Krypf’s Diary

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Papers@20230816

High Energy Physics - Theory

[2308.05802] Effective gravitational action for 2D massive Majorana fermions on arbitrary genus Riemann surfaces
https://arxiv.org/abs/2308.05802

We explore the effective gravitational action for two-dimensional massive Euclidean Majorana fermions in a small mass expansion, continuing and completing the study initiated in a previous paper. We perform a detailed analysis of local zeta functions, heat kernels, and Green's functions of the Dirac operator on arbitrary Riemann surfaces. We obtain the full expansion of the effective gravitational action to all orders in m2. For genus one and larger, this requires the understanding of the role of the zero-modes of the (massless) Dirac operator which is worked out.

[2308.07617] Jackiw-Teitelboim Gravity Generates Horndeski via Disformal Transformations
https://arxiv.org/abs/2308.07617

General Relativity and Quantum Cosmology

[2308.07331] Green's function in general relativity
https://arxiv.org/abs/2308.07331

 This report provides Green's functions (classical propagators) of gravitational fields of vierbein and spin-connection in general relativity. The existence of Green's function of the Laplace operator in curved space with an indefinite metric is ensured owing to the Hodge harmonic analysis. The analyticity of Green's function is naturally determined intrinsically, keeping a causality. This report proposed a novel definition of the momentum space in curved space-time and the linearisation of the Einstein equation as a free field consistent with that for the Yang-Mills gauge field. The proposed linearisation does not utilize the weak-field approximation; thus, the method applies to highly caved space-time. We gave two examples of Green's function of gravitational fields, the plane wave solution and the Schwarzschild solution. 

[2308.06598] Hyperfluid model revisited
https://arxiv.org/abs/2308.06598

High Energy Physics - Phenomenology

[2308.06226] Positivity and the Electroweak Hierarchy
https://arxiv.org/abs/2308.06226

Mathematics > Rings and Algebras

[2308.05951] Homotopy conformal algebras
https://arxiv.org/abs/2308.05951

Papers@20230813

High Energy Physics - Theory

[2308.03663] A Background Independent Algebra in Quantum Gravity https://arxiv.org/abs/2308.03663

Edward Witten

We propose an algebra of operators along an observer's worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative entropy with this state. In the case that the only spacetimes considered correspond to de Sitter vacua with different values of the cosmological constant, this definition leads to sensible results.

[2308.04027] Feynman geometry https://arxiv.org/abs/2308.04027

General Relativity and Quantum Cosmology

[2308.05392] Spinning magnetized particles orbiting magnetized Schwarzschild black holes https://arxiv.org/abs/2308.05392

[2308.04692] Conformal geodesics and the evolution of spacetimes with positive Cosmological constant https://arxiv.org/abs/2308.04692

Mathematical Physics

[2308.03731] Quasi-classical approximation of monopole harmonics https://arxiv.org/abs/2308.03731

High Energy Physics - Phenomenology

[2308.05375] Electron $g-2$ corrections from axion dark matter https://arxiv.org/abs/2308.05375

Papers@20230806

High Energy Physics - Theory

[2307.15900] JT Gravity in de Sitter Space and the Problem of Time
https://arxiv.org/abs/2307.15900

[2308.00875] String Field Theory
https://arxiv.org/abs/2308.00875

Note: Review article for Oxford Research Encyclopedia of Physics 

[2307.16624] Fermions with $SU(1,n)$ Spacetime Symmetry
https://arxiv.org/abs/2307.16624

Quantum Physics

[2307.15426] Relativistic Covariance of Scattering
https://arxiv.org/abs/2307.15426

[2308.01166] Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
https://arxiv.org/abs/2308.01166

Shunta Kitahama, Ryo Toyota, Hironobu Yoshida, Hosho Katsura

General Relativity and Quantum Cosmology

[2104.06848] Electromagnetic potentials in curved spacetimes
https://arxiv.org/abs/2104.06848

[gr-qc/9704059] Gravito-electromagnetism
https://arxiv.org/abs/gr-qc/9704059

Papers@20230721

0. はじめに

1. hep-th

[2307.06286] Entanglement Entropy and Algebra in Quantum Field Theory
https://arxiv.org/abs/2307.06286

☆
This essay is submitted for the degree of Master of Advanced Study in Mathematics 2023

[2307.08503] Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing
https://arxiv.org/abs/2307.08503

[2307.10345] Towards a unitary formulation of quantum field theory in curved space-time II: the case of Schwarzschild black hole
https://arxiv.org/abs/2307.10345

2. gr-qc

[2104.01593v1] Electron-photon interaction in de Sitter ambient space formalism
https://arxiv.org/abs/2104.01593v1

\ F. Jalilifard, Y. Ahmadi, M. V. Takook

[Submitted on 4 Apr 2021]

The electron-photon interaction (the spinor-vector field interaction) in the de Sitter ambient space formalism is investigated in the first (leading order) approximation. The interaction Lagrangian and the scattering matrix are presented. In this approximation, the scattering matrix can be written as a expansion of the interaction Lagrangian. The tree-diagram of electron-photon scattering amplitude is calculated. Finally the Minkowski limit is considered.

[2307.08108] De Sitter-Invariant Black Holes
https://arxiv.org/abs/2307.08108

[2307.09632v1] General Formalism of the Quantum Equivalence Principle
https://arxiv.org/abs/2307.09632v1

[2307.10199v1] New solution of Einstein-Yang-Mills equations
https://arxiv.org/abs/2307.10199v1

[2307.10970] Maxwell-Dirac system in cosmology
https://arxiv.org/abs/2307.10970

[2307.03830] 3d Quantum Gravity Partition Function at 3 Loops: a brute force computation
https://arxiv.org/abs/2307.03830

[2307.06690] Anti-de Sitterian "massive" elementary systems and their Minkowskian and Newtonian limits
https://arxiv.org/abs/2307.06690

[2307.00010] A review of the geometrical thermodynamics and its application to black holes
https://arxiv.org/abs/2307.00010

[2307.05367] Minimal Lengths in 3D via the Generalized Uncertainty Principle
https://arxiv.org/abs/2307.05367

3. その他

今週はその他は

n. おわりに

Papers@20230712

High Energy Physics - Theory

[2307.04929] Dual CFT on Nariai limit for Kerr-Newman-dS and Kerr-Sen-dS black holes
https://arxiv.org/abs/2307.04929

[2307.03830] 3d Quantum Gravity Partition Function at 3 Loops: a brute force computation
https://arxiv.org/abs/2307.03830

General Relativity and Quantum Cosmology

[2307.04800] Quantum thermodynamics of de Sitter space
https://arxiv.org/abs/2307.04800

[2307.04743] Geometric post-Newtonian description of massive spin-half particles in curved spacetime
https://arxiv.org/abs/2307.04743

[2307.05243] Inconsistency with De Sitter Spacetime of "Gravitational Pair Production and Black Hole Evaporation"
https://arxiv.org/abs/2307.05243

Mathematical Physics

[2307.04666] Phase space for gravity with boundaries
https://arxiv.org/abs/2307.04666

[2307.05001] The Riemannian curvature identities on Almost Complex Calabi-Yau manifolds with torsion
https://arxiv.org/abs/2307.05001

Papers@20230711

High Energy Physics - Theory

[2307.01841] Traces and Time: a de Sitter Black Hole correspondence
https://arxiv.org/abs/2307.01841

[2307.01274] Supersymmetric localization of (higher-spin) JT gravity: a bulk perspective
https://arxiv.org/abs/2307.01274

[2307.01254] Riemann zeros as quantized energies of scattering with impurities
https://arxiv.org/abs/2307.01254

We construct a physical model of a single particle interacting with impurities spread on a circle, where the quantized energies coming from a Bethe Ansatz equation correspond to the non-trivial zeros of the Riemann ζ-function.

General Relativity and Quantum Cosmology

[2307.02589] The Motion of Test Bodies around Kerr Black Holes
https://arxiv.org/abs/2307.02589

Doctoral thesis

[2307.02567] Spin as a probe of axion physics in general relativity
https://arxiv.org/abs/2307.02567

Mathematical Physics

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