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An infinite sequence of potential well functions is considered. A trial wavefunction is used with the Schr$\ddot{\text{o}}$dinger equation to obtain an approximate ground state energy for each potential well function. We obtain an…

Quantum Physics · Physics 2018-03-07 Rodney O. Weber

We study a finite temperature two-loop resummed effective potential in the Abelian gauge theory. A tractable calculation scheme without using a high-temperature expansion is devised. We apply it to the Abelian-Higgs model and its extension…

High Energy Physics - Phenomenology · Physics 2013-03-14 Koichi Funakubo , Eibun Senaha

In theories with spontaneous symmetry breaking, the loop expansion of the effective potential is awkward. In such theories, the exact effective potential $V(\phi_c,T)$ is real and convex (as a function of the classical field $\phi_c$), but…

High Energy Physics - Phenomenology · Physics 2009-10-22 Kevin Cahill

A complete calculation of the finite temperature effective potential for the abelian Higgs model to the order $e^4,\lambda^2$ is presented and the result is expressed in terms of physical parameters defined at zero temperature. The absence…

High Energy Physics - Phenomenology · Physics 2009-10-22 Arthur Hebecker

Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is studied. The effective action in the symmetric large-N regime is analyzed using a…

High Energy Physics - Theory · Physics 2020-03-06 Alexios P. Polychronakos

The high temperature limit of a system of two D-0 branes is investigated. The partition function can be expressed as a power series in $\beta$ (inverse temperature). The leading term in the high temperature expression of the partition…

High Energy Physics - Theory · Physics 2009-10-31 Subrata Bal , B. Sathiapalan

Motivated by bubble nucleation in first order phase transitions, we question the validity of the effective potential for inhomogeneous configurations. In an attempt to get some insight into the importance of derivative terms, we analyze a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Scott Dodelson , Ben-Ami Gradwohl

The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Briginshaw

We use a semiclassical approximation to derive the partition function for an arbitrary potential in one-dimensional Quantum Statistical Mechanics, which we view as an example of finite temperature scalar Field Theory at a point. We rely on…

Quantum Physics · Physics 2009-10-31 C. A. A. de Carvalho , R. M. Cavalcanti

We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This allows one to deal with the infrared problems of theories…

High Energy Physics - Theory · Physics 2017-10-17 Christof Wetterich

The structural and thermodynamic properties of fluids whose molecules interact via potentials with a hard-core plus a square well, a square shoulder, and a second square well, are considered. Those properties are derived by using a…

Soft Condensed Matter · Physics 2022-08-09 Santos B. Yuste , Andrés Santos , Mariano López de Haro

Effective field theory methods provide a convenient approach to study static observables in field theory at finite temperature. In this talk, I will outline the construction of the effective field theory that describes effective observables…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Nieto

We investigate the thermalization process of the Universe after inflation to determine the evolution of the effective temperature. The time scale of thermalization is found to be so long that it delays the evolution of the effective…

High Energy Physics - Phenomenology · Physics 2016-02-03 Kyohei Mukaida , Masaki Yamada

Double--folded optical $\alpha$--nucleus potentials can be used to calculate elastic scattering cross sections in a wide mass-- and energy region. Because of the systematic behavior of the potential parameters we are able to obtain reliable…

Nuclear Theory · Physics 2009-09-25 P. Mohr , H. Abele , U. Atzrott , G. Staudt , R. Bieber , K. Grün , H. Oberhummer , T. Rauscher , E. Somorjai

Temperature effects in a scalar field non-minimally coupled to gravity are investigated. The Thermo Field Dynamics formalism is used. This is a topological field theory that allows us to calculate different effects, such as the…

General Relativity and Quantum Cosmology · Physics 2022-03-22 A. F. Santos , Faqir C. Khanna

The finite-temperature effective potential of the O(N) linear \sigma model is studied, with emphasis on the implications for the investigation of hot hadron dynamics. The contributions from all the ``bubble diagrams'' are fully taken into…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Amelino-Camelia

By using a usual instanton method we obtain the energy splitting due to quantum tunneling through the triple well barrier. It is shown that the term related to the midpoint of the energy splitting in propagator is quite different from that…

Quantum Physics · Physics 2009-10-30 Soo-Young Lee , Jae-Rok Kahng , Sahng-Kyoon Yoo , D. K. Park , C. H. Lee , Chang Soo Park , Eui-Soon Yim

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

Given a field vacuum state in a black hole spacetime, this state can be analysed in terms of how it is perceived (in terms of particle content) by different observers. This can be done by means of the effective-temperature function…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Luis C. Barbado , Carlos Barceló , Luis J. Garay

We show that it needs a more delicate potential to confine particles inside a well. The original model containing a vague notation of infinity in the potential energy is ambiguous. Using the Heaviside step function and the Dirac…

Quantum Physics · Physics 2015-05-04 Chyi-Lung Lin