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Related papers: Equilibration in phi^4 theory in 3+1 dimensions

200 papers

The physics of individual Q-balls and interactions between multiple Q-balls are well-studied in classical numerical simulations. Interesting properties and phenomena have been discovered, involving stability, forces, collisions and swapping…

High Energy Physics - Theory · Physics 2023-12-05 Qi-Xin Xie , Paul M. Saffin , Anders Tranberg , Shuang-Yong Zhou

We study an attractive $\phi^4$ interaction using Tamm-Dancoff truncation with light-front coordinates in $3+1$ dimensions. The truncated theory requires a coupling constant renormalization, we compute its $\beta$ function…

High Energy Physics - Theory · Physics 2019-01-08 O. Teoman Turgut , Gökhan Yalnız

We study general quadratic reaction-diffusion systems with detailed balance, in space dimension $d \leq 4$. We show that close-to-equilibrium solutions (in an $L^2$ sense) are regular for all times, and that they relax to equilibrium…

Analysis of PDEs · Mathematics 2017-06-13 María J. Cáceres , José A. Cañizo

We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynamics is chaotic. The corresponding quantum system displays spectral fluctuations that…

chao-dyn · Physics 2009-10-31 Thomas Papenbrock , Tomaz Prosen

Data on Ke4 decays allow one to extract experimental information on the elastic pi pi scattering amplitude near threshold, and to confront the outcome of the analysis with predictions made in the framework of QCD. These predictions concern…

High Energy Physics - Phenomenology · Physics 2009-05-20 Gilberto Colangelo , Juerg Gasser , Akaki Rusetsky

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

High Energy Physics - Theory · Physics 2010-02-04 J. Berges , Sz. Borsanyi

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

It is pointed out that one-component \phi^4 lattice theory in four dimensions has a non-perturbative sector which can be studied by means of an exact duality transformation of its Ising limit. This duality maps it to a membrane model. As a…

High Energy Physics - Lattice · Physics 2009-10-30 F. Gliozzi

The one--loop determinant computed around the kink solution in the 3D $\phi^4$ theory, in cylindrical geometry, allows one to obtain the partition function of the interface separating coexisting phases. The quantum fluctuations of the…

High Energy Physics - Theory · Physics 2016-09-06 Paolo Provero , Stefano Vinti

A time dependent variational approach is used to derive the equations of motion for the \lambda \phi^4 model. The simultaneous evolution of the quantum fluctuations and of the classical part of the field is considered in a lattice of 1+1…

High Energy Physics - Phenomenology · Physics 2009-11-07 Fábio L. Braghin , Fernando S. Navarra

The self-interacting $\lambda\phi^{4}$ scalar field theory is a warhorse in quantum field theory. Here we explore the one-loop order impact from one universal extra dimension, $S^{1}/\mathbb{Z}_{2}$, to the self-energy and four point vertex…

High Energy Physics - Theory · Physics 2020-02-25 M. A. López-Osorio , E. Martínez-Pascual , G. I. Nápoles-Cañedo , J. J. Toscano

We present an explicit treatment of the two-particle-irreducible (2PI) effective action for a zero-dimensional quantum field theory. The advantage of this simple playground is that we are required to deal only with functions rather than…

High Energy Physics - Theory · Physics 2019-09-19 Peter Millington , Paul M. Saffin

We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree…

High Energy Physics - Theory · Physics 2014-11-18 Jurgen Baacke , Nina Kevlishvili

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

The paper studies the quantum action for the four-dimensional real $\phi^4$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization…

High Energy Physics - Theory · Physics 2024-10-29 A. V. Ivanov

We study numerically the three-dimensional $\phi^{4}$ spin glass, a prototypical disordered and discretized Euclidean field theory that manifests inhomogeneities in space and time but considers a homogeneous squared mass and lambda terms.…

High Energy Physics - Lattice · Physics 2024-07-10 Dimitrios Bachtis

We discuss the formulation of the prototype gauge field theory, QED, in the context of two-particle-irreducible (2PI) functional techniques with particular emphasis on the issues of renormalization and gauge symmetry. We show how to…

High Energy Physics - Phenomenology · Physics 2010-04-22 U. Reinosa , J. Serreau

We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar $\phi^4$ model with an additional oscillator potential. This model is known to…

High Energy Physics - Theory · Physics 2008-11-26 Michael Wohlgenannt

We study the $\frac{\lambda}{4!}\phi^{4}$ massless scalar field theory in a four-dimensional Euclidean space, where all but one of the coordinates are unbounded. We are considering Dirichlet boundary conditions in two hyperplanes, breaking…

High Energy Physics - Theory · Physics 2009-11-11 M. Aparicio Alcalde , G. Flores Hidalgo , N. F. Svaiter

The lambda phi4 scalar field model can be applied to interpret pion-pion scattering and properties of hadrons. In this work, the mathematical basis, phase transitions and singularities of a (3+1)-dimensional (i.e., (3+1)D) phi4 scalar field…

General Physics · Physics 2026-03-26 Zhidong Zhang