Results 11 to 20 of about 13,168 (158)
Shift symmetries and duality web in gauge theories
Nuclear Physics B, 2023 Using a generalised Noether prescription we are able to extract all the currents and their conservation laws in space dependent shift symmetric theories.
Rabin Banerjee, Anwesha Chakraborty
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Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
Journal of High Energy Physics, 2023 We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this gives rise to well-defined quadratic charges forming an ...
Marc Geiller +3 more
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Induced Einstein gravity from infinite towers of states
Nuclear Physics B, 2021 We consider four-dimensional quadratic gravity coupled to infinite towers of free massive scalar fields, Weyl fermions and vector bosons. We find that for specific numbers of towers, finite cosmological and Newton constants are induced in the 1-loop ...
A. Kehagias +2 more
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Psi-series of quadratic vector fields on the plane [PDF]
Publicacions Matemàtiques, 1997 Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that ...
Delshams Valdés, Amadeu, Mir, Arnau
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
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Uniqueness of limit cycles for quadratic vector fields
Discrete and Continuous Dynamical Systems, 2019 This article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as $x'= a_1 x-y-a_3x^2+(2 a_2+a_5)xy + a_6 y^2$, $y'= x+a_1 y + a_2x^2+(2 a_3+a_4)xy -a_2y^2$.
Bravo, José Luis +3 more
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A new approach to integrals of discretizations by polarization [PDF]
Open Communications in Nonlinear Mathematical PhysicsRecently, a family of unconventional integrators for ODEs with polynomial vector fields was proposed, based on the polarization of vector fields. The simplest instance is the by now famous Kahan discretization for quadratic vector fields.
Yuri B. Suris
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A Correction to the Paper “Quadratic Hamiltonian Vector Fields”
Journal of Differential Equations, 1996 The authors present a corrected version of Theorem 5.2 from their paper [ibid. 107, No. 1, 80-95 (1994; Zbl 0791.34048)].
Artés, Joan C., Llibre, Jaume
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Stability in quadratic torsion theories
European Physical Journal C: Particles and Fields, 2017 We revisit the definition and some of the characteristics of quadratic theories of gravity with torsion. We start from a Lagrangian density quadratic in the curvature and torsion tensors.
Teodor Borislavov Vasilev +3 more
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Hilbert′s 16th Problem for Quadratic Vector Fields
Journal of Differential Equations, 1994 The second part of Hilbert's 16th problem is to determine the number and relative position of the limit cycles of a polynomial vector field in the plane. This problem remains open even for the case of a vector field whose components are quadratic polynomials.
Dumortier, F. +2 more
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