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We present a detailed derivation of the quantum and quantum-thermal effective action for non-relativistic systems, starting from the single particle case and extending to the Gross-Pitaevskii (GP) field theory for weakly interacting bosons.…

Quantum Gases · Physics 2025-12-02 Luca Salasnich

We review the use of an exact renormalization group equation in quantum field theory and statistical physics. It describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. Non-perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Berges , N. Tetradis , C. Wetterich

We present a semiclassical treatment of one-dimensional many-body quantum systems in equilibrium, where quantum corrections to the classical field approximation are systematically included by a renormalization of the classical field…

Statistical Mechanics · Physics 2020-06-25 Alvise Bastianello , Maksims Arzamasovs , Dimitri M. Gangardt

We study the functional renormalization group equation and its solutions of the gravity having the background matters. From the system equivalence eliminating vacuum divergence, we are confirmed to give Newton coupling. We also give the…

High Energy Physics - Theory · Physics 2024-11-06 Daiki Yamaguchi

Recent and upcoming experimental data as well as the possibility of rich phenomenology has spiked interest in studying the quantum gravitational effects in cosmology at low (inflation-era) energy scales. While Planck scale physics is under…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Sandeep Aashish , Sukanta Panda

An effective field theory is derived that describes the quantum critical behavior of itinerant ferromagnets in the presence of quenched disorder. In contrast to previous approaches, all soft modes are kept explicitly. The resulting…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , Maria Teresa Mercaldo , Sharon L. Sessions

The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the…

High Energy Physics - Theory · Physics 2020-10-28 Breno L. Giacchini , Tibério de Paula Netto , Ilya L. Shapiro

We analyze the effect induced on standard quantum field theory (in functional approach) by quantum gravity corrections to a pure classical background. In the framework of the Kucha\v{r} and Torre proposal for a gravity-matter theory…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Giulia Maniccia , Giovanni Montani

The normalization of the quantum corrected action is resolving the equation divergent dependence of the cutoff towards the system apparent result in quantum gravity. Here we consider the normalization to Einstein R twice scalar action with…

High Energy Physics - Theory · Physics 2025-02-25 Daiki Yamaguchi

We discuss the calculation of one-loop effective actions in Lorentzian spacetimes, based on a very simple application of the method of steepest descent to the integral over the field. We show that for static spacetimes this procedure agrees…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Alessio Baldazzi , Roberto Percacci , Vedran Skrinjar

We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can…

High Energy Physics - Theory · Physics 2020-03-11 Vítor F. Barra , Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Christian G. Boehmer , Erik Jensko

An exact renormalization group equation describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. It interpolates between the microphysical laws and the complex macroscopic phenomena. We…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Wetterich

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings, etc. which include the class of quantum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Akhundov , S. Bellucci , A. Shiekh

Using as inspiration the well known chiral effective lagrangian describing the interactions of pions at low energies, in these lectures we review the quantization procedure of Einstein gravity in the spirit of effective field theories. As…

High Energy Physics - Theory · Physics 2014-11-20 D. Espriu , D. Puigdomenech

We discuss the computation of the quantum effective action of strongly interacting field theories using holographic duality, and its use to determine quasi-equilibrium parameters of first order phase transitions relevant for gravitational…

High Energy Physics - Theory · Physics 2022-03-31 Fëanor Reuben Ares , Oscar Henriksson , Mark Hindmarsh , Carlos Hoyos , Niko Jokela

The effective classical/quantum dynamics of a particle constrained on a closed line embedded in a higher dimensional configuration space is analyzed. By considering explicit examples it is shown how different reduction mechanisms produce…

High Energy Physics - Theory · Physics 2007-05-23 P. Maraner

By parametrizing the action integral for the standard Schrodinger equation we present a derivation of the recently proposed method for quantizing a parametrized theory. The reformulation suggests a natural extension from conventional to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Charles H-T Wang , Smaragda Kessari , Edward R Irvine

Effective field theories have been successful in describing nuclei up to the alpha particle but face significant challenges for larger nuclei due to leading-order instabilities. These issues can be addressed with the introduction of a fake…

Nuclear Theory · Physics 2025-12-02 U. van Kolck

We apply the ideas of effective field theory to nonrelativistic quantum mechanics. Utilizing an artificial boundary of ignorance as a calculational tool, we develop the effective theory using boundary conditions to encode short-ranged…

Atomic Physics · Physics 2022-06-13 David M. Jacobs , Matthew Jankowski
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