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We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose-Hubbard model, and the divergence exponents of its one- and two-particle correlation…

Statistical Mechanics · Physics 2018-03-14 Sören Sanders , Martin Holthaus

Given a scalar parameter $q$, the $q$-deformed Heisenberg algebra $\mathcal{H}(q)$ is the unital associative algebra with two generators $A,B$ that satisfy the $q$-deformed commutation relation $AB-qBA= I$, where $I$ is the multiplicative…

Rings and Algebras · Mathematics 2023-02-15 Rafael Reno S. Cantuba , Sergei Silvestrov

We investigate a description of shape-mixing and shape-transitions using collective coordinates. To that end we apply a theory of adiabatic large-amplitude motion to a simplified nuclear shell-model, where the approximate results can be…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

We show how to construct in an elementary way the invariant of the KHK discretisation of a cubic Hamiltonian system in two dimensions. That is, we show that this invariant is expressible as the product of the ratios of affine polynomials…

Numerical Analysis · Mathematics 2024-03-06 Giorgio Gubbiotti , David McLaren , G. R. W. Quispel

Quantum and q-deformed algebras find their application not only in mathematical physics and field theoretical context, but also in phenomenology of particle properties. We describe (i) the use of quantum algebras U_q(su_n) corresponding to…

High Energy Physics - Phenomenology · Physics 2011-07-19 A. M. Gavrilik

In the framework of Soft-Collinear Effective Theory, the jet quenching parameter, $\hat{q}$, has been evaluated by adding the effect of Glauber gluon interactions to the propagation of a highly-energetic collinear parton in a medium. The…

High Energy Physics - Phenomenology · Physics 2015-06-11 Michael Benzke , Nora Brambilla , Miguel Angel Escobedo , Antonio Vairo

The longitudinal structure function is considered at the next-to-leading order approximation using the expansion method, as defined by M.B.Gay Ducati and P.B.Goncalves [Phys.Lett.B {\bf390}, 401 (1997)] and further developed by Jingxuan…

High Energy Physics - Phenomenology · Physics 2025-04-04 G. R. Boroun , Yanbing Cai

Doubled $\alpha'$-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in $\alpha'$.…

High Energy Physics - Theory · Physics 2016-06-08 Usman Naseer , Barton Zwiebach

Identifying structural parameters in linear simultaneous-equation models is a longstanding challenge. Recent work exploits information in higher-order moments of non-Gaussian data. In this literature, the structural errors are typically…

Econometrics · Economics 2025-09-11 Ziyu Jiang

In this paper, we present a high-order expansion for elliptic equations in high-contrast media. The background conductivity is taken to be one and we assume the medium contains high (or low) conductivity inclusions. We derive an asymptotic…

Analysis of PDEs · Mathematics 2014-01-28 Victor M. Calo , Yalchin Efendiev , Juan Galvis

We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we consider the elliptic stochastic quantization of the…

Mathematical Physics · Physics 2024-04-16 Massimiliano Gubinelli , Martina Hofmanová , Nimit Rana

We give in this paper which is the fifth in a series of eight a theory of covariant derivatives of multivector and extensor fields based on the geometric calculus of an arbitrary smooth manifold M, and the notion of a connection extensor…

Differential Geometry · Mathematics 2007-05-23 A. M. Moya , V. V. Fernadez , W. A. Rodrigues

We construct a new family, indexed by the odd integers $N\geq 1$, of $(2+1)$-dimensional quantum field theories called {\it quantum hyperbolic field theories} (QHFT), and we study its main structural properties. The QHFT are defined for…

Geometric Topology · Mathematics 2014-10-01 Stephane Baseilhac , Riccardo Benedetti

Strong correlation effects, which are often associated to the approach to a Mott insulating state, in some cases may be observed even far from half-filling. This typically happens whenever the inter-site Coulomb repulsion induces a tendency…

Strongly Correlated Electrons · Physics 2011-04-06 Adriano Amaricci , Alberto Camjayi , Darko Tanaskovic , Kristjan Haule , Vladimir Dobrosavljevic , Gabriel Kotliar

A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domain bound, but not at a point of extremum. Using this theorem the asymptotic expansion of the…

Nuclear Theory · Physics 2008-11-26 A. F. Krutov , V. E. Troitsky , N. A. Tsirova

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

High Energy Physics - Theory · Physics 2020-08-20 Sanjit Shashi

For nonrelativistic Hamiltonians which are shape invariant, analytic expressions for the eigenvalues and eigenvectors can be derived using the well known method of supersymmetric quantum mechanics. Most of these Hamiltonians also possess…

High Energy Physics - Theory · Physics 2009-10-31 A. Gangopadhyaya , J. V. Mallow , C. Rasinariu , U. P. Sukhatme

To properly discover a charged Higgs Boson ($H^\pm$) requires its spin and couplings to be determined. We investigate how to utilize $\ttbar$ spin correlations to analyze the $H^\pm$ couplings in the decay $t\to bH^+\to b\tau^+\nu_\tau$.…

High Energy Physics - Phenomenology · Physics 2008-11-26 David Eriksson , Gunnar Ingelman , Johan Rathsman , Oscar Stål

In this paper, we analyze the planar cubic Alternative curve to determine the conditions for convex, loops, cusps and inflection points. Thus cubic curve is represented by linear combination of three control points and basis function that…

Graphics · Computer Science 2013-05-01 Azhar Ahmad , R. Gobithasan , Jamaluddin Md. Ali

We study cumulants of the chiral order parameter as function of beam energy as a possible signal for the presence of a critical end point and first-order phase transition in the QCD phase diagram. We model the expansion of a heavy-ion…

High Energy Physics - Phenomenology · Physics 2022-04-21 Christoph Herold , Ayut Limphirat , Poramin Saikham , Marlene Nahrgang
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