Results 31 to 40 of about 2,107 (142)
Direct numerical evaluation of multi-loop integrals without contour deformation
European Physical Journal C: Particles and Fields, 2022 We propose a method for computing numerically integrals defined via $$i \epsilon $$ i ϵ deformations acting on single-pole singularities. We achieve this without an explicit analytic contour deformation. Our solution is then used to produce precise Monte
Roberto Pittau, Bryan Webber
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Berichte zur Wissenschaftsgeschichte, EarlyView.I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
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Conformal structure of massless scalar amplitudes beyond tree level
Journal of High Energy Physics, 2018 We show that the one-loop on-shell four-point scattering amplitude of massless ϕ 4 scalar field theory in 4D Minkowski space time, when Mellin transformed to the Celestial sphere at infinity, transforms covariantly under the global conformal group (SL(2,
Nabamita Banerjee +3 more
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Solving the three-body bound-state Bethe-Salpeter equation in Minkowski space
Physics Letters B, 2019 The scalar three-body Bethe-Salpeter equation, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation.
E. Ydrefors +3 more
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Covariant phase space and soft factorization in non-Abelian gauge theories
Journal of High Energy Physics, 2021 We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of ...
Temple He, Prahar Mitra
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
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Conformal partial wave expansion of celestial correlators
Journal of High Energy PhysicsA novel definition of holographic correlation functions on the celestial sphere of Minkowski space was recently introduced in [1] as the extrapolation of bulk time-ordered correlation functions to the celestial sphere.
Francesca Pacifico +2 more
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de Sitter space as a Glauber-Sudarshan state
Journal of High Energy Physics, 2021 Glauber-Sudarshan states, sometimes simply referred to as Glauber states, or alternatively as coherent and squeezed-coherent states, are interesting states in the configuration spaces of any quantum field theories, that closely resemble classical ...
Suddhasattwa Brahma +2 more
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Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
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