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Wed, 07 Mar 2001 00:00:00 +0200Wed, 07 Mar 2001 00:00:00 +0200The Roughening Transition of the 3D Ising Interface: A Monte Carlo Study
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1313
Abstract: We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid models. The basic idea is the matching of the renormalization-groupflow of the interface with that of the exactly solvable body centered cubic solid on solid model. We unambiguously confirm the Kosterlitz-Thouless nature of the roughening transition of the Ising interface. Our result for the inverse transition temperature K_R = 0.40754(5) is almost by two orders of magnitude more accurate than the estimate of Mon, Landau and Stauffer [9].M. Hasenbusch; S. Meyer; M. Pützpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1313Tue, 03 Jul 2001 00:00:00 +0200The structure of the quantum mechanical state space and induced superselection rules
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1169
The role of superselection rules for the derivation of classical probability within quantum mechanics is investigated and examples of superselection rules induced by the environment are discussed.Joachim Kupschpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1169Mon, 25 Sep 2000 00:00:00 +0200Sigma models with A_k singularities in Euclidean spacetime of dimension 0<=D<4 and in the limit N->infinity
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1088
For the case of the single-O(N)-vector linear sigma models the critical behaviour following from any A_k singularity in the action is worked out in the double scaling limit N->infinity, f_r -> f_r^c, 2 <= r <= k. After an exact elimination of Gaussian degrees of freedom, the critical objects such as coupling constants, indices and susceptibility matrix are derived for all A_k and spacetime dimensions 0 <= D <= 4. There appear exceptional spacetime dimensions where the degree k of the singularity A_k is more strongly constrained than by the renormalizability requirement.J. Maeder; W. Rühlpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1088Thu, 06 Apr 2000 00:00:00 +0200The electron as a selfinteracting lightlike pointcharge: Classification of lightlike curves in spacetime under the group of SO(1,3) motions
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/863
Heinz Krügerarticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/863Mon, 03 Apr 2000 00:00:00 +0200A new look at the RST model
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/885
The RST model is augmented by the addition of a scalar field and a boundary term so that it is well-posed and local. Expressing the RST action in terms of the ADM formulation, the constraint structure can be analysed completely. It is shown that from the view point of local field theories, there exists a hidden dynamical field 1 in the RST model. Thanks to the presence of this hidden dynamical field, we can reconstruct the closed algebra of the constraints which guarantee the general invariance of the RST action. The resulting stress tensors TSigma Sigma are recovered to be true tensor quantities. Especially, the part of the stress tensors for the hidden dynamical field 1 gives the precise expression for tSigma . At the quantum level, the cancellation condition for the total central charge is reexamined. Finally, with the help of the hidden dynamical field 1, the fact that the semi-classical static soluti on of the RST model has two independent parameters (P,M), whereas for the classical CGHS model there is only one, can be explained.Jui-Qing Liang; H. J. W. Müller-Kirsten; F. Zimmerschied; Jiang-Ge Zhoupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/885Mon, 03 Apr 2000 00:00:00 +0200Significance of zero modes in path-integral quantization of solitonic theories with BRST invariance
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/886
The significance of zero modes in the path-integral quantization of some solitonic models is investigated. In particular a Skyrme-like theory with topological vortices in (1 + 2) dimensions is studied, and with a BRST invariant gauge fixing a well defined transition amplitude is obtained in the one loop approximation. We also present an alternative method which does not necessitate evoking the time-dependence in the functional integral, but is equivalent to the original one in dealing with the quantization in the background of the static classical solution of the non-linear field equations. The considerations given here are particularly useful in - but also limited to -the one-loop approximation.Jui-Qing Liang; H. J. W. Müller-Kirsten; F. Zimmerschied; Jiang-Ge Zhou; D. H. Tchrakianapreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/886Mon, 03 Apr 2000 00:00:00 +0200Quantisation of 2D-gravity with Weyl and area-preserving diffeomorphism invariances
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/887
The constraint structure of the induced 2D-gravity with the Weyl and area-preserving diffeomorphism invariances is analysed in the ADM formulation. It is found that when the area-preserving diffeomorphism constraints are kept, the usual conformal gauge does not exist, whereas there is the possibility to choose the so-called "quasi-light-cone" gauge, in which besides the area-preserving diffeomorphism invariance, the reduced Lagrangian also possesses the SL(2,R) residual symmetry. This observation indicates that the claimed correspondence between the SL(2,R) residual symmetry and the area-preserving diffeomorphism invariance in both regularisation approaches does not hold. The string-like approach is then applied to quantise this model, but a fictitious non-zero central charge in the Virasoro algebra appears. When a set of gauge-independent SL(2,R) current-like fields is introduced instead of the string-like variables, a consistent quantum theory is obtained, which means that the area-preserving diffeomorphism invariance can be maintained at the quantum level.J.-Q. Liang; H. J. W. Müller-Kirsten; Zhenjiu Zhang; J.-G. Zhou; Y.-G. Miaopreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/887Mon, 03 Apr 2000 00:00:00 +0200Batalin-Vilkovisky field-antifield quantisation of fluctuations around classical field configurations
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/888
The Lagrangian field-antifield formalism of Batalin and Vilkovisky (BV) is used to investigate the application of the collec- tive coordinate method to soliton quantisation. In field theories with soliton solutions, the Gaussian fluctuation operator has zero modes due to the breakdown of global symmetries of the Lagrangian in the soliton solutions. It is shown how Noether identities and local symmetries of the Lagrangian arise when collective coordinates are introduced in order to avoid divergences related to these zero modes. This transformation to collective and fluctuation degrees of freedom is interpreted as a canonical transformation in the symplectic field-antifield space which induces a time-local gauge symmetry. Separating the corresponding Lagrangian path integral of the BV scheme in lowest order into harmonic quantum fluctuations and a free motion of the collective coordinate with the classical mass of the soliton, we show how the BV approach clarifies the relation between zero modes, collective coordinates, gauge invariance and the center- of-mass motion of classical solutions in quantum fields. Finally, we apply the procedure to the reduced nonlinear O(3) oe-model.^LF. Zimmerschiedpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/888Mon, 03 Apr 2000 00:00:00 +0200Instanton Induced Tunneling Amplitude At Excited States With The LSZ Method
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/889
Quantum tunneling between degenerate ground states through the central barrier of a potential is extended to excited states with the instanton method. This extension is achieved with the help of an LSZ reduction technique as in field theory and may be of importance in the study of macroscopic quantum phenomena in magnetic systems.H. J. W. Müller-Kirsten; Jiu-Qing Liang; J.-G. Zhou; J. Burzlaffpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/889Mon, 03 Apr 2000 00:00:00 +0200Application of Instatons: Quenching Of Macroscopic Quantum Coherence And Macroscopic Fermi-Particle Configurations
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/890
Starting from the coherent state representation of the evolution operator with the help of the path-integral, we derive a formula for the low-lying levels E = ffl0 Gamma 24ffl cos(s + ,)ss of a quantum spin system. The quenching of macroscopic quantum coherence is understood as the vanishing of cos(s + ,)ss in disagreement with the suppression of tunneling (i.e. 4ffl = 0) as claimed in the literature. A new configuration called the macroscopic Fermi-particle is suggested by the character of its wave function. The tunne- ling rate ( 24fflss ) does not vanish, not for integer spin s nor for a half-integer value of s, and is calculated explicitly (for the position dependent mass) up to the one-loop approximation.H. J. W. Müller-Kirsten; Jiu-Qing Liang; Jian-Ge Zhoupreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/890Mon, 03 Apr 2000 00:00:00 +0200Batalin-Vilkovisky Field-Antifield Quantisation of Fluctuations around Classical Field Configurations;
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1067
F. Zimmerschiedpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1067Fri, 10 Mar 2000 00:00:00 +0100Suppression of the magnetocrystalline bulk anisotropy in thin epitaxial Co(110) films on Cu(110)
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/974
We report on an unexpected suppression of the magnetocrystalline anisotropy contribution in epitaxial fcc Co(110) films on Cu(110) below a thickness of dc=(50 +/- 10) Å. For film thicknesses larger than dc the measured anisotropy value agrees with published data. Measurements on films with reduced strain indicate a large strain dependence of dc . A model calculation based on a crystal-field formalism and discussed within the context of band theory, which explicitly takes tetragonal misfit strains into account, reproduces the experimen-tally observed anomalies. Our results indicate that the usually applied phenomenological description of anisotropies, assuming additive free energy terms for each anisotropy contribution, fails in this case.Burkard Hillebrands; Jürgen Fassbender; Jungblut R.M.; Güntherodt G.; Roberts D.J.; Gehring G.A.preprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/974Mon, 14 Feb 2000 00:00:00 +0100Structural relaxation and magnetic anisotropies in Co/Cu(001) films
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/946
The magnetic anisotropy of Co/Cu~001! films has been investigated by the magneto-optical Kerr effect, both in the pseudomorphic growth regime and above the critical thickness where strain relaxation sets in. A clear correlation between the onset of strain relaxation as measured by means of reflection high-energy electron diffraction and changes of the magnetic anisotropy has been found.W Weber; R.A. Bischof; R. Allenspach; C.H. Back; Jörg Fassbender; U. May; B. Schirmer; Jungblut R.M.; G. Güntherodt; Burkard Hillebrandspreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/946Thu, 10 Feb 2000 00:00:00 +0100Magnetic exchange coupling effects in asymmetric trilayer structures of MBE grown Co/Cr/Fe
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/952
We present results of anisotropy and exchange-coupling studies of asymmetric Co/Cr/Fe trilayers and superlattices grown by molecular beam epitaxy on Cr~001!/Mg~001! buffers and substrates. The magnetic properties have been investigated using both the longitudinal magneto-optical Kerr effect and ferromagnetic resonance. The hysteresis data obtained from the trilayer system were fit to a theoretical model which contains both bilinear and biquadratic coupling. The effective in-plane anisotropy was found to be of fourfold symmetry with the same easy-axis orientation for both the Fe and Co layers. An analysis of the easy-axis hysteresis loops indicates long-period oscillatory coupling and also suggests a short periodic coupling. We show that weakly antiferromagnetically coupled asymmetric films might serve as potential candidates for improved spin-valve systems.K. Theis-Bröhl; R. Scheidt; T. Zeidler; F. Schreiber; H. Zabel; T. Mathieu; C. Mathieu; Burkard Hillebrandspreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/952Thu, 10 Feb 2000 00:00:00 +0100