Zobrazeno 1 - 10
of 2 186
pro vyhledávání: '"TRNKA, P."'
We investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, the gravity amplitudes do not have logarithmic singularities and do not admit Amplituhedron-like construction. Importantly, t
Externí odkaz:
http://arxiv.org/abs/2412.08713
We consider linear second order differential equation y''= f with zero Dirichlet boundary conditions. At the continuous level this problem is solvable using the Green function, and this technique has a counterpart on the discrete level. The discrete
Externí odkaz:
http://arxiv.org/abs/2412.06242
Landmark digitization is essential in geometric morphometrics, enabling the quantification of biological shapes, such as facial structures, for in-depth morphological analysis. Traditional landmarking, which identifies specific anatomical points, can
Externí odkaz:
http://arxiv.org/abs/2411.01508
In this paper we discuss the geometric integrand expansion of the five-point Wilson loop with one Lagrangian insertion in maximally supersymmetric Yang-Mills theory. We construct the integrand corresponding to an all-loop class of ladder-type geometr
Externí odkaz:
http://arxiv.org/abs/2410.11456
Autor:
Trnka, Dominik
We introduce unary operadic 2-categories as a framework for operadic Grothendieck construction for categorical $\mathbb{O}$-operads, $\mathbb{O}$ being a unary operadic category. The construction is a fully faithful functor $\int_\mathbb{O}$ which ta
Externí odkaz:
http://arxiv.org/abs/2410.05064
In this paper, we study the scattering amplitudes and soft theorems for the sigma models with two scalars. We show that if the particles are Goldstone bosons, then you necessarily get Adler zero with no possibility for non-trivial soft theorems. For
Externí odkaz:
http://arxiv.org/abs/2409.09534
Autor:
Bartsch, Christoph, Brown, Taro V., Kampf, Karol, Oktem, Umut, Paranjape, Shruti, Trnka, Jaroslav
Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes in certain quantum field theories including the cubic adjoint scalar theory Tr($\phi^3$), the $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. The
Externí odkaz:
http://arxiv.org/abs/2403.10594
In this letter, we discuss a generalization of the Adler zero to loop integrands in the planar limit of the $SU(N)$ non-linear sigma model (NLSM). While possible to maintain at one-loop, the Adler zero for integrands is violated starting at the two-l
Externí odkaz:
http://arxiv.org/abs/2401.04731
We study a novel geometric expansion for scattering amplitudes in the planar sector of N=4 super Yang-Mills theory, in the context of the Amplituhedron which reproduces the all-loop integrand as a canonical differential form on the positive geometry.
Externí odkaz:
http://arxiv.org/abs/2312.17736
The Amplituhedron provides, via geometric means, the all-loop integrand of scattering amplitudes in maximally supersymmetric Yang-Mills theory. Unfortunately, dimensional regularization, used conventionally for integration, breaks the beautiful geome
Externí odkaz:
http://arxiv.org/abs/2311.10814