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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 consider the massive vector $N$-component $(\lambda\phi^{4})_{D}$ theory in Euclidian space and, using an extended Matsubara formalism we perform a compactification on a $d$-dimensional subspace, $d\leq D$. This allows us to treat…

High Energy Physics - Theory · Physics 2014-11-18 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors

We study the realization of dimensional reduction and the validity of the hard thermal loop expansion for lambda phi^4 theory at finite temperature, using an environmentally friendly finite-temperature renormalization group with a fiducial…

High Energy Physics - Theory · Physics 2009-11-10 C. R. Stephens , Axel Weber , Peter O. Hess , Francisco Astorga

Starting from renormalised Effective Lagrangian, in the presence of an external Chromo-Electric field at finite temperature, the expression for thermal coupling constant ($\alpha = (g^2)/(4 \pi)$) as a function of temperature and external…

High Energy Physics - Theory · Physics 2007-05-23 Avijit K. Ganguly

We discuss the chiral symmetry restoration at high temperature and chemical potential for a four-fermion interaction theory in arbitrary dimensions ($2\leq D<4$). To investigate the ground state of the theory we calculate the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Inagaki

We report thermodynamic values of four-point renormalized coupling constant calculated by Monte Carlo simulations in the continuum limits of the lattice versions of the two-dimensional O(2) and O(3) non-linear sigma models. In each case the…

High Energy Physics - Lattice · Physics 2016-08-31 Jae-Kwon Kim

We use methods of quantum field theory in toroidal topologies to study the $N$-component $D$-dimensional massive Gross-Neveu model, at zero and finite temperature, with compactified spatial coordinates. We discuss the behavior of the…

High Energy Physics - Theory · Physics 2015-06-04 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Thermal behavior of effective, chiral condensate-dependent $U_A(1)$ anomaly couplings is investigated using the functional renormalization group approach in the $N_f = 3$ flavor meson model. We derive flow equations for anomaly couplings…

High Energy Physics - Phenomenology · Physics 2024-02-29 G. Fejos , A. Patkos

In a 4D four-fermion model we study the dynamical restoration of Lorentz and CPT symmetries at finite temperature. We evaluate the gap equation both at zero and at finite temperature and observe that, depending on the parameters of the…

High Energy Physics - Theory · Physics 2008-12-24 M. Gomes , T. Mariz , J. R. Nascimento , A. F. Santos , A. Yu. Petrov , A. J. da Silva

We make a detailed analysis of the spontaneous $Z_{2}$-symmetry breaking in the two dimensional real $\phi^{4}$ theory with the tensor renormalization group approach, which allows us to take the thermodynamic limit easily and determine the…

High Energy Physics - Lattice · Physics 2019-06-26 Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Ryo Sakai , Shinji Takeda , Yusuke Yoshimura

We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation…

High Energy Physics - Lattice · Physics 2009-10-30 P. Butera , M. Comi

In this paper the phase structure of the massive $\lambda \phi^4$ model at finite temperature ($T \neq 0$) is investigated by applying a resummation method inspired by the renormalization-group (RG) improvement to the one-loop effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

For a large class of field theories there exist portions of parameter space for which the loop expansion predicts increased symmetry breaking at high temperature. Even though this behavior would clearly have far reaching implications for…

High Energy Physics - Theory · Physics 2009-10-28 Thomas G. Roos

We consider the thermal behavior of a large number of matrix degrees of freedom in the planar limit. We work in $0+1$ dimensions, with $D$ matrices, and use $1/D$ as an expansion parameter. This can be thought of as a non-commutative…

High Energy Physics - Theory · Physics 2024-12-03 Takanori Anegawa , Norihiro Iizuka , Daniel Kabat

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 explore the phase diagram of the 4D compact U(1) gauge theory at finite temperature as a function of the gauge coupling and of the compactified Euclidean time dimension L_t. We show that the strong-to-weak coupling transition, which is…

High Energy Physics - Lattice · Physics 2013-09-25 Claudio Bonati , Massimo D'Elia

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 derive explicitly the thermal state of the two coupled harmonic oscillator system when the spring and coupling constants are arbitrarily time-dependent. In particular, we focus on the case of sudden change of frequencies. In this case we…

Quantum Physics · Physics 2020-03-13 DaeKil Park

We calculate the explicit expression of the effective potential in a $\lambda\phi^4$ theory at finite temperature in a static universe for arbitrary spacetime dimensions (2\leq D < 5). To study the combined effects of the temperature and…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono
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