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The temperature induced phase transition is investigated in the one-component scalar field \phi^4 model on a lattice by using Monte Carlo simulations. Using the GPGPU technology a huge amount of data is collected that gives a possibility to…

High Energy Physics - Lattice · Physics 2015-03-17 M. Bordag , V. Demchik , A. Gulov , V. Skalozub

We investigate the type of the temperature phase transition in the $N$ component $\la \phi^4$ ($O(N)$) model of scalar fields. Actual calculations are carried out in the beyond-super-daisy approximation (BSDA). The cases $N = 1$ and larger…

High Energy Physics - Theory · Physics 2014-04-29 M. Bordag , V. Skalozub

In a field-theoretical context, we consider the Euclidean $(\phi^4+\phi^6)_D$ model compactified in one of the spatial dimensions. We are able to determine the dependence of the transition temperature ($T_{c}$)for a system described by this…

High Energy Physics - Theory · Physics 2007-05-23 C. A. Linhares , A. P. C. Malbouisson , I. Roditi

We investigate the phase transition of the four-dimensional single-component $\phi^4$ theory on the lattice using the tensor renormalization group method. We have examined the hopping parameter dependence of the bond energy and the vacuum…

High Energy Physics - Lattice · Physics 2021-09-01 Shinichiro Akiyama , Yoshinobu Kuramashi , Yusuke Yoshimura

Discrete lattice simulations of an one-dimensional phi^4 theory coupled to an external heat bath are being carried out. Great care is taken to remove the effects of lattice discreteness and finite size and to establish the correct…

High Energy Physics - Lattice · Physics 2008-02-03 Hans-Reinhard Mueller

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

We study the thermal phase transitions of a generic real scalar field, without a $Z_2$-symmetry, referred to variously as an inert, sterile or singlet scalar, or $\phi^3+\phi^4$ theory. Such a scalar field arises in a wide range of models,…

High Energy Physics - Phenomenology · Physics 2021-04-13 Oliver Gould

We study the phases and phase transition lines of the finite temperature G(2) Higgs model. Our work is based on an efficient local hybrid Monte-Carlo algorithm which allows for accurate measurements of expectation values, histograms and…

High Energy Physics - Lattice · Physics 2011-06-08 Björn H. Wellegehausen , Andreas Wipf , Christian Wozar

We study the effective field theory of a weakly coupled 3+1d gauged $\phi^4$ type model at high temperature. Our model has $4N$ real scalars ($N$ complex Higgs doublets) and a gauge group $SU(2)$ which is spontaneously broken by a nonzero…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain , Aris Papadopoulos

We study a $U(N)\times U(N)$ symmetric scalar field model in four and three dimensions. First, using our data in four dimensions in the weak coupling region, we demonstrate explicitly that the observed first order phase transition is…

High Energy Physics - Lattice · Physics 2009-10-22 Yue Shen

We have performed a systematic study of the phase transition in the pure compact U(1) lattice gauge theory in the extended coupling parameter space (\beta, \gamma) on toroidal and spherical lattices. The observation of a non-zero latent…

High Energy Physics - Lattice · Physics 2009-10-31 Isabel Campos , Andres Cruz , Alfonso Tarancon

Assuming triviality of the 4-dimensional $\lambda \phi ^4$-theory we compute the effective potential by means of a self consistent Feynman-Bogoliubov method. This potential $U_{eff}^{FB}$ depends on a UV-cutoff, which is fixed by a…

High Energy Physics - Lattice · Physics 2009-10-28 G. Palma , J. C. Rojas

A numerical diagonalization technique with canonical Monte-Carlo simulation algorithm is used to study the phase transitions from low temperature (ordered) phase to high temperature (disordered) phase of spinless Falicov-Kimball model on a…

Strongly Correlated Electrons · Physics 2015-03-20 Umesh K. Yadav , T. Maitra , Ishwar Singh

Using standard numerical Monte Carlo lattice methods, we study non-universal properties of the phase transition of three-dimensional phi^4 theory of a 2-component real field phi = (phi_1,phi_2) with O(2) symmetry. Specifically, we extract…

Condensed Matter · Physics 2014-10-13 Peter Arnold , Guy D. Moore

At high temperatures a four dimensional field theory is reduced to a three dimensional field theory. In this letter we consider the $\phi^4$ theory whose parameters are chosen so that a thermal phase transition occurs at a high temperature.…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hidenori Sonoda

One-dimensional model of a system where first-order phase transition occurs is examined in the present paper. It is shown that basic properties of the phenomenon, such as a well defined temperature of transition, are caused both by…

Statistical Mechanics · Physics 2009-07-29 Marcin Ostrowski

High accuracy Monte Carlo study has been performed in the modified planar Lebwohl Lasher model containing and interaction, where and are second and fourth order Legendre polynomial having three-dimensional spin. Weakly First order Nematic…

Soft Condensed Matter · Physics 2022-02-01 Enakshi Guru

The classical two-dimensional discrete frustrated $\phi ^4$ model is studied by Monte Carlo simulations. The correlation function is obtained for two values of a parameter $d$ that determines the frustration in the model. The ground state…

Statistical Mechanics · Physics 2009-11-07 V. V. Savkin , A. N. Rubtsov , T. Janssen

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

We consider the one-dimensional massive Thirring model formulated on the lattice with staggered fermions and an auxiliary compact vector (link) field, which is exactly solvable and shows a phase transition with increasing the chemical…

High Energy Physics - Lattice · Physics 2016-10-10 Hirotsugu Fujii , Syo Kamata , Yoshio Kikukawa
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