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We study a bi-antisymmetric tensor quantum field theory with $O(N_1)\times O(N_2)$ symmetry. Working in $4-\epsilon$ dimensions we calculate the beta functions up to second order in the coupling constants and analyze in detail the…

高能物理 - 理论 · 物理学 2022-04-13 Maikel M. Bosschaert , Christian B. Jepsen , Fedor K. Popov

The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

无序系统与神经网络 · 物理学 2014-09-12 Michele Castellana , Giorgio Parisi

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which…

统计力学 · 物理学 2023-11-21 Akshat Pandey , Aditya Mahadevan , Aditya Cowsik

The critical behavior of $U(n)$-$\chi^{4}$-model with antisymmetric tensor order parameter at charged regime is studied by means of the field theoretic renormalization group at the leading order of $\varepsilon$-expansion (one-loop…

统计力学 · 物理学 2017-10-25 N. V. Antonov , M. V. Kompaniets , N. M. Lebedev

We consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the model - according to the replica trick - corresponds to the…

统计力学 · 物理学 2007-05-23 F. Igloi , L. Turban , B. Berche

We use renormalization group (RG) analysis and dimensional regularization techniques to study potential superconductivity-inducing four-fermion interactions in systems with critical Fermi surfaces of general dimensions ($m$) and…

强关联电子 · 物理学 2024-03-01 Ipsita Mandal

The large-N saddle-point equations for the principal chiral models defined on a d-1 dimensional simplex are derived from the external field problem for unitary integrals. The saddle point equation are studied analytically and numerically in…

高能物理 - 理论 · 物理学 2009-10-28 R. C. Brower , M. Campostrini , K. Orginos , P. Rossi , C-I Tan , E. Vicari

A hybrid of the critical three dimensional Gross-Neveu and Thirring models deformed by explicit parity breaking operators is studied in the large N expansion and using the renormalization group. The regime of coupling constants where the…

高能物理 - 理论 · 物理学 2024-09-17 Gordon W. Semenoff , Riley A. Stewart

Simulations employing the continuum model of Gao et al. [Phy. Rev. Fluids, 2 093302 (2017)] are used to study the transport of an object in a closed two-dimensional container by a dense suspension of contractile active agents. For…

流体动力学 · 物理学 2023-11-29 Jonathan B. Freund

We study quantum field theories with sextic interactions in $3-\epsilon$ dimensions, where the scalar fields $\phi^{ab}$ form irreducible representations under the $O(N)^2$ or $O(N)$ global symmetry group. We calculate the beta functions up…

高能物理 - 理论 · 物理学 2021-04-30 Christian B. Jepsen , Igor R. Klebanov , Fedor K. Popov

We explore the dynamical behavior at and near a special class of two-dimensional quantum critical points. Each is a conformal quantum critical point (CQCP), where in the scaling limit the equal-time correlators are those of a…

强关联电子 · 物理学 2011-03-28 S. V. Isakov , P. Fendley , A. W. W. Ludwig , S. Trebst , M. Troyer

We study the universal critical properties of the QED$_3$-Gross-Neveu-Yukawa model with $N$ flavors of four-component Dirac fermions coupled to a real scalar order parameter at four-loop order in the $\epsilon$ expansion below four…

强关联电子 · 物理学 2018-10-17 Nikolai Zerf , Peter Marquard , Rufus Boyack , Joseph Maciejko

It has been conjectured that 3d fermions minimally coupled to Chern-Simons gauge fields are dual to 3d critical scalars, also minimally coupled to Chern-Simons gauge fields. The large $N$ arguments for this duality can formally be used to…

高能物理 - 理论 · 物理学 2018-12-26 Ofer Aharony , Sachin Jain , Shiraz Minwalla

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary…

凝聚态物理 · 物理学 2009-10-28 Ronald Dickman

We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of summands and rescaling. In this structure…

统计力学 · 物理学 2015-05-14 Miguel Angel Fuentes , Alberto Robledo

We study the critical behavior of frustrated systems by means of Pade-Borel resummed three-loop renormalization-group expansions and numerical Monte Carlo simulations. Amazingly, for six-component spins where the transition is second order,…

统计力学 · 物理学 2009-10-31 D. Loison , A. I. Sokolov , B. Delamotte , S. A. Antonenko , K. D. Schotte , H. T. Diep

We analyze the universal critical behavior at the chiral critical point in QCD with three degenerate quark masses. We confirm that this critical point lies in the universality class of the three dimensional Ising model. The symmetry of the…

高能物理 - 格点 · 物理学 2015-03-19 Dominik Smith , Christian Schmidt

We analyze the critical behavior of isotropic systems with dipole-dipole interaction by renormalization-group methods in fixed space-time dimensions. Working in three-dimensional theory we analytically find three-loop expressions for…

统计力学 · 物理学 2022-11-09 A. Kudlis , A. Pikelner

We numerically study the phase diagram and critical properties of the two-dimensional disordered O(n) loop model by using the transfer matrix and the worm Monte Carlo methods. The renormalization group flow is extracted from the landscape…

无序系统与神经网络 · 物理学 2014-04-07 Hirohiko Shimada , Jesper Lykke Jacobsen , Yoshitomo Kamiya

The critical behavior of three-state statistical models invariant under the full symmetry group $S_3$ and its dependence on space dimension have been a matter of interest and debate. In particular, the phase transition of the 3-state Potts…

统计力学 · 物理学 2025-01-22 Jose Gaite
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