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A simple pedagogical introduction to the effective action method of quantum field theory is given at a level suitable for beginning postgraduate students. It is shown how to obtain the effective potential at zero temperature from a…

Statistical Mechanics · Physics 2008-02-03 David J. Toms

We clarify basic properties of an effective action (i.e., self-consistent perturbation expansion) for interacting Bose-Einstein condensates, where field $\psi$ itself acquires a finite thermodynamic average $\langle \psi\rangle$ besides…

Quantum Gases · Physics 2014-05-22 Takafumi Kita

The one-loop effective potential for non-relativistic bosons with a delta function repulsive potential is calculated for a given chemical potential using functional methods. After renormalization and at zero temperature it reproduces the…

Statistical Mechanics · Physics 2009-10-30 T. Haugset , H. Haugerud , F. Ravndal

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

The effective-action formalism is applied to a gas of bosons. The equations describing the condensate and the excitations are obtained using the loop expansion for the effective action. For a homogeneous gas the Beliaev expansion in terms…

Condensed Matter · Physics 2009-11-07 Emil Lundh , Jorgen Rammer

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

We advance a novel method for the finite-temperature effective action for nonequilibrium quantum fields and find the QED effective action in time-dependent electric fields, where charged pairs evolve out of equilibrium. The imaginary part…

High Energy Physics - Theory · Physics 2014-11-21 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

We continue our earlier work [Ana Maria Rey, B. L. Hu, Esteban Calzetta, Albert Roura and Charles W. Clark, Phys. Rev. A 69, 033610 (2004)] on the nonequilibrium dynamics of a Bose Einstein condensate (BEC) selectively loaded into every…

Other Condensed Matter · Physics 2015-06-24 Ana Maria Rey , B. L. Hu , Esteban Calzetta , Charles W. Clark

We derive the fundamental thermodynamic equation for Fermi-Dirac and Bose-Einstein quantum gases, which contains the first order contribution due to the quantum nature of the gas particles. Then, we analyze the fundamental equation in the…

General Relativity and Quantum Cosmology · Physics 2024-03-22 Sasha A. Zaldivar , Hernando Quevedo

Starting with a scalar field in a thermal bath and using the one loop quantum correction potential, we rewrite the Klein-Gordon equation in its thermodynamical representation and study the behavior of this scalar field due to temperature…

General Relativity and Quantum Cosmology · Physics 2014-02-04 T. Matos , A. Suárez

We compute the gravitational effective action by integrating out quantum matter fields in a weak gravitational field, using the Schwinger-Keldysh (in-in) formalism. We pay particular attention to the role of the initial quantum state in the…

High Energy Physics - Theory · Physics 2017-11-15 M. Elías , F. D. Mazzitelli , L. G. Trombetta

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

The effective action is derived for a self-interacting theory with a finite fixed $O(2)$ charge at finite temperature in curved spacetime. We obtain the high temperature expansion of the effective action in the weak coupling limit. In the…

High Energy Physics - Theory · Physics 2007-05-23 Min-Ho Lee , Hyeong-Chan Kim , Jae Kwan Kim

In the paper we consider a hydrodynamical description of a nonideal Bose gas in one-loop approximation. We calculate an effective action which consists of mean field contributions and first quantum correction. This provides the equations of…

Statistical Mechanics · Physics 2008-02-03 K. N. Ilinski , A. S. Stepanenko

We compute the one loop effective action for a Quantum Field Theory at finite temperature, in the presence of background gauge fields, employing the Heat-Kernel method. This method enables us to compute the thermal corrections to the Wilson…

High Energy Physics - Theory · Physics 2025-02-26 Joydeep Chakrabortty , Subhendra Mohanty

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges

In this Thesis we study quantum corrections to the classical dynamics for mean values in field theory. To that end we make use of the formalism of the closed time path effective action to get real and causal equations of motion. We…

High Energy Physics - Theory · Physics 2007-05-23 Diego A. R. Dalvit

Using the linearized version of the time dependent Gross-Pitaevskii equation we calculate the dynamic response of a Bose-Einstein condensed gas to periodic density and particle perturbations. The zero temperature limit of the…

Quantum Gases · Physics 2019-02-20 Sandro Stringari

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

The effective action formalism introduced by Vilkovisky and later modified by DeWitt is completely covariant suitable for obtaining an effective action that is independent of the parametrization of the quantum fields. Among a few basic…

High Energy Physics - Theory · Physics 2024-06-27 Sukanta Panda , Abbas Tinwala , Ketankumar Jadav
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