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We study the critical dynamics of a real scalar field in two dimensions near a continuous phase transition. We have built up and solved Dynamical Renormalization Group equations at one-loop approximation. We have found that, different form…

Statistical Mechanics · Physics 2021-12-06 Nathan O. Silvano , Daniel G. Barci

We compute the chiral critical exponents for the chiral transition in frustrated two- and three-component spin systems with noncollinear order, such as stacked triangular antiferromagnets (STA). For this purpose, we calculate and analyze…

Statistical Mechanics · Physics 2009-11-07 Andrea Pelissetto , Paolo Rossi , Ettore Vicari

Dynamical chiral symmetry breaking (D$\chi$SB) is studied within ($2+1$)-dimensional QED with $N$ four-component fermions. The leading and next-to-leading orders of the $1/N$ expansion are computed exactly. The analysis is carried out in an…

High Energy Physics - Theory · Physics 2016-12-15 A. V. Kotikov , S. Teber

We study renormalization group multicritical fixed points in the $\epsilon$-expansion of scalar field theories characterized by the symmetry of the (hyper)cubic point group $H_N$. After reviewing the algebra of $H_N$-invariant polynomials…

High Energy Physics - Theory · Physics 2021-04-08 Riccardo Ben Alì Zinati , Alessandro Codello , Omar Zanusso

In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional…

High Energy Physics - Phenomenology · Physics 2024-03-08 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

The critical phenomena associated to the liquid to solid transition of quasi-two-dimensional vibrated granular systems is studied using molecular dynamics simulations of the inelastic hard sphere model. The critical properties are…

Soft Condensed Matter · Physics 2018-02-14 Marcelo Guzman , Rodrigo Soto

We study the critical behavior of frustrated spin models with noncollinear order in two dimensions, including antiferromagnets on a triangular lattice and fully frustrated antiferromagnets. For this purpose we consider the corresponding…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Pietro Parruccini

In three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green's function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a a…

Condensed Matter · Physics 2009-10-28 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional $CP^{N-1}$ model, for $N$ real. Also due to special degeneracies at $N=2$ and 3, the space of…

Statistical Mechanics · Physics 2022-02-15 Youness Diouane , Noel Lamsen , Gesualdo Delfino

We calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry including conservation of magnetization by renormalization group (RG) theory within the minimal subtraction scheme in two loop…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

Interacting physical systems in the neighborhood of criticality (and massive continuum field theories) can often be characterized by just two physical scales: a (macroscopic) correlation length and a (microscopic) interaction range, related…

High Energy Physics - Lattice · Physics 2009-10-31 Sergio Caracciolo , Maria Serena Causo , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach…

High Energy Physics - Phenomenology · Physics 2024-10-08 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

In three-dimensional O(N) models, we investigate the low-momentum behavior of the two-point Green's function G(x) in the critical region of the symmetric phase. We consider physical systems whose criticality is characterized by a…

Condensed Matter · Physics 2010-11-19 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions are universal with respect to any possible microscopic…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , P. Rossi , E. Vicari

Through appropriate projections of an exact renormalization group equation, we study fixed points, critical exponents and nontrivial renormalization group flows in scalar field theories in $2<d<4$. The standard upper critical dimensions…

High Energy Physics - Theory · Physics 2009-10-22 Peter E. Haagensen , Yuri Kubyshin , Jose I. Latorre , Enrique Moreno

Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid…

Strongly Correlated Electrons · Physics 2026-03-26 Aleksandar Ljepoja , L. C. R. Wijewardhana , Yashar Komijani

In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of $O(n)\times O(2)$-symmetric conformal field theories in $d=3$…

High Energy Physics - Theory · Physics 2015-06-22 Yu Nakayama , Tomoki Ohtsuki

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model H, the conjectured dynamic universality class of the QCD critical point. We emphasize the…

High Energy Physics - Phenomenology · Physics 2025-02-27 Johannes V. Roth , Yunxin Ye , Sören Schlichting , Lorenz von Smekal

We calculate the static critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry by renormalization group method within the minimal subtraction scheme in two loop order. Summation methods lead to fixed points describing…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

We study in this work the 2D dynamics of an experimental system of disk-shaped rotors, fluidized by turbulent upflow. Contrary to previous knowledge, our experiments show the same particle chiral geometry can produce flows with different…