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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.…

统计力学 · 物理学 2021-04-13 Jian-Ping Lv , Wanwan Xu , Yanan Sun , Kun Chen , Youjin Deng

Using integrability techniques, we compute four-point functions of single trace gauge-invariant operators in N=4 SYM to leading order at weak coupling. Our results are valid for operators of arbitrary size. In particular, we study the limit…

高能物理 - 理论 · 物理学 2011-10-11 Joao Caetano , Jorge Escobedo

The classical Heisenberg model is one of the most fundamental models in statistical and condensed matter physics. Extensive theoretical and numerical studies suggest that, in two dimensions, this model does not exhibit a finite-temperature…

统计力学 · 物理学 2025-11-14 Dingyun Yao , Chao Zhang , Z. Y. Xie , Zhijie Fan , Youjin Deng

We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

高能物理 - 理论 · 物理学 2009-11-18 León Berdichevsky , Pieter Naaijkens

To establish a unified framework for studying both discrete and continuous coupling distributions, we introduce the {\it binomial} spin glass, a class of models where the couplings are sums of $m$ identically distributed Bernoulli random…

无序系统与神经网络 · 物理学 2018-08-29 Mohammad-Sadegh Vaezi , Gerardo Ortiz , Martin Weigel , Zohar Nussinov

We find a parametrically light dilaton in special confining theories in three dimensions. Their duals form what we call a scion of solutions to the supergravity associated with the large-N limit of the Coulomb branch of the N=4…

高能物理 - 理论 · 物理学 2021-08-11 Daniel Elander , Maurizio Piai , John Roughley

We consider correlation functions of two maximal giant gravitons and two light $\frac{1}{2}$-BPS operators in 4d $\mathcal{N}=4$ SYM. Viewed as two-point correlators in the presence of a zero dimensional defect, they can be completely fixed…

高能物理 - 理论 · 物理学 2025-08-12 Junding Chen , Yunfeng Jiang , Xinan Zhou

The Checkerboard conformal field theory is an interesting representative of a large class of non-unitary, logarithmic Fishnet CFTs (FCFT) in arbitrary dimension which have been intensively studied in the last years. Its planar Feynman…

高能物理 - 理论 · 物理学 2025-01-07 Mikhail Alfimov , Gwenaël Ferrando , Vladimir Kazakov , Enrico Olivucci

The planar integrability of $\mathcal{N}=4$ super-Yang-Mills (SYM) is the cornerstone for numerous exact observables. We show that the large charge sector of the ${\rm SU}(2)$ $\mathcal{N}=4$ SYM provides another interesting solvable corner…

高能物理 - 理论 · 物理学 2023-06-02 João Caetano , Shota Komatsu , Yifan Wang

Correlators of local operators inserted on a straight Wilson loop in a conformal gauge theory have the structure of a one-dimensional "defect" CFT. As was shown in arXiv:1706.00756, in the case of supersymmetric Wilson-Maldacena loop in…

高能物理 - 理论 · 物理学 2019-06-26 Matteo Beccaria , Simone Giombi , Arkady A. Tseytlin

Penetrative turbulent Rayleigh-B\'enard convection which depends on the density maximum of water near $4^\circ\rm{C}$ is studied using two-dimensional (2D) and three-dimensional (3D) direct numerical simulations (DNS). The working fluid is…

流体动力学 · 物理学 2019-06-26 Qi Wang , Quan Zhou , Zhen-Hua Wan , De-Jun Sun

A lattice simulation in the broken phase of four-dimensional (lambda Phi^4) theory in the Ising limit suggests that, in the continuum limit, the scalar condensate rescales by a factor different from the conventional wavefunction…

高能物理 - 格点 · 物理学 2009-10-31 P. Cea , M. Consoli , L. Cosmai

Recently-generated long strong-coupling series for the two-point Green's functions of asymptotically free ${\rm O}(N)$ lattice $\sigma$ models are analyzed, focusing on the evaluation of dimensionless renormalization-group invariant ratios…

高能物理 - 格点 · 物理学 2009-10-28 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We consider a fluctuating superconductor in the vicinity of the transition temperature, $T_c$. The fluctuation shear viscosity is calculated. In two dimensions, the leading correction to viscosity is negative and scales as $\delta \eta(T)…

强关联电子 · 物理学 2019-08-07 Yunxiang Liao , Victor Galitski

The exact finite-size corrections to the free energy $F$ of the dimer model on lattice $\mathcal{M} \times \mathcal{N}$ with cylindrical boundary conditions have been derived for three cases where the lattice is completely covered by…

统计力学 · 物理学 2025-03-11 Vladimir V. Papoyan

A simple model of nonlinear salt-finger convection in two dimensions is derived and studied. The model is valid in the limit of small solute to heat diffusivity ratio and large density ratio, which is relevant to both oceanographic and…

流体动力学 · 物理学 2017-03-13 Jin-Han Xie , Benjamin Miquel , Keith Julien , Edgar Knobloch

We consider a light-like Wilson loop in N=4 SYM evaluated on a regular n-polygon contour. Sending the number of edges to infinity the polygon approximates a circle and the expectation value of the light-like WL is expected to tend to the…

高能物理 - 理论 · 物理学 2015-06-23 Marco S. Bianchi , Matias Leoni

Studies of non-Fermi liquid properties in heavy fermions have led to the current interest in the Bose-Fermi Kondo model. Here we use a dynamical large-N approach to analyze an SU(N)xSU($\kappa N$) generalization of the model. We establish…

强关联电子 · 物理学 2007-05-23 Lijun Zhu , Stefan Kirchner , Qimiao Si , Antoine Georges

The critical behavior of semi-infinite $d$-dimensional systems with $n$-component order parameter $\bm{\phi}$ and short-range interactions is investigated at an $m$-axial bulk Lifshitz point whose wave-vector instability is isotropic in an…

统计力学 · 物理学 2007-05-23 H. W. Diehl , A. Gerwinski , S. Rutkevich

The near threshold expansion of Feynman diagrams is derived from their configuration space representation, by performing all x integrations. The general scalar Feynman diagram is considered, with an arbitrary number of external momenta, an…

高能物理 - 唯象学 · 物理学 2007-05-23 E. Mendels