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This is a survey on the Strominger system and a geometric flow known as the anomaly flow. We will discuss various aspects of non-K\"ahler geometry on Calabi-Yau threefolds. Along the way, we discuss balanced metrics and balanced classes,…

Differential Geometry · Mathematics 2025-07-11 Sébastien Picard

We study the effect of conformal anomalies on the hydrodynamic description of conformal field theories in even spacetime dimensions. We consider equilibrium curved backgrounds characterized by a time-like Killing vector and construct a…

High Energy Physics - Theory · Physics 2015-06-12 Christopher Eling , Yaron Oz , Stefan Theisen , Shimon Yankielowicz

We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order expansion with out-of-equilibrium contribution proportional…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Federico Schianchi , Fernando Abalos

We establish a Lagrangian variational framework for general relativistic continuum theories that permits the development of the process of Lagrangian reduction by symmetry in the relativistic context. Starting with a continuum version of…

Mathematical Physics · Physics 2024-09-23 François Gay-Balmaz

The holographic interpretation of the hydrodynamic entropy current is developed for the case of hydrodynamics with a conserved charge. This is carried out within a framework developed in earlier work, which showed how to associate entropy…

High Energy Physics - Theory · Physics 2013-08-26 Grzegorz Plewa , Michal Spalinski

We show that relativistic hydrodynamics in Minkowski space-time has intrinsic ambiguity in second order viscosity parameters in the Landau-Lifshitz frame. This stems from the possibility of improvements of energy-momentum tensor. There…

High Energy Physics - Theory · Physics 2012-10-08 Yu Nakayama

The subject of relativistic hydrodynamics is explored using the tools of gauge/gravity duality. A brief literature review of AdS/CFT and gauge/gravity duality is presented first. This is followed by a pedagogical introduction to the use of…

High Energy Physics - Theory · Physics 2009-08-13 Todd Springer

We consider the hydrodynamic regime of a 2+1 dimensions QFT with the parity anomaly. Beyond the known constraints from positivity of entropy production, we show that the anomaly inflow mechanism, from a corresponding bulk SPT phase,…

High Energy Physics - Theory · Physics 2022-02-23 Napat Poovuttikul

Relativistic cosmological perturbation analyses can be made based on several different fundamental gauge conditions. In the pressureless limit the variables in certain gauge conditions show the correct Newtonian behaviors. Considering the…

Astrophysics · Physics 2015-06-24 J. Hwang , H. Noh

A generalization of entropy to near-equilibrium phenomena is provided by the notion of a hydrodynamic entropy current. Recent advances in holography have lead to the formulation of fluid-gravity duality, a remarkable connection between the…

High Energy Physics - Theory · Physics 2011-03-29 Ivan Booth , Michal P. Heller , Michal Spalinski

A general thermodynamic treatment of dissipative relativistic fluids is introduced, where the temperature four vector is not parallel to the velocity field of the fluid. Generic stability and kinetic equilibrium points out a particular…

General Relativity and Quantum Cosmology · Physics 2014-05-27 P. Ván , T. S. Biró

We examine hydrodynamics from the perspective of an effective field theory. The microscopic scale in this case is the thermalization scale, and the macroscopic scale is the gradient, with thermal fluctuations playing the role of $\hbar$. We…

High Energy Physics - Theory · Physics 2019-07-24 David Montenegro , Radoslaw Ryblewski , Giorgio Torrieri

We expand the classical phase-space distribution function to incorporate couplings between spin and electromagnetic fields. This extension has led to the derivation of modified constitutive relations for the charge current, energy-momentum…

High Energy Physics - Phenomenology · Physics 2025-02-18 Rajeev Singh , Masoud Shokri , S. M. A. Tabatabaee

We introduce a general decomposition of the stress tensor for incompressible fluids in terms of its components on a tensorial basis adapted to the local flow conditions, which include extensional flows, simple shear flows, and any type of…

Fluid Dynamics · Physics 2018-04-30 Giulio G. Giusteri , Ryohei Seto

The entropy production occurring in relativistic hydrodynamical systems such as the quark-gluon plasma (QGP) formed in high-energy nuclear collisions is explored. We study mechanisms which change the composition of the fluid, i.e. particle…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. -Th. Elze , J. Rafelski , L. Turko

We address the problem of the energy conditions in modified gravity taking into account the additional degrees of freedom related to scalar fields and curvature invariants. The latter are usually interpreted as generalized {\it geometrical…

General Relativity and Quantum Cosmology · Physics 2015-05-05 José P. Mimoso , Francisco S. N. Lobo , Salvatore Capozziello

The General Lagrangian Mean (GLM) theory uses a set of averaged equations of fluid dynamics to describe interactions between mean flows and waves. These equations are formulated in coordinates that follow the fluid's average velocity and…

Fluid Dynamics · Physics 2026-03-10 V. A. Vladimirov

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

I show how there is an ambiguity in how one treats auxiliary variables in gauge theories including general relativity cast as 3 + 1 geometrodynamics. Auxiliary variables may be treated pre-variationally as multiplier coordinates or as the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Edward Anderson

Recent years have seen much development in analyzing the structure of relativistic hydrodynamics. In this proceeding, some of the developments are highlighted including issues related to pseudo-gauge transformations and spin hydrodynamics.

Nuclear Theory · Physics 2023-10-18 Sangyong Jeon