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Related papers: Twisted Eguchi-Kawai Reduced Chiral Models

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We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models…

Strongly Correlated Electrons · Physics 2019-05-30 Xiaoxue Ran , Nvsen Ma , Dao-Xin Yao

We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting of $N$ equi-spaced vectors, also known as $N$-clock model.…

Mathematical Physics · Physics 2020-12-18 Marco Cicalese , Gianluca Orlando , Matthias Ruf

Principal chiral models on a d-1 dimensional simplex are introduced and studied analytically in the large $N$ limit. The $d = 0, 2, 4$ and $\infty$ models are explicitly solved. Relationship with standard lattice models and with few-matrix…

High Energy Physics - Theory · Physics 2009-10-28 Paolo Rossi , Chung-I Tan

This paper focuses on the numerical approximation of random lattice reversible Selkov systems. It establishes the existence of numerical invariant measures for random models with nonlinear noise, using the backward Euler-Maruyama (BEM)…

Numerical Analysis · Mathematics 2025-10-29 Fang Su , Xue Wang , Xia Pa

We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These facilitated models are supposed to catch some of the main…

Statistical Mechanics · Physics 2015-06-22 Paul Chleboun , Alessandra Faggionato , Fabio Martinelli

We investigate the different large $N$ phases of a generalized Gross-Witten-Wadia $U(N)$ matrix model. The deformation mimics the one-loop determinant of fermion matter with a particular coupling to gauge fields. In one version of the…

High Energy Physics - Theory · Physics 2020-12-30 Jorge G. Russo

SU(3) gauge theory with dynamical overlap fermions in the 2-index symmetric (sextet) representation is considered. This model may be a viable model of the electroweak symmetry breaking sector along the lines of the walking technicolor…

High Energy Physics - Lattice · Physics 2010-01-21 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

Phase transitions in a modified Nishimori model, including the model considered by Kitatani, on a two-dimensional square lattice are investigated using a tensor-network-based sampling scheme. In this model, generating bond configurations is…

Disordered Systems and Neural Networks · Physics 2026-03-20 Takumi Oshima , Yamato Arai , Koji Hukushima

Four-Fermi quantum field theories in (2+1) dimensions lie among the simplest models in high-energy physics, the understanding of which requires a non-perturbative lattice formulation addressing their strongly-coupled fixed points. These…

Quantum Gases · Physics 2022-09-19 L. Ziegler , E. Tirrito , M. Lewenstein , S. Hands , A. Bermudez

We provide a set of theoretical constraints on models in which the Standard Model field content is extended by vector-like fermions and in some cases also by a real scalar singlet. Our approach is based on the study of electroweak vacuum…

High Energy Physics - Phenomenology · Physics 2024-10-08 Amit Adhikary , Marek Olechowski , Janusz Rosiek , Michal Ryczkowski

A common feature of recent functional renormalization group investigations of effective low-energy QCD is the appearance of a back-bending behavior of the chiral phase transition line at low temperatures together with a negative entropy…

High Energy Physics - Phenomenology · Physics 2022-11-23 Konstantin Otto , Christopher Busch , Bernd-Jochen Schaefer

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The lambda model is a one parameter deformation of the principal chiral model that arises when regularizing the non-compactness of a non-abelian T dual in string theory. It is a current-current deformation of a WZW model that is known to be…

High Energy Physics - Theory · Physics 2017-08-02 Calan Appadu , Timothy J. Hollowood , Dafydd Price

The decays tau -> 3 pi + nu(tau) are analyzed at one loop order in the framework of Generalized Chiral Perturbation Theory, in order to test the sensitivity to the size of spontaneous chiral symmetry breaking parameters, contained in the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luca Girlanda , Jan Stern

In a recent Letter we discussed the fact that large-$N$ expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field…

High Energy Physics - Lattice · Physics 2015-06-25 A. Kocic , J. B. Kogut

The large N limit of the hermitian matrix model in three and four Euclidean space-time dimensions is studied with the help of the approximate Renormalization Group recursion formula. The planar graphs contributing to wave function, mass and…

High Energy Physics - Theory · Physics 2009-10-28 Gabriele Ferretti

We consider the Ising model at its critical temperature with external magnetic field $ha^{15/8}$ on the square lattice with lattice spacing $a$. We show that the truncated two-point function in this model decays exponentially with a rate…

Probability · Mathematics 2019-09-09 Federico Camia , Jianping Jiang , Charles M. Newman

We analyze the compatibility of the hypothesis of third-family quark-lepton unification at the TeV scale with electroweak precision data, lepton flavor universality tests, and high-$p_T$ constraints. We work within the framework of the UV…

High Energy Physics - Phenomenology · Physics 2025-08-08 Lukas Allwicher , Gino Isidori , Javier M. Lizana , Nudzeim Selimovic , Ben A. Stefanek

The homogeneous Bethe-Salpeter equation (BSE) of a (1/2)$^+$ bound system, that has both fermionic and bosonic degrees of freedom, that we call a {\em mock nucleon}, is studied in Minkowski space, in order to analyse the chiral limit in…

High Energy Physics - Phenomenology · Physics 2023-06-07 A. Noronha , W. de Paula , J. H. de Alvarenga Nogueira , T. Frederico , E. Pace , G. Salmè

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible…

High Energy Physics - Theory · Physics 2010-02-04 Holger Gies , Lukas Janssen , Stefan Rechenberger , Michael M. Scherer
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