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We use some exact results in the scalar field theory to revise the analysis by Coleman and Callan about the false vacuum decay and propose a simple non-perturbative formalism. We introduce exact Green's function which incorporates…

High Energy Physics - Theory · Physics 2024-01-22 Marco Frasca , Anish Ghoshal , Nobuchika Okada

$\lambda\varphi^4$ theory at finite temperature suffers from infrared divergences near the temperature at which the symmetry is restored. These divergences are handled using renormalization group methods. Flow equations which use a fiducial…

High Energy Physics - Theory · Physics 2007-05-23 F. Freire , Denjoe O'Connor , C. R. Stephens , M. A. van Eijck

We use variational methods to calculate quasilocal energy quantum corrections. A comparison with the effective potential calculated at quadratic order is made by means of gaussian wave functionals. The method is a particular case of the…

High Energy Physics - Theory · Physics 2007-05-23 Remo Garattini

Extracting information about a system's metastable ground state energy employing functional methods usually hinges on utilizing the late-time behavior of the Euclidean propagator, practically impeding the possibility of determining decay…

High Energy Physics - Theory · Physics 2025-08-04 Björn Garbrecht , Nils Wagner

After presenting a brief review of how simulations of QCD with imaginary chemical potential can be used to extract physical results, we analyse the phase structure of QCD with four flavours of dynamical fermions in the finite temperature -…

High Energy Physics - Lattice · Physics 2017-08-23 M. D'Elia , M. P. Lombardo

We investigate Fermi gases at finite temperature for which the in-medium effective mass may not be constant as a function of the density, the temperature, or the chemical potential. We suggest a formalism that separates the terms for which…

Nuclear Theory · Physics 2023-07-17 Mariana Dutra , Odilon Lourenço , Jérôme Margueron

Chapter one is devoted to a study of fermions and bosons in two spatial dimensions in external electromagnetic fields. The effectve action is calculated by integrating out the matter fields. In chapter two, I investigate the resummation…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Andersen

The desirability of evaluating the effective potential in field theories near a phase transition has been recognized in a number of different areas. We show that recent Monte Carlo simulations for the probability distribution for the order…

Statistical Mechanics · Physics 2011-05-12 Joseph Rudnick , William Lay , David Jasnow

We present a finite-temperature extension of the retarded cumulant Green's function for calculations of exited-state and thermodynamic properties of electronic systems. The method incorporates a cumulant to leading order in the screened…

Strongly Correlated Electrons · Physics 2017-11-01 J. J. Kas , J. J. Rehr

We investigate the effective potential of the $PT$ symmetric $(-g\phi^{4}) $ field theory, perturbatively as well as non-perturbatively. For the perturbative calculations, we first use normal ordering to obtain the first order effective…

High Energy Physics - Theory · Physics 2008-11-26 Abouzeid M. Shalaby

The real meaning of `triviality' of (lambda Phi^4)_4 theory is outlined. Assuming `triviality' leads to an effective potential that is just the classical potential plus the zero-point energy of the free-field fluctuations. This V_{eff}…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Consoli , P. M. Stevenson

The optimized effective potential (OEP) method allows for calculation of the local, effective single particle potential of density functional theory for explicitly orbital-dependent approximations to the exchange-correlation energy…

Materials Science · Physics 2015-06-25 P. Sule , S. Kurth , V. Van Doren

Classical field theories coupled to stochastic noise provide an extremely powerful tool for modeling phenomena as diverse as turbulence, pattern-formation, and the structural development of the universe itself. In this Letter we sketch a…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

The optimized linear $\delta$-expansion is applied to the $\lambda \phi^4$ theory at high temperature. Using the imaginary time formalism the thermal mass is evaluated perturbatively up to order $\delta^2$. A variational procedure…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcus B. Pinto , Rudnei O. Ramos

The effective potential of scalar quantum electrodynamics with N flavors of complex scalar fields is studied, by performing a self consistent 1/N expansion up to next to leading order in $1/N$. Starting from the broken phase at zero…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , C. E. M. Wagner

Finite temperature density functional theory provides, in principle, an exact description of the thermodynamical equilibrium of many-electron systems. In practical applications, however, the functionals must be approximated. Efficient and…

Statistical Mechanics · Physics 2015-05-19 S. Pittalis , C. R. Proetto , A. Floris , A. Sanna , C. Bersier , K. Burke , E. K. U. Gross

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schroedinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix…

Strongly Correlated Electrons · Physics 2008-02-03 Hyun Sik Noh , Sang Koo You , Chul Koo Kim

A formulation of variational principles in terms of functional integrals is proposed for any type of local plastic potentials. The minimization problem is reduced to the computation of a path integral. This integral can be used as a…

Disordered Systems and Neural Networks · Physics 2008-04-17 Y. -P. Pellegrini , M. Barthelemy , G. Perrin

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

The gauge-Higgs unification is one of influential scenarios to solve the hierarchy problem in the Standard Model. Recently, the scenario on the warped background attracts many attentions due to a large possibility to construct a realistic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Naoyuki Haba , Shigeki Matsumoto , Nobuchika Okada , Toshifumi Yamashita
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