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We analyze the finite temperature behaviour of massless conformally coupled scalar fields in homogeneous lens spaces $S^3/{\mathbb Z}_p$. High and low temperature expansions are explicitly computed and the behavior of thermodynamic…

High Energy Physics - Theory · Physics 2013-05-03 M. Asorey , C. G. Beneventano , D. D'Ascanio , E. M. Santangelo

We present a study of the equilibrium properties of $sp$-bonded solids within the pseudopotential approach, employing recently proposed generalized gradient approximation (GGA) exchange correlation functionals. We analyze the effects of the…

Condensed Matter · Physics 2016-08-31 Yumin Juan , Efthimios Kaxiras

The complete form of the high-temperature expansion of the one-loop contribution to the free energy of a scalar field on a stationary gravitational background is derived. The explicit expressions for the divergent and finite parts of the…

General Relativity and Quantum Cosmology · Physics 2013-04-23 I. S. Kalinichenko , P. O. Kazinski

Assuming that tunnel effect between two degenerate bare minima occurs, in a scalar field theory at finite volume, this article studies the consequences for the effective potential, to all loop orders. Convexity is achieved only if the two…

High Energy Physics - Theory · Physics 2016-08-24 Jean Alexandre

Inflation is often described through the dynamics of a scalar field, slow-rolling in a suitable potential. Ultimately, this inflaton must be identified as the expectation value of a quantum field, evolving in a quantum effective potential.…

High Energy Physics - Phenomenology · Physics 2021-05-11 Jens O. Andersen , Magdalena Eriksson , Anders Tranberg

One-loop effective potential of scalar-tensor gravity with a quartic scalar field self-interaction is evaluated up to first post-Minkowskian order. The potential develops an instability in the strong field regime which is expected from an…

General Relativity and Quantum Cosmology · Physics 2022-06-01 A. Arbuzov , B. Latosh , A. Nikitenko

We discuss radiative corrections to the Casimir effect from an effective field theory point of view. It is an improvement and more complete version of a previous discussion by Kong and Ravndal. By writing down the most general effective…

High Energy Physics - Theory · Physics 2009-11-07 Finn Ravndal , Jan B. Thomassen

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

Vacuum polarization corrections to the energy levels of bound electrons are calculated using a perturbative path integral formalism. We apply quantum electrodynamics in a framework which treats the strong binding nuclear field to all…

Atomic Physics · Physics 2023-09-26 Sreya Banerjee , Zoltán Harman

The values of the presently available truncated perturbative expressions for the pressure of the quark-gluon plasma at finite temperatures and finite chemical potential are trustworthy only at very large energies. When used down to…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Cvetic , R. Koegerler

The effective action formalism of quantum field theory is used to study the properties of the non-relativistic interacting Bose gas. The Gaussian approximation is formulated by calculating the effective action to the first order of the…

Soft Condensed Matter · Physics 2007-05-23 Anna Okopińska

Structured sparsity is an important modeling tool that expands the applicability of convex formulations for data analysis, however it also creates significant challenges for efficient algorithm design. In this paper we investigate the…

Optimization and Control · Mathematics 2014-10-20 Yaoliang Yu , Xinhua Zhang , Dale Schuurmans

We calculate the one-loop effective potential at finite temperature for a system of massless scalar fields with quartic interaction $\lambda\phi^4$ in the framework of the boundary effective theory (BET) formalism. The calculation relies on…

High Energy Physics - Phenomenology · Physics 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

We consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical approaches. It is shown that the truncated conformal…

High Energy Physics - Theory · Physics 2015-06-15 I. M. Szécsényi , G. Takács , G. M. T. Watts

We study non-perturbative real time correlation functions at finite temperature. In order to see whether the classical term gives a good approximation in the high temperature limit T >> \hbar\omega, we consider the first \hbar^2 quantum…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Bodeker , M. Laine , O. Philipsen

By using the renormalization group (RG) equation it has proved possible to sum logarithmic corrections to quantities that arise due to quantum effects in field theories. In particular, the effective potential V in the Standard Model in the…

High Energy Physics - Theory · Physics 2017-01-27 F. T. Brandt , F. A. Chishtie , D. G. C. McKeon

We develop a systematic method of the perturbative expansion around the Gaussian effective action based on the background field method. We show, by applying the method to the quantum mechanical anharmonic oscillator problem, that even the…

High Energy Physics - Theory · Physics 2016-08-25 Geon Hyoung Lee , Jae Hyung Yee

For nonsupersymmetric theories, the one-loop effective action can be computed via zeta function regularization in terms of the functional trace of the heat kernel associated with the operator which appears in the quadratic part of the…

High Energy Physics - Theory · Physics 2009-10-30 I. N. McArthur , T. D. Gargett

One method to reconstruct the scalar field potential of inflation is a perturbative approach, where the values of the potential and its derivatives are calculated as an expansion in departures from the slow-roll approximation. They can then…

Astrophysics · Physics 2013-11-13 Edmund Copeland , Edward W. Kolb , Andrew R. Liddle , James E. Lidsey

We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The…

Quantum Gases · Physics 2023-12-06 Piotr H. Chankowski , Jacek Wojtkiewicz , Rashad Bakhshizada
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