A New RSOS Restriction of the Zhiber-Mikhailov-Shabat Model and Φ(1,5)\Phi_{(1,5)} Perturbations of Nonunitary Minimal Models

The RSOS restriction of the Zhiber-Mikhailov-Shabat (ZMS) model is investigated. It is shown that in addition to the usual RSOS restriction, corresponding to $\Phi_{(1,2)}$ and $\Phi_{(2,1)}$ perturbations of minimal CFT, there is another one which yields $\Phi_{(1,5)}$ perturbations of non-unitary minimal models. The new RSOS restriction is carried out and the particular case of the minimal models ${\cal M}_{(3,10)}$, ${\cal M}_{(3,14)}$ and ${\cal M}_{(3,16)}$ is discussed in detail. In the first two cases, while the mass spectra of the two RSOS restrictions are the same, the bootstrap systems and the detailed amplitudes are different. In the third case, even the spectra of the two RSOS restrictions are different. In addition, for ${\cal M}_{(3,10)}$ an interpretation in terms of the tensor product of two copies of ${\cal M}_{(2,5)}$ is given.Comment: several typos corrected; error in (3,14) S-matrix found and corrected; the introductory section on RSOS restriction is rewritten. The exposition is changed at some points to improve clarity and reference to 'duality' is avoide

Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix elements, for which we provide explicit formulas. For special values of the exponent, computations by other methods are available and used to validate our findings. Our results can also be interpreted as a further support for a previous conjecture about the connection between finite- and infinite-volume form factors valid up to terms exponentially decaying in the volume.Comment: 24 pages, 15 figure

The Importance and Role of Trust in Agricultural Co-operation – Some Empirical Experiences from Hungary

This paper examines the relations of trust in agricultural cooperation from two aspects. On the one hand, it gives a short review of relevant literature, with special regard to agri-food economy. On the other hand, it uses the results of empirical survey for the analysis of trust in machinery sharing arrangements of Hungarian agricultural producers. In connection with this, the trust is examined in two dimensions: contractual and competence trust. Our results prove that there is a positive correlation between the level of trust and the farmers’ activity in cooperative agreements. It could also be proved that the trust need is very different in the different fields of cooperation. It is a tendency that the contractual trust is more important in more intensive, higher-dependence cooperation activities, while competence trust becomes into the foreground in the more extensive solutions.Agribusiness,

Farm Inputs and Agri-Environment Measures as Indicators of Agri-Environment Quality in Hungary

The paper deals with agri-environmental indicators, examines farm inputs, on the basis of statistical data of the Organisation for Economic Co-operation and Development (OECD) (Szabo, Pomazi 2002) and the Eurostat (2004). The examined indicators are placed in the agricultural DPSIR model. The paper presents how the use of farm inputs changed in Hungary from 1980-2000. Farm inputs are related to the inputs of the EU-15, the study demonstrates that today they are below the EU- 15 average. Area under agri-environmental measures in 2003 - which covered the 4% of agricultural area of Hungary - as a response indicator is also presented and based in the land-use zone system developed by Godollo Agricultural University (Angyan et al., 1998).agri-environmental measures, farm inputs, indicators, Environmental Economics and Policy, Q01,

NLIE for hole excited states in the sine-Gordon model with two boundaries

We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the Luscher formula.Comment: 31 pages, LaTeX; graphicx, epstopdf, 4 figure

Note on the name of king Narmer

The name of Narmer (n'r-mr), king of Upper Egypt in the late predynastic period (ab. 3000 B. C.), has remained a mystery for long millennia. The first component of the name is clearly identical with n'r "Weis (catfish)" (OK, Med., Gr., Wb II 209, 2-6). But the second element -mr has so far been lacking a reliable and convincing etymological explanation on the Egyptian lexical material. In this brief paper we attempt to give a solution for the second component of the name in the Common Afrasian (Semito-Hamitic) lexical material. First, we can also admit that the Egyptian vocabulary does not help too much to clarify -mr, as there is no Egyptian word to fit in the name

Out-of-horizon correlations following a quench in a relativistic quantum field theory

One of the manifestations of relativistic invariance in non-equilibrium quantum field theory is the "horizon effect" a.k.a. light-cone spreading of correlations: starting from an initially short-range correlated state, measurements of two observers at distant space-time points are expected to remain independent until their past light-cones overlap. Surprisingly, we find that in the presence of topological excitations correlations can develop outside of horizon and indeed even between infinitely distant points. We demonstrate this effect for a wide class of global quantum quenches to the sine-Gordon model. We point out that besides the maximum velocity bound implied by relativistic invariance, clustering of initial correlations is required to establish the "horizon effect". We show that quenches in the sine-Gordon model have an interesting property: despite the fact that the initial states have exponentially decaying correlations and cluster in terms of the bosonic fields, they violate the clustering condition for the soliton fields, which is argued to be related to the non-trivial field topology. The nonlinear dynamics governed by the solitons makes the clustering violation manifest also in correlations of the local bosonic fields after the quench.Comment: 19+14 pages, 8 figures, pdflatex, v2: presentation substantially improved, new details concerning the effect are added, v3: reformatted version, references added, results and essential conclusions unchanged, with title update

Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium

Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable models. This has recently become an experimentally relevant problem, due to progress in cold-atom experiments simulating QFT models and directly measuring higher order correlations. Here we compute correlation functions of the quantum sine-Gordon model, a prototype integrable model of central interest from both theoretical and experimental points of view. Building upon the so-called Truncated Conformal Space Approach, we numerically construct higher order correlations in a system of finite size in various physical states of experimental relevance, both in and out of equilibrium. We measure deviations from Gaussianity due to the presence of interaction and analyse their dependence on temperature, explaining the experimentally observed crossover between Gaussian and non-Gaussian regimes. We find that correlations of excited states are markedly different from the thermal case, which can be explained by the integrability of the system. We also study dynamics after a quench, observing the effects of the interaction on the time evolution of correlation functions, their spatial dependence, and their non-Gaussianity as measured by the kurtosis.Comment: Animation of quench dynamics in ancillary material: https://arxiv.org/src/1802.08696/anc/animation.mp4 Version 2: Improved presentation; Version 3: Final version after the peer review proces

Isolated large amplitude periodic motions of towed rigid wheels

This study investigates a low degree-of-freedom (DoF) mechanical model of shimmying wheels. The model is studied using bifurcation theory and numerical continuation. Self-excited vibrations, that is, stable and unstable periodic motions of the wheel, are detected with the help of Hopf bifurcation calculations. These oscillations are then followed over a large parameter range for different damping values by means of the software package AUTO97. For certain parameter regions, the branches representing large amplitude stable and unstable periodic motions become isolated following an isola birth. These regions are extremely dangerous from an engineering view-point if they are not identified and avoided at the design stage.Comment: Appeared online in Nonlinear Dynamics Thursday, April 26, 200