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Related papers: Optimized delta expansion for relativistic nuclear…

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The optimized $\delta$-expansion is used to study vacuum polarization effects in the Walecka model. The optimized $\delta$-expansion is a nonperturbative approach for field theoretic models which combines the techniques of perturbation…

Nuclear Theory · Physics 2009-10-28 G. Krein , D. P. Menezes , M. B. Pinto

The possibility of using the optimized $\delta$ expansion for studying medium effects on hadronic properties in quark or nuclear matter is investigated. The $\delta$ expansion is employed to study density effects with two commonly used…

High Energy Physics - Phenomenology · Physics 2009-09-25 G. Krein , D. P. Menezes , M. Nielsen , M. B. Pinto

We use an optimised perturbation expansion called the linear delta-expansion to study the phase transition in a Higgs sector with a continuous symmetry and large couplings. Our results show how to use this non-perturbative method…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , M. Ivin , M. Mobius

The thermodynamics of a scalar field with a quartic interaction is studied within the linear delta expansion (LDE) method. Using the imaginary-time formalism the free energy is evaluated up to second order in the LDE. The method generates…

High Energy Physics - Phenomenology · Physics 2009-01-05 R. L. S. Farias , G. Krein , R. O. Ramos

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

We apply the linear $\delta$-expansion (LDE), originally developed as a nonperturbative, analytical approximation scheme in quantum field theory, to problems involving noninteracting electrons in disordered solids. The initial idea that the…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. P. Blencowe , A. P. Korte

The linear delta expansion is applied to the 3-dimensional O(N) scalar field theory at its critical point in a way that is compatible with the large-N limit. For a range of the arbitrary mass parameter, the linear delta expansion for…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Eugeniu Radescu

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 show how the linear delta expansion, as applied to the slow-roll transition in quantum mechanics, can be recast in the closed time-path formalism. This results in simpler, explicit expressions than were obtained in the Schr\"odinger…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. J. Bedingham , H. F. Jones

We use the optimized perturbation theory, or linear delta expansion, to evaluate the critical exponents in the critical 3d O(N) invariant scalar field model. Regarding the implementation procedure, this is the first successful attempt to…

Other Condensed Matter · Physics 2009-11-10 Marcus Benghi Pinto , Rudnei O. Ramos , Paulo J. Sena

The linear $\delta$ expansion is used to obtain corrections up to O$(\delta^2)$ to the self-energy for a complex scalar field theory with a $\lambda (\phi^{\star}\phi)^2$ interaction at high temperature and non-zero charge density. The…

High Energy Physics - Theory · Physics 2011-07-19 H. F. Jones , Philip Parkin

We introduce and discuss the method of Linear Delta Expansion for the calculation of effective potentials in superspace, by adopting the improved version of the super-Feynman rules. Calculations are carried out up to two-loops and an…

High Energy Physics - Theory · Physics 2008-11-26 M. C. B. Abdalla , J. A. Helayël-Neto , Daniel L. Nedel , Carlos R. Senise

We revisit the question of how to calculate correlations of the curvature perturbation, $\zeta$, using the $\delta N$ formalism when one cannot employ a truncated Taylor expansion of $N$. This problem arises when one uses lattice…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-28 Shailee V. Imrith , David J. Mulryne , Arttu Rajantie

We apply the linear delta expansion to the quantum mechanical version of the slow rollover transition which is an important feature of inflationary models of the early universe. The method, which goes beyond the Gaussian approximation,…

High Energy Physics - Theory · Physics 2009-10-31 H. F. Jones , P. Parkin , D. Winder

We use a very simple version of the optimized (linear) $\delta $ - expansion by scaling the free part of the Lagrangian with a variational parameter. This method is well suited to calculate the renormalized coupling constant in terms of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Gromes

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

The structure of infinite nuclear matter is studied with two of the Zimanyi - Moszkowski (ZM) models in the framework of a relativistic approximation which takes into account Hartree terms and beyond and is compared with the results which…

Nuclear Theory · Physics 2009-09-25 A. Delfino , M. Malheiro , D. P. Menezes

The development of systematic effective field theories (EFTs) for nuclear forces and advances in solving the nuclear many-body problem have greatly improved our understanding of dense nuclear matter and the structure of finite nuclei. For…

Nuclear Theory · Physics 2025-09-30 Brendan T. Reed , Matthias Heinz , Pierre Arthuis , Achim Schwenk , Ingo Tews

A new version of the delta expansion is presented, which, unlike the conventional delta expansion, can be used to do nonperturbative calculations in a self-interacting scalar quantum field theory having broken symmetry. We calculate the…

High Energy Physics - Theory · Physics 2009-12-30 Carl M. Bender , Kimball A. Milton

We analyzed the results for finite nuclei and infinite nuclear and neutron matter using the standard $\sigma-\omega$ model and with the effective field theory. For the first time, we have shown here quantitatively that the inclusion of…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra
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