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We develop a homological generalization of Green hyperbolic operators, called Green hyperbolic complexes, which cover many examples of derived critical loci for gauge-theoretic quadratic action functionals in Lorentzian signature. We define…

数学物理 · 物理学 2023-07-25 Marco Benini , Giorgio Musante , Alexander Schenkel

(1+1)d QFTs provide a tractable arena for understanding the emergence of hydrodynamics in thermal states. At high temperatures this process is governed by the weak breaking of conformal symmetry, and so in this limit many features of the…

高能物理 - 理论 · 物理学 2025-12-15 Richard A. Davison , Hanzhi Jiang

We analyse the distinction between the three different ground states presented by a system of spinless bosons with short-range interactions submitted to a random potential using the disordered Bose-Hubbard model. The criteria for…

量子气体 · 物理学 2021-08-31 Renan da Silva Souza , Axel Pelster , Francisco E. A. dos Santos

We study the radial flow of retarded Green's function of energy-momentum tensor and $R$-current of dual gauge theory in presence of generic higher derivative terms in bulk Lagrangian. These are first order non-linear Riccati equations. We…

高能物理 - 理论 · 物理学 2014-11-21 Nabamita Banerjee , Suvankar Dutta

We establish sharp pointwise Green's function bounds and consequent linearized and nonlinear stability for smooth traveling front solutions, or relaxation shocks, of general hyperbolic relaxation systems of dissipative type, under the…

偏微分方程分析 · 数学 2007-05-23 Corrado Mascia , Kevin Zumbrun

We investigate topological invariants in strongly interacting many-body systems within holographic mean-field theory (H-MFT) framework. Analytic expressions for retarded Green's functions are obtained for all possible fermionic bilinear…

高能物理 - 理论 · 物理学 2025-08-05 Moongul Byun , Taewon Yuk , Young-Kwon Han , Debabrata Ghorai , Sang-Jin Sin

The pointwise space-time behavior of the Green's function of the three-dimensional modified Vlasov-Poisson-Boltzmann system is studied in this paper. It is shown that the Green's function has a decomposition of the macroscopic diffusive…

偏微分方程分析 · 数学 2026-04-16 Yanchao Li , Luobin Qiu , Mingying Zhong

In this work we analyze the hydrodynamics of a $p-$ wave superfluid on its strongly coupled regime by considering its holographic description. We obtain the poles of the retarded Green function through the computation of the quasi-normal…

高能物理 - 理论 · 物理学 2015-06-22 Raul E. Arias , Ignacio Salazar Landea

Small perturbations of a black brane are interpreted as small deviations from thermodynamic equilibrium in a dual theory with the AdS/CFT correspondence. In this paper, we calculate hydrodynamics of the dual Yang-Mills theory in the gravity…

高能物理 - 理论 · 物理学 2009-12-15 Mitsutoshi Fujita

The single electron Green's function of the one-dimensional Tomonaga-Luttinger model in the presence of open boundaries is calculated with bosonization methods. We show that the critical exponents of the local spectral density and of the…

凝聚态物理 · 物理学 2009-10-28 Sebastian Eggert , Henrik Johannesson , Ann Mattsson

The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's function consists of the macroscopic diffusive waves and Huygens…

偏微分方程分析 · 数学 2023-10-02 Hai-Liang Li , Tong Yang , Mingying Zhong

We study pole skipping in holographic CFTs dual to diffeomorphism invariant theories containing an arbitrary number of bosonic fields in the large $N$ limit. Defining a weight to organize the bulk equations of motion, a set of general…

高能物理 - 理论 · 物理学 2022-12-02 Diandian Wang , Zi-Yue Wang

We study energy-momentum and charge transport in strongly interacting holographic quantum field theories in an anisotropic thermal state by contrasting three different holographic methods to compute transport coefficients: standard…

高能物理 - 理论 · 物理学 2024-08-06 Tuna Demircik , Domingo Gallegos , Umut Gürsoy , Matti Järvinen , Ruben Lier

We study topological modes in relativistic hydrodynamics by weakly breaking the conservation of energy momentum tensor. Several systems have been found to have topologically nontrivial crossing nodes in the spectrum of hydrodynamic modes…

高能物理 - 理论 · 物理学 2022-04-29 Yan Liu , Ya-Wen Sun

We examine the behavior of the retarded Green's function in theories with Lifshitz scaling symmetry, both through dual gravitational models and a direct field theory approach. In contrast with the case of a relativistic CFT, where the…

高能物理 - 理论 · 物理学 2016-02-08 Cynthia Keeler , Gino Knodel , James T. Liu , Kai Sun

We calculate the Ohmic and Hall conductivities from linear response theory in a system consisting of the intersection of Nc Dp-branes and Nf << N_c Dq-branes. Agreement is found between previous results found in a macroscopic approach…

高能物理 - 理论 · 物理学 2009-11-30 Javier Tarrio

We study the holographic description for general stress-energy tensor deformations in arbitrary dimensions using the metric flow approach. Mixed boundary conditions corresponding to these deformations emerge from solutions to the metric…

高能物理 - 理论 · 物理学 2025-10-28 Xi-Yang Ran , Feng Hao , Hao Ouyang

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical…

高能物理 - 理论 · 物理学 2021-08-11 Daniel Arean , Richard A. Davison , Blaise Goutéraux , Kenta Suzuki

The holographic Green's function becomes ambiguous, taking the indeterminate form `$0/0$', at an infinite set of special frequencies and momenta known as ``pole-skipping points''. In this work, we propose that these pole-skipping points can…

高能物理 - 理论 · 物理学 2026-02-16 Zhenkang Lu , Cheng Ran , Shao-feng Wu

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential in their probe limit. This allows us to examine the coupled dynamics of the full complex order parameter with the charge density…

高能物理 - 理论 · 物理学 2022-12-21 Aristomenis Donos , Polydoros Kailidis