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We give here a field-theoretical derivation of the Hamiltonian of the non-relativistic quantum electrodynamics in the Coulomb gauge using the Lagrange formalism. It leads to the same result as the usual derivation, where one just replaces…

Quantum Physics · Physics 2019-07-31 Ladislaus Alexander Banyai , Mircea Bundaru

In this thesis we study field theoretic viewpoints on certain fluid mechanical phenomena. In the Higgs mechanism, the weak gauge bosons acquire masses by interacting with a scalar field, leading to a vector boson mass matrix. On the other…

Fluid Dynamics · Physics 2020-10-13 Sachin Shyam Phatak

We present a novel extension of Hamiltonian mechanics to nonconservative systems built upon the Schwinger-Keldysh-Galley double-variable action principle. Departing from Galley's initial-value action, we clarify important subtleties…

Classical Physics · Physics 2025-07-28 Christopher Aykroyd , Adrien Bourgoin , Christophe Le Poncin-Lafitte

The symmetries of a free incompressible fluid span the Galilei group, augmented with independent dilations of space and time. When the fluid is compressible, the symmetry is enlarged to the expanded Schroedinger group, which also involves,…

Fluid Dynamics · Physics 2010-02-11 P. -M. Zhang , P. A. Horvathy

The Galileon scalar field theory is a prototypical example of an effective field theory that exhibits the Vainshtein screening mechanism, which is incorporated into many extensions to Einstein gravity. The Galileon describes the helicity…

High Energy Physics - Theory · Physics 2022-08-31 Mary Gerhardinger , John T. Giblin , Andrew J. Tolley , Mark Trodden

We elaborate on the effective field theory (EFT) construction for dissipative open systems coupled to dynamical gravity, in light of recent developments on the EFT of dissipative hydrodynamics (HydroEFT). Our construction is based on the…

High Energy Physics - Theory · Physics 2024-12-31 Pak Hang Chris Lau , Kanji Nishii , Toshifumi Noumi

This is the first in a series of papers on the construction and validation of a three-dimensional code for general relativistic hydrodynamics, and its application to general relativistic astrophysics. This paper studies the consistency and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. A. Font , M. Miller , W. Suen , M. Tobias

New exact solutions of relativistic perfect fluid hydrodynamics are described, including the first family of exact rotating solutions. The method used to search for them is an investigation of the relativistic hydrodynamical equations and…

Nuclear Theory · Physics 2011-05-13 M. I. Nagy

Nonlinear hydrodynamic interactions can change the relaxation of fluctuations from exponential to power-law decay at late times. Schwinger-Keldysh effective field theory provides a standard framework for describing such fluctuation effects,…

High Energy Physics - Theory · Physics 2026-05-06 Dong-Lin Wang , Shi Pu

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

We consider models of relativistic matter containing sharp interfaces across which the matter model changes. These models will be relevant for neutron stars with crusts, phase transitions, or for viscous boundaries where the length scale is…

General Relativity and Quantum Cosmology · Physics 2010-01-06 S. T. Millmore , I. Hawke

Advantages of using a low-energy effective theory to study bound state properties are briefly discussed, and a nonperturbative implementation of such an effective theory is described within the context of nonrelativistic quantum mechanics.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Richard Hill

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

New solutions are found for the non-relativistic hydrodynamical equations. These solutions describe expanding matter with a Gaussian density profile. In the simplest case, thermal equilibrium is maintained without any interaction, the…

Nuclear Theory · Physics 2009-10-31 P. Csizmadia , T. Csorgo , B. Lukacs

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting N-component fields. Our…

Quantum Gases · Physics 2022-04-14 Robert Ott , Torsten V. Zache , Jürgen Berges

We review recent progress and a number of future directions for applications of effective field theory methods to condensed matter systems broadly defined. Our emphasis is on areas that have allowed a fertile exchange of ideas between high…

High Energy Physics - Theory · Physics 2022-03-22 Tomas Brauner , Sean A. Hartnoll , Pavel Kovtun , Hong Liu , Márk Mezei , Alberto Nicolis , Riccardo Penco , Shu-Heng Shao , Dam Thanh Son

We study Abelian Maxwell-Chern-Simons theory in three-dimensional $AdS$ black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in…

High Energy Physics - Theory · Physics 2015-06-22 Han-Chih Chang , Mitsutoshi Fujita , Matthias Kaminski

Generalizing the collision term in the relativistic Boltzmann equation to include nonlocal effects, and using Grad's 14-moment approximation for the single-particle distribution function, we derive evolution equations for the relativistic…

Nuclear Theory · Physics 2013-03-13 Amaresh Jaiswal , Rajeev S. Bhalerao , Subrata Pal

In the Klein-Gordon equation, quantum and relativistic parameters are strongly coupled, which poses significant analytical challenges in the derivation and analysis of related classical fluid models. In this paper, starting from the…

Analysis of PDEs · Mathematics 2026-01-06 Ben Duan , Jun Li , Bin Guo , Rongrong Yan
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