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We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi…

Disordered Systems and Neural Networks · Physics 2014-12-17 Saroj Kumar Nandi , Giulio Biroli , Jean-Philippe Bouchaud , Kunimasa Miyazaki , David R. Reichman

We present new strong-coupling series for O(N) spin models in three dimensions, on the cubic and diamond lattices. We analyze these series to investigate the two-point Green's function G(x) in the critical region of the symmetric phase.…

High Energy Physics - Lattice · Physics 2009-10-28 Massimo Campostrini , Paolo Rossi , Andrea Pelissetto , Ettore Vicari

Nonequilibrium dynamics in quantum field theory has been studied extensively using truncations of the 2PI effective action. Both 1/N and loop expansions beyond leading order show remarkable improvement when compared to mean-field…

High Energy Physics - Theory · Physics 2008-11-26 Gert Aarts , Anders Tranberg

This article studies large $N$ limits of a coupled system of $N$ interacting $\Phi^4$ equations posed over $\mathbb{T}^{d}$ for $d=2$, known as the $O(N)$ linear sigma model. Uniform in $N$ bounds on the dynamics are established, allowing…

Probability · Mathematics 2021-01-12 Hao Shen , Scott Smith , Rongchan Zhu , Xiangchan Zhu

We reexamine the large $N$ limit of SU$(N)$ symmetric quantum mechanics of a Hermitian matrix whose singlet sector is well known to be exactly solvable via free fermions. When the Fermi level approaches a maximum of the potential, there is…

High Energy Physics - Theory · Physics 2026-04-14 Igor R. Klebanov , Henry W. Lin , Pavel Meshcheriakov

The triviality Higgs mass bound is studied with a higher derivative regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. The phase diagram of the O(4) model is…

High Energy Physics - Lattice · Physics 2009-10-22 Karl Jansen , Julius Kuti , Chuan Liu

We argue that the N=1 higher-spin theory on AdS4 is holographically dual to the N=1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT correspondence in which both regular and…

High Energy Physics - Theory · Physics 2009-11-10 R. G. Leigh , A. C. Petkou

We extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE…

High Energy Physics - Phenomenology · Physics 2015-06-16 Dario Buttazzo , Giuseppe Degrassi , Pier Paolo Giardino , Gian F. Giudice , Filippo Sala , Alberto Salvio , Alessandro Strumia

We use the dynamical cluster approximation to understand the proximity of the superconducting dome to the quantum critical point in the two-dimensional Hubbard model. In a BCS formalism, $T_c$ may be enhanced through an increase in the…

The conductivity in quasi two-dimensional systems is calculated using the quantum kinetic equation. Linearizing the Lenard-Balescu collision integral with the extension to include external field dependences allows one to calculate the…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz

We continue the study, initiated in arXiv:1404.1094, of the $O(N)$ symmetric theory of $N+1$ massless scalar fields in $6-\epsilon$ dimensions. This theory has cubic interaction terms $\frac{1}{2}g_1 \sigma (\phi^i)^2 + \frac{1}{6}g_2…

High Energy Physics - Theory · Physics 2015-03-05 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

We study the phases of the 1+1 dimensional Non-Commutative Open String theory on a circle. We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge.…

High Energy Physics - Theory · Physics 2009-10-31 Vatche Sahakian

We perform a systematic study of incoherent transport in the high temperature crossover region of the half-filled one-band Hubbard model. We demonstrate that the family of resistivity curves displays characteristic quantum critical scaling…

Strongly Correlated Electrons · Physics 2015-03-17 H. Terletska , J. Vucicevic , D. Tanasković , V. Dobrosavljević

We explore O(N) models in dimensions $4<d<6$. Specifically, we investigate models of an O(N) vector field coupled to an additional scalar field via a cubic interaction. Recent results in $d=6-\epsilon$ have uncovered an interacting…

High Energy Physics - Theory · Physics 2016-06-22 Astrid Eichhorn , Lukas Janssen , Michael M. Scherer

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the…

High Energy Physics - Theory · Physics 2009-11-11 Riccardo Apreda , Johanna Erdmenger , Nick Evans , Zachary Guralnik

We calculate spectral functions of the relativistic $O(4)$ model from real-time lattice simulations in classical-statistical field theory. While in the low and high temperature phase of the model, the spectral functions of longitudinal…

High Energy Physics - Lattice · Physics 2019-12-05 Sören Schlichting , Dominik Smith , Lorenz von Smekal

We study the different quantum phases that occur in massive ${\cal N}=2$ supersymmetric QCD with gauge groups $SU(2)$ and $SU(3)$ as the coupling $\Lambda/M$ is gradually increased from 0 to infinity. The phases can be identified by…

High Energy Physics - Theory · Physics 2019-12-02 J. G. Russo

We use quantum Monte Carlo simulations to study a disordered S=1/2 Heisenberg quantum spin model with three different nearest-neighbor interactions, J1<=J2<=J3, on the square lattice. We consider the regime in which J1 represents weak…

Strongly Correlated Electrons · Physics 2017-06-30 Nvsen Ma , Anders W. Sandvik , Dao-Xin Yao

The super-cooled $N3$ model exhibits an increasingly slow dynamics as density approaches the model's random closest packing density. Here, we present a direct measurement of the dynamical correlation function $G_4(r,t)$, showing the…

Statistical Mechanics · Physics 2010-12-21 Ziv Rotman , Eli Eisenberg

The Weak Gravity Conjecture has recently been re-formulated in terms of a particle with non-negative self-binding energy. Because of the dual conformal field theory (CFT) formulation in the anti-de Sitter space the conformal dimension…

High Energy Physics - Theory · Physics 2022-01-19 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang