTOR FOR SSC PHYSICS AT LOW AND INTERMEDIATE MASS SCALES: AN EXPRESSION OF INTEREST TO THE SSC

A FULL-ACCEPTANCE DETECTOR FOR SSC PHYSICS AT LOW AND INTERMEDIATE MASS SCALES: AN EXPRESSION OF INTEREST TO THE SSC

Anomalous Redshifts of QSOs

The evidence for association of high redshift QSOs with low redshift galaxies is subject to controversies. If it can be convincingly argued that the observed associations are accidental and could occur with reasonably high probabilities (say > 5%) then the cosmological interpretation of the redshifts of QSOs remains unaffected by the data. If, however, there is increasing evidence, either statistically or in direct physical terms, for these associations to be real, then the excess redshifts of the QSOs become anomalous. Taking the latter alternative seriously, a suggestion was made by Narlikar (Annals of Physics, 107, 325, 1977) that the anomalous redshift of the QSO in a typical QSO-galaxy pair could arise because the particle masses in the QSO were systematically smaller than those in the companion galaxy, as predicted by a theory of gravitation based on Mach's principle. One astrophysical consequence of this effect is that the QSO should appear younger than the galaxy.

Nuclear Particle and Many Body Physics Vols 1, 2

P M Morse, B T Field, H Feshback and R Wilson (eds) New York: Academic Press 1972 vol 1: pp xxi + 693 price £9.50, vol2: pp xxi + 931 price £12.60 The contents of these volumes appeared as papers in Annals of Physics in volumes 63,66 and 69, published during 1971 and early in 1972. These papers were dedicated to the memory of Amos de-Shalit, who died in September 1969, by his many friends and colleagues.

Díffraction of scalar high frequency waves by a circular diaphragm: Westpfahl, K., Witte. H.H. Annals of Physics (Germany), Vol 20, Nos 1–2 (1968) pp 14–28 (In German) (960)

Díffraction of scalar high frequency waves by a circular diaphragm: Westpfahl, K., Witte. H.H. Annals of Physics (Germany), Vol 20, Nos 1–2 (1968) pp 14–28 (In German) (960)