Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Lukowski, Tomasz"'
Recently, a new approach to computing the canonical forms of the momentum amplituhedron in dual-momentum space was proposed by the authors. These are relevant for the integrands of scattering amplitudes in planar N=4 super-Yang-Mills. At one-loop the
Externí odkaz:
http://arxiv.org/abs/2407.12906
In this paper, we define the momentum amplituhedron in the four-dimensional split-signature space of dual momenta. It encodes scattering amplitudes at tree level and loop integrands for N=4 super Yang-Mills in the planar sector. In this description,
Externí odkaz:
http://arxiv.org/abs/2308.02438
Autor:
Lukowski, Tomasz, Stalknecht, Jonah
In this paper, we define the ABJM loop momentum amplituhedron, which is a geometry encoding ABJM planar tree-level amplitudes and loop integrands in the three-dimensional spinor helicity space. Translating it to the space of dual momenta produces a r
Externí odkaz:
http://arxiv.org/abs/2306.07312
Autor:
Ferro, Livia, Lukowski, Tomasz
In this paper we focus on scattering amplitudes in maximally supersymmetric Yang-Mills theory and define a long sought-after geometry, the loop momentum amplituhedron, which we conjecture to encode tree and (the integrands of) loop amplitudes in spin
Externí odkaz:
http://arxiv.org/abs/2210.01127
In this paper we explore and expand the connection between two modern descriptions of scattering amplitudes, the CHY formalism and the framework of positive geometries, facilitated by the scattering equations. For theories in the CHY family whose $S$
Externí odkaz:
http://arxiv.org/abs/2206.14196
In this paper we study the orthogonal momentum amplituhedron $\mathcal{O}_k$, a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theory. We generate the full boundary stratification of $\mathcal{O}_k$ an
Externí odkaz:
http://arxiv.org/abs/2112.03294
Autor:
Lukowski, Tomasz, Stalknecht, Jonah
In this paper we provide a formula for the canonical differential form of the hypersimplex $\Delta_{k,n}$ for all $n$ and $k$. We also study the generalization of the momentum amplituhedron $\mathcal{M}_{n,k}$ to $m=2$, and we conclude that the exist
Externí odkaz:
http://arxiv.org/abs/2107.07520
In recent years, it has been understood that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries. In particular, amplitudes in maximally supersymmetric Yang-Mills theory in spinor helicity space
Externí odkaz:
http://arxiv.org/abs/2103.13908
In this paper we study a relation between two positive geometries: the momentum amplituhedron, relevant for tree-level scattering amplitudes in $\mathcal{N} = 4$ super Yang-Mills theory, and the kinematic associahedron, encoding tree-level amplitudes
Externí odkaz:
http://arxiv.org/abs/2010.15858
Autor:
Ferro, Livia, Lukowski, Tomasz
This review is a primer on recently established geometric methods for observables in quantum field theories. The main emphasis is on amplituhedra, i.e. geometries encoding scattering amplitudes for a variety of theories. These pertain to a broader fa
Externí odkaz:
http://arxiv.org/abs/2007.04342