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We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation…

High Energy Physics - Lattice · Physics 2009-10-30 P. Butera , M. Comi

For the classical N-vector model, with arbitrary N, we have computed through order \beta^{17} the high temperature expansions of the second field derivative of the susceptibility \chi_4(N,\beta) on the simple cubic and on the body centered…

High Energy Physics - Lattice · Physics 2016-09-01 P. Butera , M. Comi

Two different models exhibiting self-organized criticality are analyzed by means of the dynamic renormalization group. Although the two models differ by their behavior under a parity transformation of the order parameter, it is shown that…

Condensed Matter · Physics 2009-10-22 Albert Diaz-Guilera

The $N$-color Ashkin-Teller model corresponds to $N$ Ising models coupled by four-spin interactions. We consider the two-dimensional case in presence of quenched disorder and use scale invariant scattering theory to determine all the…

Statistical Mechanics · Physics 2026-05-29 Youssef Makoudi , Gesualdo Delfino

Using Wilsonian methods, we study the renormalization group flow of the Nonlinear Sigma Model in any dimension $d$, restricting our attention to terms with two derivatives. At one loop we always find a Ricci flow. When symmetries completely…

High Energy Physics - Theory · Physics 2009-02-18 A. Codello , R. Percacci

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal…

Statistical Mechanics · Physics 2009-10-30 P. Simon

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of…

Strongly Correlated Electrons · Physics 2009-11-04 K. Mikelsons , E. Khatami , D. Galanakis , A. Macridin , J. Moreno , M. Jarrell

This paper extends results obtained by [15] for the annealed Ising model coupled to two-dimensional causal dynamical triangulations. We employ the Fortuin-Kasteleyn (FK) representation in order to determine a region in the quadrant of…

Mathematical Physics · Physics 2015-06-16 José Cerda Hernández

The renormalized zero-momentum four-point coupling $g_r$ of O(N)-invariant scalar field theories in $d$ dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the $\beta$-function and to…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

Logarithmic finite-size scaling of the O($n$) universality class at the upper critical dimensionality ($d_c=4$) has a fundamental role in statistical and condensed-matter physics and important applications in various experimental systems.…

Statistical Mechanics · Physics 2021-04-13 Jian-Ping Lv , Wanwan Xu , Yanan Sun , Kun Chen , Youjin Deng

Renormalization group (RG) and resummation techniques have been used in $N$-component $\phi^4$ theories at fixed dimensions below four to determine the presence of non-trivial IR fixed points and to compute the associated critical…

High Energy Physics - Theory · Physics 2019-09-06 Giacomo Sberveglieri , Marco Serone , Gabriele Spada

The thermodynamics of the 2D XY model is formulated by a transfer matrix method and analyzed by a density matrix renormalization group. The finite-size scaling and the beta function of the model are studied by the Roomany-Wyld…

Materials Science · Physics 2009-10-31 S. G. Chung

I evaluate the thermodynamic curvature $R$ for fourteen pure fluids along their liquid-vapor coexistence curves, from the critical point to the triple point, using thermodynamic input from the NIST Chemistry WebBook. In this broad overview,…

Statistical Mechanics · Physics 2015-06-11 George Ruppeiner

The locality of field theories strongly constrains the possible behaviors of symmetry-twisted partition functions, and thus they serve as order parameters to detect low-energy realizations of global symmetries, such as spontaneous symmetry…

High Energy Physics - Lattice · Physics 2026-04-06 Shinichiro Akiyama , Raghav G. Jha , Jun Maeda , Yuya Tanizaki , Judah Unmuth-Yockey

We improve on the description of the relationship that exists between critical clusters in thermal systems and intermittency near the onset of chaos in low-dimensional systems. We make use of the statistical-mechanical language of…

Statistical Mechanics · Physics 2017-10-06 M. Riquelme-Galvan , A. Robledo

The overlap (inner product) between the ground-state eigenvectors with proximate interaction parameters, the so-called fidelity, plays a significant role in the quantum-information theory. In this paper, the critical behavior of the…

Statistical Mechanics · Physics 2015-06-16 Yoshihiro Nishiyama

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \le 20$, by numerical application of the strong disorder renormalization group method. We…

Disordered Systems and Neural Networks · Physics 2015-05-14 Istvan A. Kovacs , Ferenc Igloi

We study the $N$-dependent behaviour of $\mathrm{2d}$ causal set quantum gravity. This theory is known to exhibit a phase transition as the analytic continuation parameter $\beta$, akin to an inverse temperature, is varied. Using a scaling…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Lisa Glaser , Denjoe O'Connor , Sumati Surya