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Using the Matsubara formalism, we consider the massive $(\lambda \phi^{4})_{D}$ vector $N$-component model in the large $N$ limit, the system being confined between two infinite paralell planes. We investigate the behavior of the coupling…

Statistical Mechanics · Physics 2008-11-26 A. P. C. Malbouisson , J. M. C. Malbouisson

We discuss various aspects of the O(N)-model in the vacuum and at finite temperature within the Phi-derivable expansion scheme to order lambda^2. In continuation to an earlier work, we look for a physical parametrization in the N=4 case…

High Energy Physics - Phenomenology · Physics 2016-04-19 Gergely Markó , Urko Reinosa , Zsolt Szép

We study cutoff and lattice effects in the O(n) symmetric $\phi^4$ theory for a $d$-dimensional cubic geometry of size $L$ with periodic boundary conditions. In the large-N limit above $T_c$, we show that $\phi^4$ field theory at finite…

Statistical Mechanics · Physics 2011-10-11 X. S. Chen , V. Dohm

We consider the Euclidean $N$-component Ginzburg--Landau model in $D$ dimensions, of which $d$ ($d\leq D$) of them are compactified. As usual, temperature is introduced through the mass term in the Hamiltonian. This model can be interpreted…

Mathematical Physics · Physics 2011-02-09 C. A. Linhares , A. P. C. Malbouisson , M. L. Souza

We investigate the width of the Ginzburg critical region and experimental signatures of critical behavior in strongly interacting trapped Fermi gases close to unitarity, where the s-wave scattering length diverges. Despite the fact that the…

Statistical Mechanics · Physics 2009-08-20 E. Taylor

We apply the $\delta$-expansion perturbation scheme to the $\lambda \phi_{4}$ self-interacting scalar field theory in 3+1 D at finite temperature. In the $\delta$-expansion the interaction term is written as $\lambda (\phi^{2})^{1 +…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rudnei O. Ramos

We report on the computation of the critical point of the deconfinement phase transition, critical indices and the string tension in the compact three dimensional U(1) lattice gauge theory at finite temperatures. The critical indices govern…

High Energy Physics - Lattice · Physics 2014-11-20 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa

We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$,…

High Energy Physics - Lattice · Physics 2022-04-07 Martin Hasenbusch

In this paper we consider a superconducting film modeled by the Ginzburg-Landau model, confined between two parallel planes a distance $L$ apart from one another. Our approach is based on the Gaussian effective potential in the transverse…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , I. Roditi

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 suggest that the $\phi^4$ model is only a polynomial approximation to a more fundamental theory. As a consequence the high temperature regime might not be correctly described by this model. If this turns out to be true then several…

High Energy Physics - Theory · Physics 2009-10-30 G. German

Criticality of chiral phase transition at finite temperature is investigated in a soft-wall AdS/QCD model with $SU_L(N_f)\times SU_R(N_f)$ symmetry, especially for $N_f=2,3$ and $N_f=2+1$. It is shown that in quark mass plane($m_{u/d}-m_s$)…

High Energy Physics - Phenomenology · Physics 2019-02-20 Jianwei Chen , Song He , Mei Huang , Danning Li

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

Modified Laplace transformation method is applied to N component $\phi^4$ theory and the finite temperature problem in the massless limit is re-examined in the large N limit. We perform perturbation expansion of the dressed thermal mass in…

High Energy Physics - Theory · Physics 2016-09-06 Hirofumi Yamada

We investigate the dependence of the order parameter profile, local and total susceptibilities on both the temperature and external magnetic field within the mean-filed Ginzburg-Landau Ising type model. We study the case of a film geometry…

Statistical Mechanics · Physics 2015-08-28 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

One-band Hubbard model with hopping parameter $t$ and Coulomb repulsion $U$ is considered at half filling. By means of the Schwinger bosons and slave Fermions representation of the electron operators and integrating out the spin-singlet…

Strongly Correlated Electrons · Physics 2015-06-04 Naoum Karchev

Quantum chromodynamics with two zero-mass flavors is expected to exhibit a phase transition with O(4) critical behavior. Fixing the universality class is important for phenomenology and for facilitating the extrapolation of simulation data…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , C. DeTar , S. Gottlieb , U. M. Heller , J. Hetrick , K. Rummukainen , R. L. Sugar , D. Toussaint

In this paper we study the critical behavior of an $N$-component ${\phi}^{4}$-model in hyperbolic space, which serves as a model of uniform frustration. We find that this model exhibits a second-order phase transition with an unusual…

Statistical Mechanics · Physics 2015-11-04 Karim Mnasri , Bhilahari Jeevanesan , Jörg Schmalian

We study the behavior of two diferent models at finite temperature in a $D$-dimensional spacetime. The first one is the $\lambda\varphi^{4}$ model and the second one is the Gross-Neveu model. Using the one-loop approximation we show that in…

High Energy Physics - Theory · Physics 2015-06-26 A. P. C. Malbouisson , N. F. Svaiter

We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the…

High Energy Physics - Theory · Physics 2011-06-08 Grigoris Panotopoulos