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We present a novel way to compute the one-loop ring-improved effective potential numerically, which avoids the spurious appearence of complex expressions and at the same time is free from the renormalization ambiguities of the…

High Energy Physics - Theory · Physics 2015-06-26 G. Palma , L. Vergara

We consider the effective field theory of the NN system in a separable representation. The pionic part of the effective potential is included nonperturbatively and approximated by a separable potential. The use of a separable representation…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Krippa , B. L. G. Bakker

In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral formalism, and have derived the one-loop effective potential…

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

By following previous work on this subject, we investigate the issue of the instability of the electroweak vacuum against the top loop corrections by performing an accurate analysis of a Higgs-Yukawa model. We find that, when the physical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincenzo Branchina , Hugo Faivre , Vincent Pangon

We propose accurate computable error bounds for quantities of interest in plane-wave electronic structure calculations, in particular ground-state density matrices and energies, and interatomic forces. These bounds are based on an…

Numerical Analysis · Mathematics 2022-10-20 Eric Cancès , Geneviève Dusson , Gaspard Kemlin , Antoine Levitt

The light-cone wave function of the pion is calculated within the Nambu-Jona-Lasinio model. The result is used to derive the pion electromagnetic form factor, charge radius, structure function, pi-gamma transition form factor and…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Heinzl

The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative formula \cite{Khondker_Khan_Anwar:1988} and alternative ways for…

Quantum Physics · Physics 2020-10-14 O. I. Hryhorchak

We investigate two different definitions of a scalar field effective potential in quantum field theory in de Sitter spacetime: the standard textbook definition, and the constraint effective potential proposed by O'Raifeartaigh et al. in…

High Energy Physics - Theory · Physics 2026-05-18 Lucas Vicente García-Consuegra , Arttu Rajantie

We briefly review our works for graviton and spherical graviton potentials in a plane-wave matrix model. To compute them, it is necessary to devise a configuration of the graviton solutions, since the plane-wave matrix model includes mass…

High Energy Physics - Theory · Physics 2007-05-23 Hyeonjoon Shin , Kentaroh Yoshida

The post Gaussian effective potential in D=3 dimensions and the Gaussian effective potential in D=2+epsilon are evaluated for the Ginzburg-Landau theory of superconductivity. It is shown that, the next order correction to the Gaussian…

Superconductivity · Physics 2009-11-10 Chul Koo Kim , A. Rakhimov , Jae Hyung Yee

The holographic formalism is applied to the calculation of the effective potential for the scalar glueball operator. Three different versions of this operator are defined, and for each we compute the associated effective potential and…

High Energy Physics - Theory · Physics 2015-05-20 Elias Kiritsis , Wenliang Li , Francesco Nitti

This paper demonstrates that complex PT-symmetric periodic potentials possess real band spectra. However, there are significant qualitative differences in the band structure for these potentials when compared with conventional real periodic…

Condensed Matter · Physics 2011-03-23 Carl M. Bender , Gerald V. Dunne , Peter N. Meisinger

In this paper, we study $\lambda \phi^4$ scalar field theory defined on the unramified extension of p-adic numbers ${\mathbb Q}_{p^n}$. For different ``space-time'' dimensions $n$, we compute one-loop quantum corrections to the effective…

High Energy Physics - Theory · Physics 2020-10-27 Dmitry S. Ageev , Andrey A. Bagrov , Askar A. Iliasov

We calculate $p\Xi^0$ potentials from the equal-time Bethe-Salpeter amplitude measured in the quenched QCD simulation with the spatial lattice volume, (4.4 fm)$^3$. The standard Wilson gauge action with the gauge coupling $\beta=5.7$ on…

High Energy Physics - Lattice · Physics 2008-11-26 H. Nemura , N. Ishii , S. Aoki , T. Hatsuda

In this work, we show that the traditional effective field approach can be applied to the $\mathcal{PT}$-symmetric wrong sign ($-x^{4}$) quartic potential. The importance of this work lies in the possibility of its extension to the more…

High Energy Physics - Theory · Physics 2009-11-06 Abouzeid M. Shalaby

We develop a method to compute the vacuum polarization energy for coupled scalar fields with different masses scattering off a background potential in one space dimension. As an example we consider the vacuum polarization energy of a…

High Energy Physics - Theory · Physics 2018-03-16 H. Weigel , M. Quandt , N. Graham

The effective field theory of heterotic vacua that realise $\mathbb{R}^{3,1}$ preserving $\mathcal{N} =1$ supersymmetry are studied. The vacua in question admit large radius limits taking the form $\mathbb{R}^{3,1}\times {X}$ , with ${X}$ a…

High Energy Physics - Theory · Physics 2017-12-06 Jock McOrist

We develop a formalism that allows the computation of the quantum effective potential of a scalar order parameter in a class of holographic theories at finite temperature and charge density. The effective potential is a valuable tool for…

High Energy Physics - Theory · Physics 2015-06-05 Elias Kiritsis , Vasilis Niarchos

The computation of the one-loop effective action in a radially symmetric background can be reduced to a sum over partial-wave contributions, each of which is the logarithm of an appropriate one-dimensional radial determinant. While these…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Jin Hur , Choonkyu Lee

Using the method of the effective potential of quantum field theory, we compute the quantum corrections to the phase diagram of systems with competing order parameters. This is specially useful to study metallic systems with competing…

Strongly Correlated Electrons · Physics 2019-11-11 Nei Lopes , Mucio A. Continentino , Daniel G. Barci
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