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We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization…

Disordered Systems and Neural Networks · Physics 2024-07-19 Ivan Lecce , Marco Picco , Raoul Santachiara

We investigate the complex-temperature singularities of the susceptibility of the 2D Ising model on a square lattice. From an analysis of low-temperature series expansions, we find evidence that as one approaches the point $u=u_s=-1$ (where…

High Energy Physics - Lattice · Physics 2009-10-22 V. Matveev , R. Shrock

We investigate by Monte Carlo simulations the critical properties of the three-dimensional bond-diluted Ising model. The phase diagram is determined by locating the maxima of the magnetic susceptibility and is compared to mean-field and…

Statistical Mechanics · Physics 2010-07-13 P. E. Berche , C. Chatelain , B. Berche , W. Janke

We investigate phase transitions in three dimensional scalar matrix models, with special emphasis on complex $2 \times 2$ matrices. The universal equation of state for weak first order phase transitions is computed. We also study the coarse…

High Energy Physics - Theory · Physics 2009-10-30 J. Berges , C. Wetterich

The two-dimensional Holstein-Hubbard model is studied by means of continuous-time quantum Monte Carlo simulations. Using renormalization-group-invariant correlation ratios and finite-size extrapolation, the critical temperature of the…

Strongly Correlated Electrons · Physics 2018-08-06 Manuel Weber , Martin Hohenadler

We propose a new method to numerically calculate transition points that belongs to 2D Ising universality class for quantum spin models. Generally, near the multicritical point, in conventional methods, a finite size correction becomes very…

Statistical Mechanics · Physics 2020-08-31 S. Moriya , K. Nomura

The standard infinite-volume definition of connected correlation function and particle mass in the 3-state Potts model can be implemented in Monte Carlo simulations by using C-periodic spatial boundary conditions. This avoids both the…

High Energy Physics - Lattice · Physics 2009-10-22 R. V. Gavai , L. Polley

The 3-state Potts field theory describes the scaling limit of the 3-state Potts model on the two-dimensional lattice near its continuous phase transition point. In the presence of thermal and magnetic field perturbations, the 3-state Potts…

Statistical Mechanics · Physics 2015-01-07 S. B. Rutkevich

We study the phase diagram of the three-dimensional SU(3)+adjoint Higgs theory with lattice Monte Carlo simulations. A critical line consisting of a first order line, a tricritical point and a second order line, divides the phase diagram…

High Energy Physics - Lattice · Physics 2010-02-03 K. Kajantie , M. Laine , A. Rajantie , K. Rummukainen , M. Tsypin

Recently the OPE coefficients of the 3D Ising model universality class have been calculated by studying the two-point functions perturbed from the critical point with a relevant field. We show that this method can be applied also when the…

High Energy Physics - Theory · Physics 2016-04-28 Gianluca Costagliola

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…

High Energy Physics - Lattice · Physics 2015-03-19 Dominik Smith , Christian Schmidt

We address the critical and universal aspects of counterion-condensation transition at a single charged cylinder in both two and three spatial dimensions using numerical and analytical methods. By introducing a novel Monte-Carlo sampling…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

We consider a variety of nearest-neighbor spin models defined on the d-dimensional hypercubic lattice Z^d. Our essential assumption is that these models satisfy the condition of reflection positivity. We prove that whenever the associated…

Probability · Mathematics 2007-05-23 Marek Biskup , Lincoln Chayes

We study the 3D Disordered Potts Model with p=5 and p=6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the…

Mass and decay spectra are calculated for quantum massive excitations of a piecewise uniform bosonic string. The physical meaning of the critical temperatures characterizing the radiation in the decay of a massive microstate in string…

High Energy Physics - Theory · Physics 2009-01-14 I. Brevik , A. A. Bytsenko , A. E. Goncalves

We study the universality class and critical properties of the electroweak theory at finite temperature. Such critical behaviour is found near the endpoint m_H=m_{H,c} of the line of first order electroweak phase transitions in a wide class…

High Energy Physics - Lattice · Physics 2009-10-31 K. Rummukainen , M. Tsypin , K. Kajantie , M. Laine , M. Shaposhnikov

We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for the renormalized $T$-dependent…

High Energy Physics - Theory · Physics 2010-12-01 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

The q-state Potts field theory describes the universality class associated to the spontaneous breaking of the permutation symmetry of q colors. In two dimensions it is defined up to q=4 and exhibits duality and integrability away from…

High Energy Physics - Theory · Physics 2008-11-26 Gesualdo Delfino , Paolo Grinza

Monte Carlo and series expansion data for the energy, specific heat, magnetisation and susceptibility of the 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed. Estimates…

Statistical Mechanics · Physics 2010-07-06 Bertrand Berche , Paolo Butera , Lev Shchur

Understanding the excitation spectrum in two-dimensional quantum many-body systems has long been a challenging task. We present an approach by introducing an excitation ansatz based on an infinite matrix product state (MPS) on a helix…

Strongly Correlated Electrons · Physics 2024-02-26 Xing-Yu Zhang , Runze Chi , Yang Liu , Lei Wang
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